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Web of Science收录中国学术期刊(/html/200506/96947.html提供,2005)英文刊名中文刊名出版社数据库ISSNACTA BIOCHIMICA ET BIOPHYSICA SINICA 生物化学与生物物理学报SHANGHAI INST BIOCHEMISTRY,ACADEMIA SINICASCIE 0582-9879ACTA BOTANICA SINICA 植物学报SCIENCE CHINA PRESS SCIE 1672-6650ACTA CHIMICA SINICA 化学学报SCIENCE CHINA PRESS SCI CDSCIE0567-7351ACTA GEOLOGICA SINICA-ENGLISH EDITION 地质学报(英文版)GEOLOGICAL SOC CHINA SCIE 1000-9515ACTA MATHEMATICA SCIENTIA 数学物理学报(英文版)KLUWER ACADEMIC PUBL SCIE 0252-9602ACTA MATHEMATICA SINICA-ENGLISH SERIES 数学学报(英文版)SPRINGER-VERLAG HEIDELBERG SCIE 1439-8516ACTA MECHANICA SINICA 力学学报(英文版)CHINESE JOURNAL MECHANICSPRESSSCI CDSCIE0567-7718ACTA MECHANICA SOLIDA SINICA 固体力学学报ACTA MECHANICA SOLIDASINICASCIE 0894-9166ACTA METALLURGICASINICA金属学报SCIENCE CHINA PRESS SCIE 0412-1961 ACTA OCEANOLOGICASINICACHINA OCEAN PRESS SCIE 0253-505X ACTA PETROLOGICASINICA岩石学报SCIENCE CHINA PRESS SCIE 1000-0569ACTA PHARMACOLOGICA SINICA 中国药理学报ACTA PHARMACOLOGICASINICASCI CDSCIE1671-4083ACTA PHYSICA SINICA 物理学报CHINESE PHYSICAL SOC SCI 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ELECTROCHEM SOC JOURNAL OF THE ELECTROCHEMICAL SOCIETY工程技术材料科学:膜4530013-726X ENDOSCOPY ENDOSCOPY医学外科4910015-0282FERTIL STERIL FERTILITY AND STERILITY医学妇产科学5210016-5085GASTROENTEROLOGY GASTROENTEROLOGY医学胃肠肝病学5360016-7606GEOL SOC AM BULL GEOLOGICAL SOCIETY OF AMERICA BULLETIN地学地球科学综合5530017-5749GUT GUT医学胃肠肝病学5820018-9219P IEEE PROCEEDINGS OF THE IEEE工程技术工程:电子与电气6480020-7489INT J NURS STUD INTERNATIONAL JOURNAL OF NURSING STUDIES医学护理6590020-9910INVENT MATH INVENTIONES MATHEMATICAE数学数学6880021-8790J ANIM ECOL JOURNAL OF ANIMAL ECOLOGY环境科学动物学7260021-9738J CLIN INVEST JOURNAL OF CLINICAL INVESTIGATION医学医学:研究与实验7300021-9967J COMP NEUROL JOURNAL OF COMPARATIVE NEUROLOGY医学动物学7390022-0302J DAIRY SCI JOURNAL OF DAIRY SCIENCE农林科学奶制品与动物科学7410022-0345J DENT RES JOURNAL OF DENTAL RESEARCH医学牙科与口腔外科7420022-0396J DIFFER EQUATIONS JOURNAL OF DIFFERENTIAL EQUATIONS数学数学7570022-1007J EXP MED JOURNAL OF EXPERIMENTAL MEDICINE医学免疫学7860022-202X J INVEST DERMATOL JOURNAL OF INVESTIGATIVE 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Investigation of moisture condensation on papermaking plant envelopes in high humidity environment by orthogonal analysis and CFD simulationGuangcai Gong *,Chunwen Xu,Junjun Jiao,Yuankun Liu,Sainan XieCollege of Civil Engineering,Hunan University,Changsha 410082,Chinaa r t i c l e i n f oArticle history:Received 10September 2010Received in revised form 30January 2011Accepted 31January 2011Keywords:Building envelopes Moisture condensationHigh humidity environment Papermaking plantOrthogonal experiment CFD simulationa b s t r a c tThe objective of this study is to investigate the problem of moisture condensation on papermaking plant envelopes in high humidity environment.In this study,orthogonal experiment method is combined with CFD simulation to explore how moisture condensation varies with governing factors,such as the thermal parameters of building envelopes,temperature and humidity distributions or ventilation and air distribution.The criteria used by our work to determine whether the condensation will occur on envelopes are to calculate the temperature differences between the inner surface and the air dew point near the envelopes.Speci fically,the temperature differences have a linear relationship with the gov-erning parameters,and a first-order linear regression equation is derived,which is validated by data from investigation and measurement.This research provides theoretical support and measurement data for solutions of the envelope condensation problems and anti-condensation design of HVAC systems in papermaking plants.Ó2011Elsevier Ltd.All rights reserved.1.IntroductionCondensation problems in papermaking plants can be traced to high emissions of heat and moisture from papermaking process,which makes the indoor environment hot and humid.Hot and humid environment has bad impact on the health,comfort and productivity of the building occupants [1e 3].In addition,moisture contributes to the deterioration of building materials and has an impact on HVAC systems and therefore on the whole building energy performance [4e 6].Surface condensation and extra mois-ture in the air increased the risk of developing microbial vegetation in the plants,which was bad for the quality of paper produced.The severe condensation problems occurring both in summer and winter in most Chinese papermaking plants make the owners of the plants ’and the building design community recognize the need for moisture control and for a better understanding of an available analysis method.One way of controlling indoor relative humidity amplitudes without adding energy costs to buildings is to use the moisture buff-ering capability of building materials of absorbing or releasing mois-ture from/to the adjacent environment [7].In recent times,several researchers have studied the use of various hygroscopic materials to moderate indoor humidity levels [8e 14]and demonstrated thebene fits from inside relative humidity variation control provide by hygroscopic materials [15,16].The recent project IEA Annex [17]contributed to a deeper understanding of that process.However,through the investigation of 9production lines in 5papermaking workshops in China during the last three years,it was found that different geometries and materials of enclosure did not have a signif-icant impact on the condensation problem under such huge moisture emission (0.004e 0.006kg/m 3s of water)all the year round.The moisture source of special occasions like papermaking plant is mainly from the production process,which is quite different from the dwellings discussed by Lucas [18].Materials with good moisture absorption and adsorption can provide a possibility to control the indoor humidity in a residential space,in which the moisture trans-port is governed by the air in filtration,rainwater leakage or the occupants [19].But in papermaking plants,large release of moisture throughout a year may cause the hygroscopic materials invalid.Therefore,this paper makes use of whole building simulation to predict the surface condensation based on the measurement data,neglecting modeling moisture transfer in building materials.As computing power increases,many numerical models are used for heat,air and moisture transfer simulation.In IEA/ECBCS Annex 41[17],numerical models have been used to simulate heat and moisture transfer between indoor air and hygroscopic mate-rials during transient changes in indoor humidity.Lucas [18]used CODYRUN,which is a multi-zone and multi-model software for simulation of building thermal environment,to determine the*Corresponding author.Tel.:þ8613973123865;fax:þ8673188823082.E-mail address:gcgong2000@ (G.Gong).Contents lists available at ScienceDirectBuilding and Environmentjournal homepage:www.elsev /locate/buildenv0360-1323/$e see front matter Ó2011Elsevier Ltd.All rights reserved.doi:10.1016/j.buildenv.2011.01.031Building and Environment 46(2011)1639e 1648characteristics of the air of the zones and the surface temperature.The numerical simulations were used to extrapolate the behavior of surface condensation of dwellings on unusual climatic sequences.Bellia and Minichiello [20]developed a simple evaluator of building envelope moisture condensation.Kunzel and Holm [21]simulated indoor temperature and humidity conditions including hygro-thermal interactions with the building envelopes in 2005.Belarbi and Qin [22]simulated coupled heat and moisture transfer in air-conditioned buildings.Aelenei and Henriques [23]analyzed the condensation risk on exterior surface of building envelopes.They studied on the external environment conditions for exterior surface condensation of buildings,and concluded that the convection and the moisture content of the ambient air played a key role in the occurrence of surface condensations on building facades.In the last two decades,computational fluid dynamics (CFD)has become an important prediction tool in the design and assessment of the indoor building environment.Numbers of applications [24e 27]with CFD models for various indoor environments have achieved considerable success.In this paper,orthogonal experi-ment method is combined with CFD simulation to explore how moisture condensation varies with governing factors.First,the basic information of the hot and humid papermaking plants in China was investigated,such as the geographical environment,local climate,plant characteristics and the performance ofpapermaking machinery.The envelope structures and thermal properties,plant ventilation,as well as heat and moisture distri-bution of the plants in both summer and winter,were also tested during the last 3years.Next,the characteristics of the above-mentioned factors were obtained through the analysis of the test data,which were employed to set the boundary conditions of the CFD model.By using the orthogonal method,18cases of numerical experiments including one measured case (CASE 6)were per-formed.By comparing the results between simulation of CASE 6and those of measurements,the two corresponded well with each other.After that,a linear regression equation was derived from the simulation results.In addition,major parameters by measurements were also substituted into the equation to verify its reliability.Finally,some important conclusions for HVAC design were proposed by the combination of full-scale measurement,CFD simulation,and statistical results.The goal of this paper is to provide a further understanding of how envelope condensation is associated with important under-lying variables and to assess probable locations of high condensation by knowing only the t e ,R ,C l /V ,f s ,t s ,and f p or through CFD simulation.Moreover,this work provides suggestions and guidance for the design community to optimize the design parameters of HVAC systems on special occasions like the papermaking plants.This study is also helpful for people in papermaking profession to regulate and control the performance of air-conditioning equipment.2.Condensation mechanismThis paper focuses on the condensation on inner surfaces of papermaking plant envelopes,especially in the wet department of the plant,around which the roof and walls condense more seri-ously than any other functional department.The characteristicsofFig.1.Condensation on the envelope of the envelope of Jianhui papermaking plant in Guangdong province.Fig.2.Moisture condensation criteria on inner surfaces of plant envelope.Table 1Factors and levels selected for orthogonal experiment.FactorsLevels 123t e ,temperature outside plant,C0510R ,thermal resistance of plant envelope,m 2K/W 0.40.7 1.0C l /V ,ratio of production and plant volume,104t/104m 3 1.0 1.5 2.0A f ,air flow patternBSTE BSTE&L BSTE&B f s ,volume of machinery-supplying air,104m 3/h 304050t s ,temperature of supplying air, C303540f p ,volume of machinery-exhausting air,104m 3/h5075100G.Gong et al./Building and Environment 46(2011)1639e 16481640condensation are re flected by the temperature differences between the building surface and the air dew point,with the moisture transfer in the materials being ignored.The probable condensation on walls may increase the thermal conductivity of building mate-rials and cause animalcule proliferation on moist surfaces as illus-trated in Fig.1,which may have bad in fluence on papermaking process.As soon as the saturated temperature is reached,the water vapor condenses into water and releases heat.q i t d ;(1)D t ¼q i Àt d 0;(2)where D t stands for the differences between the inner surface temperature (q i )and the air dew point temperature near the envelope (t d ).Temperature and humidity in papermaking plants were taken with temperature and humidity recorders at the height of 1.5m,3.0m,4.5m,6.0m etc.Condensation appears only when the temperature of inner surface q i decreases to the air dew point temperature t d ,as shown in Fig.2.In fact,if the papermaking machine is not working,there is no condensation observed on building surfaces.The severe condensation is caused by large emissions of heat and moisture during the papermaking process,rather than the one caused bymoisture transfer within the material itself.The criteria used by our work to determine whether the condensation will occur on enve-lopes are simple and easy to operate.For all the factors needed are easy to measure,particularly for the design community.Indoor environment tends to be complex and requires many parameters to properly characterize its state.Factors which affect the surface temperature and the air dew point can also affect the occurrence of moisture condensation.3.CFD method and orthogonal experimental design 3.1.Orthogonal experimental designOrthogonal experiment method is adopted to design the numerical experiments with signi ficant factors that in fluence D t .Then the simulation results are validated by investigation and measurement data.Orthogonal experiment design includes selec-tions of factors,levels and experiment schemes [28].According to the above analysis of envelope condensation and the measurement data from the investigation,seven factors are chosen for the numerical experiments,which are the temperature outside the plant t e ,thermal resistance of plant envelopes R ,ratio of paper production to the plant volume C l /V ,air flow patterns A f ,flow rate of machinery-supply air f s ,temperature of supply air t s and flow rate of machinery-exhaust air f p .The ratio of paper production to the plant volume indicates the moisture and heat dissipation capacity to some extent.The more levels the factors have,the more the experiments have to be conducted.Generally,fewer experiments should be done to achieve target for the sake of the economy and complexity of the experiments.Since the range of each factor is limited,the temperature outside the plant is in the range À3to 10( C),thermal resistance of plant envelope 0.4e 1.0(m 2K/W),ratio of paper production to the plant volume 1.0e 2.0(104t/104m 3),flow rate of machinery-supply air 30e 50(104m 3/h),temperature of supply air is 30e 40( C),flow rate of machinery-exhaust air is 50e 100(104m 3/h).Air flow patterns include Bottom Supply Top Exhaust (abbr.BSTE),Bottom Supply Top Exhaust with Lateral exhaust (abbr.BSTE&L)and Bottom Supply Top Exhaust with Bilateral exhaust (abbr.BSTE&B).Three levels are chosen for each factor based on measured values of papermaking plants in different regions and different climates,as shown in Table 1.If factors and levels are fully matched,the number of seven factor and three-level simulation experiments will be 37¼2187,which is too large to operate.As a result,experiment times should be reduced as possible as it can,in the premise of guaranteeing theTable 2L18(37)orthogonal array applied for numerical experiments.No.t eR C l /VA f f st sf pC m 2K/W 104t/104m 3e 104m 3/hC104m 3/h CASE100.4 1.0BSTE 303050CASE200.7 1.5BSTE&L 403575CASE30 1.0 2.0BSTE&B 5040100CASE450.4 1.0BSTE&L 4040100CASE550.7 1.5BSTE&B 503050CASE65 1.0 2.0BSTE 303575CASE7100.4 1.5BSTE 5035100CASE8100.7 2.0BSTE&L 304050CASE910 1.0 1.0BSTE&B 403075CASE1000.4 2.0BSTE&B 403550CASE1100.7 1.0BSTE 504075CASE120 1.0 1.5BSTE&L 3030100CASE1350.4 1.5BSTE&B 304075CASE1450.7 2.0BSTE 4030100CASE155 1.0 1.0BSTE&L 503550CASE16100.4 2.0BSTE&L 503075CASE17100.7 1.0BSTE&B 3035100CASE1810 1.01.5BSTE404050Fig.3.Geometric model of Yueyang papermaking plant.G.Gong et al./Building and Environment 46(2011)1639e 16481641results ’accuracy.In this case,orthogonal experiment is an effective way to solve this problem.And the orthogonal table is an essential tool for orthogonal design.The schedule of the orthogonal test is listed in Table 1,where the key parameters are selected as seven factors.And every factor has three levels to be optimized.D t is taken as the index point to evaluate the condensation performance under different factors and levels.Only eighteen numerical exper-iments are needed through the use of L 18(37)orthogonal table shown in Table 2.18cases of numerical experiments are performed,which consist one practical case of Yueyang papermaking plant (CASE 6),serving as a dual purpose of validating the numerical models as well as con firming the regression equation derived from numerical data.3.2.CFD simulationComputational fluid dynamics is used to model the plant temperature,humidity and velocity.A 200m Â28m Â16.9m plant model is used in this paper to simulate an actual papermaking plant in Yueyang,Hunan province.As shown in Fig.3,the total volume of the model is 94640m 3,which is exactly the same size with the one in Yueyang.This industrial papermaking plant is clustered into five parts based on their different functions:(1)wet department (200m !Z !160m),(2)front drying department (160m !Z !100m),(3)glue department (100m !Z !80m),(4)back drying department (80m !Z !60m),(5)completion department (60m !Z !0m).The governing equations (continuity,mass,momentum,energy and turbulence)are solved using the commercial code,Fluent.Astandard k e 3turbulence model is employed,and standard wall function is used for near-wall treatment with certain popularity and advantages.To avoid the prohibitively fine mesh and large number of nodes for low-Reynolds number modeling calculation in large space plants,the standard wall function which is commonly used in practical engineering especially in 3D problems,is applied in this paper with relatively coarse meshes near the wall.If the condensation rate,condensation intensity,mass transfer coef fi-cient,convective heat transfer coef ficient and wall shear stress are investigated in further study,the low-Reynolds number method with finer and more homogeneous grids in partial and sub-size regions is a better choice.However,this paper focuses on the macro-analysis of the condensation regions,the conformance of physical phenomena and the optimization of design parameters in papermaking plants.The y þvalue is controlled at 30<y þ<500for smooth walls in this paper as recommend by Franke et al.[29]for urban environment.The newly built plants,like Yueyang and Ningbo papermaking plants,all use color steel plates and glass windows as envelopes in the past investigations,which are very smooth and correspond to the boundary settings in the calculation.Because the values of heat flux measured by heat flux panels pasted on the internal plant surfaces did not fluctuate much for several hours,the walls and roofs are set with constant heat flux (21.683W/m 2)based on the measurement data.And the floor is considered as adiabatic boundary condition.There are 22bottom air supply inlets (3.5m Â0.4m)on the operation side and 8inlets (0.8m Â0.4m)on the machine side,16mechanical and 1natural exhausters (30m Â3m)installed on the ceilings,together with 12mechanical exhausters on the transmission side and 6mechanical exhausters on the operating side,as illustrated in Fig.3.The papermaking machine is considered as solid surfaces with heat and moisture emissions.The boundary conditions of moisture are used by only setting the magnitude of moisture source (0.004e 0.006kg/m 3s)released from production process in different departments.This value is much larger than other mois-ture sources,like air in filtration,rainwater leakage and the occu-pants,which are negligible in calculation.Moreover,it was found in the survey that if the papermaking machine was not working,there was no condensation observed on building surfaces.Three dimensional unstructured tetrahedron meshes of about 2.38million tetrahedron cells are used to carry out the calculation,which is shown in Fig.4.Grids near mechanical and natural exhausters,air supply inlets as well as papermaking machine are re fined.Minimum length and volume of mesh is 0.001m and 5.69Â10À5m 3,respectively.As we all know,too dense or too sparse mesh may cause large calculation errors.Therefore,we first divided the mesh roughly and simply for calculation on the basis of150155160165170175180parison of measurement and simulation values of temperature distribution at Y ¼3.0m and Y ¼6.0m on vertical plane X ¼16m in the wet department of CASE6.Fig.6.Comparison of measurement and simulation results of relative humidity at Y ¼3.0m and Y ¼6.0m on vertical plane X ¼16m in the wet department of CASE 6.Fig.4.Unstructured tetrahedron meshes on plane Z ¼160m.G.Gong et al./Building and Environment 46(2011)1639e 16481642experience.And then the results (of course these must be conver-gence results)are compared with the measured values.After appropriate encryption or reduction of the grids,it was calculated and compared with the measurement data and the previous simulated results again.If there are small differences between the measured and simulated results (5%),the grids at this range indi-cated credible and independent.Satisfactory agreement between the numerical results and the measurements is achieved after the repeated iterative process by means of the final mesh derivation used in this paper.The standard wall function method with accu-rate boundary condition settings and repeated independence test can get good results of the temperature distribution.4.Results and discussionsparison of measurement and simulation resultsThe 18cases selected through orthogonal experiment are calculated by computational fluid dynamics (CFD),through which the temperature,humidity and velocity distribution field can be predicted.Signi ficant strati fication of temperature and relative humidity along vertical direction at different height can be observed from Figs.5and 6.As shown in Fig.5,temperatures at height 6.0m are higher than those at 3.0m through measurement as well as simulation.So is the relative humidity.ThelargestFig.7.Simulated temperature distributions on inner surfaces of papermaking plant envelopes (q i).Fig.8.Simulated air dew point temperature distributions near the envelopes (t d ).G.Gong et al./Building and Environment 46(2011)1639e 16481643temperature differences between simulation and measurement in Fig.5are about 0.5 C.The agreements verify the accuracy of the simulation results of the thermal environment in papermaking plants,which are credible for further statistical analysis.4.2.Analysis of moisture condensation distributionThe simulated temperature distributions of CASE6on inner surfaces and near the envelopes are shown in Figs.7and 8,respectively.And the temperature differences between them are depicted in Fig.9.The inner surface temperature q i rises from 298.5K in wet department (200m !Z !160m)to the peak 301.5K in front drying department (160m !Z !100m),and then declines to 293.5K in completion department (60m !Z !0m),as shown in Fig.7.Apparently,a large amount of heat is released from the wet and the drying departments,which makes q i higher than that of the completion department.Likewise,large emissions of moisture from the wet department make t d higher than that of theotherFig.9.Temperature differences between inner surfaces and the air dew point near the envelopes (D t ).Table 3Orthogonal experiment results by range analysis.No.Factors Resultt e R C l /VA f f st s f pD t( C)(m 2K/W)(104t/104m 3)e(104m 3/h)( C)(104m 3/h)( C)CASE100.4 1.0BSTE 303050À3.42CASE200.7 1.5BSTE&L 403575À0.20CASE30 1.0 2.0BSTE&B 5040100 2.39CASE450.4 1.0BSTE&L 4040100 4.24CASE550.7 1.5BSTE&B 503050 4.24CASE65 1.0 2.0BSTE 303575À0.58CASE7100.4 1.5BSTE 5035100 5.28CASE8100.7 2.0BSTE&L 304050 5.68CASE910 1.0 1.0BSTE&B 403075 5.06CASE1000.4 2.0BSTE&B 403550 1.51CASE1100.7 1.0BSTE 5040758.31CASE120 1.0 1.5BSTE&L 3030100À5.15CASE1350.4 1.5BSTE&B 304075 1.11CASE1450.7 2.0BSTE 4030100À1.68CASE155 1.0 1.0BSTE&L 50355011.55CASE16100.4 2.0BSTE&L 503075 1.97CASE17100.7 1.0BSTE&B 3035100 5.21CASE1810 1.0 1.5BSTE 40405011.08K 1j /( C) 3.44010.69233.10818.990 2.850 1.02030.642K 2j /( C)18.88021.55816.36218.09020.01022.77015.672K 3j /( C)34.28024.3489.28819.51833.73832.80810.2901j =ð C Þ0.573 1.782 5.518 3.1650.4750.170 5.1072j =ð C Þ 3.147 3.593 2.727 3.015 3.335 3.795 2.6123j =ð C Þ 5.713 4.058 1.548 3.253 5.623 5.468 1.715R j /( C)5.1402.2763.6100.2385.1485.2983.392G.Gong et al./Building and Environment 46(2011)1639e 16481644departments.As shown in Fig.8,the regions with high air dew point temperatures (298e 302K)distributes around the wet department (200m !Z !160m).Fig.9displays the variations of D t from À0.8 C in the wet department to 25.2 C in the completion department.Therefore,surfaces around the wet department are easy to condense while it ’s not easy to find condensations on walls in drying and completion departments.In fact,inner surfaces around the wet departments were always observed moisture condensation in papermaking plants both in summers and winters,especially in those of north China.Condensed water droplets on inner surfaces accumulated themselves and flowed to corners or dropped on floors,machines and even on paper,which became unquali fied.4.3.Analysis of factors affecting moisture condensationThe temperature differences (D t )between inner surfaces and the dew point near the envelopes in wet departments (CASE1e CASE18)are derived from Tecplot post-processing software.The average temperature differences in wet departments of the 18cases are listed respectively in the result row of Table 3.The important seven factors affecting moisture condensation are also analyzed by statistical methods.4.3.1.Estimation of factors ’effect by range analysisRange analysis method is employed to check the relative importance of each factor by calculating the differences between the maximum and the minimum according to Eqs.(3)and (4).ij ¼1K ij;(3)R j ¼max n ij o Àmin n ij o;(4)where i signi fies different experimental levels of each factor,j the different factors,K ij the experimental results of factor j at level i ,and K ij the average of K ij .The calculated results are listed in Table 3.The relative in fluence of each factor on D t can be estimated by comparing the magnitude of R j .From Table 3,it can be concluded that the order of their in fluences on surface condensation is t s >f s >t e >C l /V >f p >R >A f .Relationships between D t and the seven factors are depicted in Figs.10e 16respectively.The results also suggest that the temperature differences are proportional to the outdoor temperature,thermal resistance,flow rate of machinery-supply air,as well as temperature of supply air,but inversely proportional to the ratio of the production to the plant volume as well as the flow rate of machinery-exhaust air.The application of the air flow pattern e Bottom Supply Top Exhaust with Lateral exhaust,may increase the risk of condensation,as shown in Fig.13.However,considering the initial investment,the Bottom Supply Top Exhaust is the best among the three patterns.Thus,the optimal combination of the seven factors to gain the least moisture condensation is t s 3,f s 3,t e 3,C l 1/V ,f p 1,R 3,A f 1.That is to say,the temperature of supply air should be set at 40 C,the flow rate of machinery-supply air 50Â104m 3/h,the temperature outside the plant 10 C,the ratio of paper production to the plant volume 1.0Â104t/104m 3,the flow rate of machinery-exhaust air 50Â104m 3/h,the thermal resistance of building envelope 1.0m 2K/W,and the air flow pattern of Bottom Supply Top Exhaust.4.3.2.Variance analysisVariance analysis is adopted to analyze the orthogonal experi-ment results and to determine the priority levels of impact factors.The total sum of deviation square (S T )and the sum of deviation square caused by j row (S j )are calculated by Eqs.(5)and (6)S T ¼Xn i ¼1ðy i Ày Þ2¼X n i ¼1y 2i Àny2(5)S j ¼r n X r i ¼1K 2ij À1n X ni ¼1y i2(6)The variance for each factor is calculated by Eq.(7)Fig.10.Relationship between D t and t e.Fig.11.Relationship between D t and R.Fig.12.Relationship between D t and C l /V.Fig.13.Relationship between D t and Air flow patterns.G.Gong et al./Building and Environment 46(2011)1639e 16481645j ¼S j =f j(7)where f j is the freedom de fined as the level number minus one.The ratio of variance is calculated by Eq.(8),where the denominator is the error variance.F j ¼S j =f j S e =f e ¼S jS ew F f j ;f e(8)The results computed by the above equations are listed in Table 4,to validate the signi ficance of each factor according to the F-distribution law F (a ,f 1,f 2),where f 1and f 2are the freedoms of the numerator and denominator in the ratio of variance respectively.It can be seen from Table 4that A (temperature outside the plant),E (flow rate of machinery-supply air),F (temperature of supply air)have signi ficant effects on condensation.Moreover,the signi ficance of each factor derived from variance analysis agrees well with that from previous range analysis.4.3.3.Multiple linear regression equationThe correlations between D t and the key factors are studied by regression analysis [30,31]based on numerical experiment data.The normal way to achieve the optimized regression equation is to use stepwise regression algorithm.The optimized regression equation includes all signi ficant variables to index Y ,excluding the insigni ficant ones.As the effect of air flow pattern on condensationis not as notable as the other 6factors,shown in Table 4,it is neglected in the following derivation.The probable equation between D t and the factors can be assumed as the linear form:D t ¼a þb 1t e þb 2R þb 3C l =V þb 4f s þb 5t sþb 6f p ;3w N ð0;s 2Þ(9)Table 5presents the calculated results of the coef ficients for each factor.Then a linear regression equation between D t and the factors is achieved,which can be written as:D t ¼À20:420þ0:514t e þ3:794R À3:610C l =Vþ0:257f s þ0:530t s À0:068f pð10ÞThe statistical signi ficance and validity of the derived regression equation are examined by test statistics.The R 0-squared,the coef-ficient of determination,is the proportion of variance independentFig.14.Relationship between D t and f s.Fig.15.Relationship between D t and t s.Fig.16.Relationship between D t and f p .Table 4Signi ficance of each factor by variance analysis.a j j jA(t e )79.259239.6309.039**B(R )17.36328.682 1.980C(C l /V )40.667220.334 4.638*D(A f )0.17420.0870.020E(f s )79.843239.9229.106**F(t s )88.026244.01310.039***G(f p )37.065218.533 4.227e D 17.5404 4.385F0F 0.1(2,4)¼4.32;F 0.05(2,4)¼6.94a“*”indicates the signi ficant degree of each factor;superscript “D ”means this factor has negligible effect on results.Table 5Coef ficients of the variables in the regression equation.Coef ficientsStd.error t Stat p -value Constant À20.420 3.551À5.7510.0001t e 0.5140.075 6.8710.0000R 3.794 1.247 3.0430.0112C l /V À3.6100.748À4.8260.0005f s 0.2570.037 6.8820.0000t s 0.5300.0757.0820.0000f pÀ0.0680.015À4.5340.0009Table 6Comparisons between the simulated and equation predicted values.No.Numerical value D t n ( C)Predicted value D t p ( C)Residuals Standard residuals CASE1À3.42À2.29À1.13À1.09CASE2À0.200.57À0.77À0.74CASE3 2.39 3.44À1.05À1.00CASE4 4.24 4.76À0.52À0.50CASE5 4.24 4.77À0.53À0.50CASE6À0.58À0.10À0.48À0.46CASE7 5.28 5.45À0.17À0.17CASE8 5.68 5.680.000.00CASE9 5.06 6.01À0.95À0.91CASE10 1.51À0.67 2.18 2.09CASE118.317.600.710.68CASE12À5.15À5.210.060.05CASE13 1.11 2.08À0.97À0.93CASE14À1.68À3.01 1.33 1.27CASE1511.5510.36 1.19 1.14CASE16 1.97 2.70À0.73À0.70CASE17 5.21 3.25 1.96 1.88CASE1811.0811.20À0.12À0.11G.Gong et al./Building and Environment 46(2011)1639e 16481646。
刊名简称刊名全称ISSN 大类名称复分大类分区是否为TOP期刊010年影响因子ANNU REV MAR SCI Annual Review of Mari 1941-1405地学1Y 15.000ATMOS CHEM PHYS ATMOSPHERIC CHEMISTRY 1680-7316地学1Y 5.309B AM METEOROL SOC BULLETIN OF THE AMERI 0003-0007地学1Y 5.078CLIM DYNAM CLIMATE DYNAMICS 0930-7575地学1Y 3.843CRYOSPHERE Cryosphere 1994-0416地学1Y 3.641EARTH PLANET SC LETT EARTH AND PLANETARY S 0012-821X 地学1Y 4.279EARTH-SCI REV EARTH-SCIENCE REVIEWS 0012-8252地学1Y 5.833GEOCHIM COSMOCHIM AC GEOCHIMICA ET COSMOCH 0016-7037地学1Y 4.101GEOLOGY GEOLOGY 0091-7613地学1Y 4.026GONDWANA RES GONDWANA RESEARCH 1342-937X 地学1Y 5.503J CLIMATE JOURNAL OF CLIMATE 0894-8755地学1Y 3.513J METAMORPH GEOL JOURNAL OF METAMORPHI 0263-4929地学1Y 3.418J PETROL JOURNAL OF PETROLOGY 0022-3530地学1Y 3.842NAT GEOSCI Nature Geoscience 1752-0894地学1Y 10.392PALEOCEANOGRAPHY PALEOCEANOGRAPHY 0883-8305地学1Y 4.030PRECAMBRIAN RES PRECAMBRIAN RESEARCH 0301-9268地学1Y 4.116QUATERNARY SCI REV QUATERNARY SCIENCE RE 0277-3791地学1Y 4.657REV GEOPHYS REVIEWS OF GEOPHYSICS 8755-1209地学1Y 9.538AM J 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Ad Hoc & Sensor Wireless Networks 工程技术1280-8571ADANSONIA ADANSONIA 生物1059-7123ADAPT BEHAV ADAPTIVE BEHAVIOR 工程技术0736-5829ADAPT PHYS ACT Q ADAPTED PHYSICAL ACTIVITY QUARTERLY 医学0306-4603ADDICT BEHAV ADDICTIVE BEHAVIORS 医学1355-6215ADDICT BIOL ADDICTION BIOLOGY 0965-2140ADDICTION ADDICTION医学0214-4840ADICCIONESAdiccionesSUBSTANCE ABUSE 0263-6174ADSORPT SCI TECHNO ADSORPTION SCIENCE & TECHNOLOGY 工程技术0929-5607ADSORPTION ADSORPTION-JOURNAL OF THE INTERNATIONALADSORPTION SOCIETY工程技术0065-2113ADV AGRON ADVANCES IN AGRONOMY农林科学0301-5556ADV ANAT EMBRYOL CADVANCES IN ANATOMY EMBRYOLOGY AND CELLBIOLOGY生物1072-4109ADV ANAT PATHOL ADVANCES IN ANATOMIC PATHOLOGY 医学1743-6753ADV APPL CERAM Advances in Applied Ceramics工程技术0188-7009ADV APPL CLIFFORD Advances in Applied Clifford Algebras 数学0196-8858ADV APPL MATH ADVANCES IN APPLIED MATHEMATICS数学2070-0733ADV APPL MATH MECHAdvances in Applied Mathematics andMechanicsMATHEMATICS,APPLIED 0065-2156ADV APPL MECH ADVANCES IN APPLIED MECHANICS 工程技术0065-2164ADV APPL 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ELECTRON MATER Advanced Electronic Materials1614-6832ADV ENERGY MATER Advanced Energy Materials CHEMISTRY,PHYSICAL 1474-0346ADV ENG INFORM ADVANCED ENGINEERING INFORMATICS 工程技术1438-1656ADV ENG MATER ADVANCED ENGINEERING MATERIALS 工程技术0965-9978ADV ENG SOFTW ADVANCES IN ENGINEERING SOFTWARE工程技术0065-2598ADV EXP MED BIOLAdvances in Experimental Medicine andBiology1616-301X ADV FUNCT MATER ADVANCED FUNCTIONAL MATERIALS 工程技术0065-2660ADV GENET ADVANCES IN GENETICS 生物1615-715XADV GEOM ADVANCES IN GEOMETRY数学0065-2687ADV GEOPHYS Advances in GeophysicsGEOSCIENCES,MULTIDISCIPLINA RY 1382-4996ADV HEALTH SCI EDU ADVANCES IN HEALTH SCIENCES EDUCATION 医学2192-2640ADV HEALTHC MATER Advanced healthcare materials 工程技术0065-2725ADV HETEROCYCL CHE ADVANCES IN HETEROCYCLIC CHEMISTRY 化学1687-7357ADV HIGH ENERGY PH Advances in High Energy PhysicsPHYSICS,PARTICLES &FIELDS 0065-2776ADV IMMUNOL ADVANCES IN IMMUNOLOGY医学0898-8838ADV INORG CHEM ADVANCES IN INORGANIC CHEMISTRY 化学0065-2806ADV INSECT PHYSIOL ADVANCES IN INSECT PHYSIOLOGY生物0065-2881ADV MAR BIOL Advances in Marine BiologyMARINE &FRESHWATER BIOLOGY 0935-9648ADV MATERADVANCED MATERIALS 工程技术2196-7350ADV MATER INTERFAC Advanced Materials Interfaces 0882-7958ADV MATER PROCESS ADVANCED MATERIALS & PROCESSES工程技术1687-8434ADV MATER SCI ENGAdvances in Materials Science andEngineeringMATERIALS SCIENCE,MULTIDISCIPLINA RY 0001-8708ADV MATH ADVANCES IN MATHEMATICS 数学1930-5346ADV MATH COMMUNAdvances in Mathematics ofCommunications工程技术1687-9120ADV MATH PHYS Advances in Mathematical Physics 数学1687-8132ADV MECH ENG Advances in Mechanical Engineering 工程技术1896-1126ADV MED SCI-POLAND Advances in Medical Sciences 医学1687-9309ADV METEOROL Advances in Meteorology 地学天文0065-2911ADV MICROB PHYSIOL ADVANCES IN MICROBIAL PHYSIOLOGY生物2043-6254ADV NAT SCI-NANOSCAdvances in Natural Sciences-Nanoscience and Nanotechnology1536-0903ADV NEONAT CARE Advances in Neonatal Care 2191-9496ADV NONLINEAR ANAL Advances in Nonlinear Analysis 1536-1365ADV NONLINEAR STUD ADVANCED NONLINEAR STUDIES 数学0161-9268ADV NURS SCI ADVANCES IN NURSING SCIENCE医学2161-8313ADV NUTRAdvances in nutrition (Bethesda, Md.)医学2195-1071ADV OPT MATER Advanced Optical MaterialsMATERIALS SCIENCE,MULTIDISCIPLINA RY 1943-8206ADV OPT PHOTONICS Advances in Optics and Photonics OPTICS 0065-3055ADV ORGANOMET CHEM ADVANCES IN ORGANOMETALLIC CHEMISTRY 化学0065-308X ADV PARASIT ADVANCES IN PARASITOLOGY医学0001-8732ADV PHYSADVANCES IN PHYSICS物理0065-3160ADV PHYS ORG CHEM ADVANCES IN PHYSICAL ORGANIC CHEMISTRY 化学1043-4046ADV PHYSIOL EDUC ADVANCES IN PHYSIOLOGY EDUCATION 医学0065-3195ADV POLYM SCI ADVANCES IN POLYMER SCIENCE化学0730-6679ADV POLYM TECH ADVANCES IN POLYMER TECHNOLOGY 工程技术0921-8831ADV POWDER TECHNOL ADVANCED POWDER TECHNOLOGY工程技术1854-6250ADV PROD ENG MANAGAdvances in Production Engineering &Management0065-3276ADV QUANTUM CHEM ADVANCES IN QUANTUM CHEMISTRY 化学0169-1864ADV ROBOTICS ADVANCED ROBOTICS 工程技术2198-3844ADV SCI Advanced Science 1527-7941ADV SKIN WOUND CAR Advances in Skin & Wound Care DERMATOLOGY 0273-1177ADV SPACE RES ADVANCES IN SPACE RESEARCH地学天文1816-112X ADV STEEL CONSTR Advanced Steel Construction CONSTRUCTION &BUILDING TECHNOLOGY 1369-4332ADV STRUCT ENG ADVANCES IN STRUCTURAL ENGINEERING 工程技术0065-3454ADV STUD BEHAV ADVANCES IN THE STUDY OF BEHAVIOR 医学1615-4150ADV SYNTH CATAL ADVANCED SYNTHESIS & CATALYSIS 化学1095-0761ADV THEOR MATH PHY Advances in Theoretical and Mathematical Physics 物理0741-238X ADV THER ADVANCES IN THERAPY医学0972-5768ADV VIB ENGADVANCES IN VIBRATION ENGINEERINGENGINEERING,MECHANICAL 0309-1708ADV WATER RESOUR ADVANCES IN WATER RESOURCES 环境科学1875-9637AEOLIAN RESAeolian ResearchGEOGRAPHY,PHYSICAL 0001-9054AEQUATIONES MATH Aequationes Mathematicae MATHEMATICS,APPLIED 0393-5965AEROBIOLOGIA AEROBIOLOGIA环境科学0001-9240AERONAUT JAERONAUTICAL JOURNAL工程技术1680-8584AEROSOL AIR QUAL R Aerosol and air quality research ENVIRONMENTAL SCIENCES 0278-6826AEROSOL SCI TECH AEROSOL SCIENCE AND TECHNOLOGY 环境科学2375-6314AEROSP MED HUM PER Aerospace Medicine and HumanPerformance1270-9638AEROSP SCI TECHNOL AEROSPACE SCIENCE AND TECHNOLOGY 工程技术0740-722X AEROSPACE AM AEROSPACE AMERICA 工程技术0364-216X AESTHET PLAST SURG AESTHETIC PLASTIC SURGERY 医学1090-820X AESTHET SURG J Aesthetic Surgery JournalSURGERY 1434-8411AEU-INT J ELECTRONAEU-INTERNATIONAL JOURNAL OFELECTRONICS AND COMMUNICATIONS工程技术0001-9704AFINIDAD AFINIDAD 化学1021-3589AFR ENTOMOL AFRICAN ENTOMOLOGY生物1680-6905AFR HEALTH SCI African Health SciencesMEDICINE,GENERAL &INTERNAL1681-5556AFR INVERTEBR AFRICAN INVERTEBRATES生物1608-5914AFR J AQUAT SCI African Journal of Aquatic ScienceMARINE &FRESHWATER BIOLOGY 0141-6707AFR J ECOLAFRICAN JOURNAL OF ECOLOGY环境科学2156-4574AFR J HERPETOL AFRICAN JOURNAL OF HERPETOLOGY ZOOLOGY 1814-232X AFR J MAR SCI AFRICAN JOURNAL OF MARINE SCIENCE生物1022-0119AFR J RANGE FOR SCAfrican Journal of Range and ForageScienceECOLOGY0189-6016AFR J TRADIT COMPL African Journal of TraditionalComplementary and Alternative Medicines医学2305-7963AFR NAT HIST African Natural History1562-7020AFR ZOOL AFRICAN ZOOLOGY 生物0161-9152AGE AGE 医学0002-0729AGE AGEING AGE AND AGEING医学1568-1637AGEING RES REV AGEING RESEARCH REVIEWS 医学0096-140X AGGRESSIVE BEHAV AGGRESSIVE BEHAVIOR 医学1474-9718AGING CELL AGING CELL生物1594-0667AGING CLIN EXP RESAGING CLINICAL AND EXPERIMENTALRESEARCH医学2152-5250AGING DIS Aging and Disease 1368-5538AGING MALE Aging Male 医学1360-7863AGING MENT HEALTH AGING & MENTAL HEALTH 医学1945-4589AGING-US Aging CELL BIOLOGY 0169-5150AGR ECON-BLACKWELL AGRICULTURAL ECONOMICS管理科学0139-570X AGR ECON-CZECHAgricultural Economics-ZemedelskaEkonomikaAGRICULTURAL ECONOMICS &POLICY 0167-8809AGR ECOSYST ENVIRO AGRICULTURE ECOSYSTEMS & ENVIRONMENT 环境科学1459-6067AGR FOOD SCI AGRICULTURAL AND FOOD SCIENCE农林科学1461-9555AGR FOREST ENTOMOL AGRICULTURAL AND FOREST ENTOMOLOGY 农林科学0168-1923AGR FOREST METEORO AGRICULTURAL AND FOREST METEOROLOGY 农林科学0002-1482AGR HIST AGRICULTURAL HISTORY农林科学0889-048X AGR HUM VALUES AGRICULTURE AND HUMAN VALUES 农林科学0308-521X AGR SYST AGRICULTURAL SYSTEMS 农林科学0378-3774AGR WATER MANAGE AGRICULTURAL WATER MANAGEMENT农林科学1663-7852AGRARFORSCH SCHWEI AGRARFORSCH SCHWEIZAGRICULTURE,MULTIDISCIPLINA RY0303-1853AGREKON AgrekonAGRICULTURAL ECONOMICS &POLICY 0742-4477AGRIBUSINESSAgribusiness农林科学1722-6996AGRO FOOD IND HI T AGRO FOOD INDUSTRY HI-TECH 工程技术0002-1857AGROCHIMICA AGROCHIMICA农林科学1405-3195AGROCIENCIA-MEXICO AGROCIENCIA 农林科学2168-3565AGROECOL SUST FOODAgroecology and Sustainable FoodSystemsAGRICULTURE,MULTIDISCIPLINA RY0167-4366AGROFOREST SYST AGROFORESTRY SYSTEMS农林科学0002-1962AGRON J AGRONOMY JOURNAL农林科学1774-0746AGRON SUSTAIN DEV Agronomy for Sustainable Development 农林科学0921-7126AI COMMUN AI COMMUNICATIONS工程技术0890-0604AI EDAM AI EDAM-ARTIFICIAL INTELLIGENCE FORENGINEERING DESIGN ANALYSIS AND MANUFAC工程技术0738-4602AI MAG AI MAGAZINE工程技术0001-1452AIAA J AIAA JOURNAL 工程技术0001-1541AICHE J AICHE JOURNAL 工程技术0269-9370AIDS AIDS 医学1087-2914AIDS PATIENT CARE AIDS PATIENT CARE AND STDS 医学0889-2229AIDS RES HUM RETRO AIDS RESEARCH AND HUMAN RETROVIRUSES医学1742-6405AIDS RES THER AIDS Research and Therapy INFECTIOUS DISEASES 1139-6121AIDS REV AIDS REVIEWS 医学2158-3226AIP ADVAIP AdvancesNANOSCIENCE &NANOTECHNOLOGY 1873-9318AIR QUAL ATMOS HLT Air Quality, Atmosphere and Health ENVIRONMENTAL SCIENCES 1748-8842AIRCR ENG AEROSP TAIRCRAFT ENGINEERING AND AEROSPACETECHNOLOGY工程技术1608-5906AJAR-AFR J AIDS RE AJAR-African Journal of AIDS Research 医学0341-051X AKTUEL RHEUMATOL AKTUELLE RHEUMATOLOGIE 医学0001-7868AKTUEL UROL AKTUELLE UROLOGIE医学0311-5518ALCHERINGA ALCHERINGA 地学0741-8329ALCOHOL ALCOHOL 医学0735-0414ALCOHOL ALCOHOLISM ALCOHOL AND ALCOHOLISM医学0145-6008ALCOHOL CLIN EXP RALCOHOLISM-CLINICAL AND EXPERIMENTALRESEARCH医学0002-5100ALDRICHIM ACTA ALDRICHIMICA ACTA化学1980-0436ALEA-LAT AM J PROB Latin American Journal of Probability and Mathematical Statistics STATISTICS &PROBABILITY 1226-2617ALGAE-SEOUL ALGAE2211-9264ALGAL RES Algal Research-Biomass Biofuels and BioproductsBIOTECHNOLOGY &APPLIEDMICROBIOLOGY 1005-3867ALGEBR COLLOQALGEBRA COLLOQUIUM数学1472-2739ALGEBR GEOM TOPOL Algebraic and Geometric Topology 数学0002-5232ALGEBR LOG+Algebra and Logic 数学1937-0652ALGEBR NUMBER THEO Algebra and Number TheoryMATHEMATICS1386-923X ALGEBR REPRESENT T ALGEBRAS AND REPRESENTATION THEORY数学0002-5240ALGEBR UNIVALGEBRA UNIVERSALIS 数学1748-7188ALGORITHM MOL BIOL Algorithms for Molecular Biology 生物0178-4617ALGORITHMICA ALGORITHMICA工程技术0269-2813ALIMENT PHARM THER ALIMENTARY PHARMACOLOGY & THERAPEUTICS 医学0971-4693ALLELOPATHY J ALLELOPATHY JOURNAL农林科学0301-0546ALLERGOL IMMUNOPAT ALLERGOLOGIA ET IMMUNOPATHOLOGIA 医学1323-8930ALLERGOL INT ALLERGOLOGY INTERNATIONAL 0344-5062ALLERGOLOGIE ALLERGOLOGIE 医学0105-4538ALLERGY ALLERGY医学1710-1484ALLERGY ASTHMA CL Allergy Asthma and Clinical Immunology2092-7355ALLERGY ASTHMA IMM The American Academy of Allergy Asthmaand ImmunologyALLERGY 1088-5412ALLERGY ASTHMA PRO ALLERGY AND ASTHMA PROCEEDINGS 医学0002-5852ALLG FORST JAGDZTG ALLGEMEINE FORST UND JAGDZEITUNG 农林科学1664-2201ALPINE BOT Alpine BotanyPLANT SCIENCES 1078-6791ALTERN THER HEALTHAlternative therapies in health and medicineINTEGRATIVE &COMPLEMENTARY MEDICINE 1868-596X ALTEX-ALTERN ANIMALTEX-ALTERNATIVES TO ANIMAL EXPERIMENTATIONMEDICINE,RESEARCH &EXPERIMENTAL 0893-0341ALZ DIS ASSOC DIS ALZHEIMER DISEASE & ASSOCIATED DISORDERS医学1552-5260ALZHEIMERS DEMENT Alzheimers & Dementia 医学1758-9193ALZHEIMERS RES THE Alzheimer\'s Research and Therapy 医学0002-7685AM BIOL TEACH The American Biology Teacher BIOLOGY 0002-7812AM CERAM SOC BULL AMERICAN CERAMIC SOCIETY BULLETIN 工程技术0002-838X AM FAM PHYSICIAN AMERICAN FAMILY PHYSICIAN 医学0002-8444AM FERN J AMERICAN FERN JOURNAL 生物0002-8703AM HEART J AMERICAN HEART JOURNAL医学0002-9092AM J AGR ECONAMERICAN JOURNAL OF AGRICULTURALECONOMICS管理科学1533-3175AM J ALZHEIMERS DIAmerican Journal of Alzheimer\'sDisease and other DementiasGERIATRICS &GERONTOLOGY 1059-0889AM J AUDIOLAmerican Journal of AudiologyAUDIOLOGY &SPEECH-LANGUAGE PATHOLOGY 1526-5161AM J BIOETHICS AMERICAN JOURNAL OF BIOETHICS 社会科学0002-9122AM J BOT AMERICAN JOURNAL OF BOTANY 生物2156-6976AM J CANCER RES American Journal of Cancer ResearchONCOLOGY 0002-9149AM J CARDIOLAMERICAN JOURNAL OF CARDIOLOGY医学1175-3277AM J CARDIOVASC DRAmerican Journal of CardiovascularDrugs医学0192-415X AM J CHINESE MED AMERICAN JOURNAL OF CHINESE MEDICINE 医学1175-0561AM J CLIN DERMATOLAMERICAN JOURNAL OF CLINICALDERMATOLOGY医学0002-9165AM J CLIN NUTR AMERICAN JOURNAL OF CLINICAL NUTRITION 医学0277-3732AM J CLIN ONCOL-CAAMERICAN JOURNAL OF CLINICAL ONCOLOGY-CANCER CLINICAL TRIALS医学0002-9173AM J CLIN PATHOL AMERICAN JOURNAL OF CLINICAL PATHOLOGY 医学1062-3264AM J CRIT CARE AMERICAN JOURNAL OF CRITICAL CARE 医学0894-8275AM J DENT AMERICAN JOURNAL OF DENTISTRY 医学0193-1091AM J DERMATOPATH AMERICAN JOURNAL OF DERMATOPATHOLOGY 医学0095-2990AM J DRUG ALCOHOLAMERICAN JOURNAL OF DRUG AND ALCOHOLABUSESUBSTANCE ABUSE 0735-6757AM J EMERG MED AMERICAN JOURNAL OF EMERGENCY MEDICINE 医学0002-9254AM J ENOL VITICULT AMERICAN JOURNAL OF ENOLOGY AND VITICULTURE农林科学0002-9262AM J EPIDEMIOL AMERICAN JOURNAL OF EPIDEMIOLOGY医学0195-7910AM J FOREN MED PATAMERICAN JOURNAL OF FORENSIC MEDICINEAND PATHOLOGY医学0002-9270AM J GASTROENTEROL AMERICAN JOURNAL OF GASTROENTEROLOGY医学1064-7481AM J GERIAT PSYCHIAMERICAN JOURNAL OF GERIATRICPSYCHIATRY医学1079-2082AM J HEALTH-SYST PAMERICAN JOURNAL OF HEALTH-SYSTEMPHARMACY医学0361-8609AM J HEMATOL AMERICAN JOURNAL OF HEMATOLOGY医学1049-9091AM J HOSP PALLIAT American Journal of Hospice andPalliative MedicineHEALTH CARE SCIENCES &SERVICES 1042-0533AM J HUM BIOLAMERICAN JOURNAL OF HUMAN BIOLOGY生物0002-9297AM J HUM GENET AMERICAN JOURNAL OF HUMAN GENETICS 生物0895-7061AM J HYPERTENS AMERICAN JOURNAL OF HYPERTENSION医学0271-3586AM J IND MEDAMERICAN JOURNAL OF INDUSTRIAL MEDICINE 医学0196-6553AM J INFECT CONTRO AMERICAN JOURNAL OF INFECTION CONTROL 医学0272-6386AM J KIDNEY DIS AMERICAN JOURNAL OF KIDNEY DISEASES 医学1088-0224AM J MANAG CARE AMERICAN JOURNAL OF MANAGED CARE 医学0002-9327AM J MATH AMERICAN JOURNAL OF 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10Advances in Meteorological Science and Technology 气象科技进展 13(6)- 2023收稿日期:2022年8月5日;修回日期:2023年1月10日第一作者:刘嘉慧敏(1989—),Email :***************资助信息: 陕西省自然科学基础研究计划(2022JQ-279);陕西省气象局秦岭和黄土高原生态环境气象重点实验室面上基金(2022Y-1);陕西省自然科学基础研究计划(2021JQ-964)我国气温网格预报检验及客观订正方法研究进展刘嘉慧敏1, 2 潘留杰1, 2 戴昌明1, 2 胡启元1, 2 何林3 燕若彤4(1 陕西省气象台,西安 710014;2 秦岭和黄土高原生态环境气象重点实验室,西安 710044;3 陕西省气象信息中心,西安 710014;4 成都信息工程大学大气科学学院,成都 610225)摘要:中国气象局自2014年启动无缝隙精细化网格天气预报业务,高分辨率的智能网格预报已成为天气预报目前的主推业务和未来的发展方向。
近年来,随着数值模式统计后处理技术的飞速发展,气温网格预报质量稳步提升。
本文在总结现有气温网格预报精细化检验评估方法的基础上,系统梳理了单模式订正、多模式集成释用和大数据人工智能等数值模式释用技术在气温网格预报客观订正领域的最新进展,阐明了不同方法在气温网格预报领域的优势和劣势。
在当前人工智能、大数据、云计算等新型信息技术快速发展的背景下,未来气温网格预报需要吸纳更加多源的前沿研究成果,充分挖掘数值模式内在预报信息,使得预报向更加智慧化方向迈进。
关键词:网格预报,数值模式,检验评估,客观订正DOI:10.3969/j.issn.2095-1973.2023.06.002Research Progress on Objective Verification and Correction Methods for Grid Temperature ForecastLiu Jiahuimin 1, 2, Pan Liujie 1, 2, Dai Changming 1, 2, Hu Qiyuan 1, 2, He Lin 3, Yan Ruotong 4(1 Shaanxi Meteorological Observatory, Xi’an 710014; 2 Key Laboratory of Eco-Environment and Meteorology for the Qinling Mountains and Loess Plateau, Xi’an 710044; 3 Shaanxi Meteorological Information Center, Xi’an 710014;4 College of Atmospheric Sciences, Chengdu University of Information Technology, Chengdu 610225)Abstract: High-resolution intelligent grid forecast has become the main operational work and the development direction of future weather forecast since China Meteorological Administration launched the seamless fine grid weather forecast service in 2014. To date, with the rapid development of numerical model statistical post-processing technology, the quality of grid temperature forecast has been steadily improved. On the basis of summarizing the existing fine-scale testing and evaluation methods for grid temperature forecast, this paper systematically sorts out the latest progress of numerical model interpretation techniques, such as single model correction, multi-model integrated interpretation and big data artificial intelligence, in the field of objective correction of grid temperature forecast. The advantages and disadvantages of different methods in the field of grid temperature forecast are elucidated. In the context of the current rapid development of new information technologies such as artificial intelligence, big data, and cloud computing, grid temperature forecast needs to harness more cutting-edge research results from multiple sources, and fully utilize the inherent forecast information of numerical models for a smarter forecast in the future.Keywords: gridded forecasting, numerical model, verification and evaluation, objective correction0 引言近年来极端气温事件频发而引起的高温热浪、霜冻、寒潮等灾害性天气对社会经济发展的影响和威胁正引起各国政府的关注。
A Ten-year Review of Granular ComputingJingTao YaoDepartment of Computer Science,University of Regina Regina,Saskatchewan,Canada S4S0A2email:jtyao@cs.uregina.caAbstractThe year2007marks the10th anniversary of the intro-duction of granular computing research.We have experi-enced the emergence and growth of granular computing re-search in the past ten years.It is essential to explore and re-view the progress made in thefield of granular computing. We use two popular databases,ISI’s Web of Science and IEEE Digital Library to conduct our research.We study the current status,the trends and the future direction of granu-lar computing and identify prolific authors,impact authors, and the most impact papers in the past decade.1IntroductionThe concept of granular computing was initially called information granularity or information granulation related to the research of fuzzy sets in Zadeh’s early papers[19,20, 21].To the best of our knowledge,the term granular com-putingfirst appeared in literature in1997[21]as follows,“a subset of computing with words is granular computing.”Later in his1998paper,Zadeh had a footnote stating that “[t]he label‘granular computing’was suggested by Profes-sor T.Y.Lin”[22].Therefore,we may consider1997as the birth year of granular computing.This year(2007)is the 10th anniversary of the introduction of granular computing research.Granular computing has been gaining popular in the past ten years[3,14,15,17,23].The annual IEEE Confer-ences on Granular Computing attracted many research pa-pers[10,24].It is essential to examine and review the de-velopment on granular computing.The goal of this study is to analyze and summarize ten years’research on granular computing.It is hoped that the granular computing commu-nity will benefit from this research.We mainly use two popular databases,ISI’s Web of Sci-ence and IEEE Digital Library to conduct our research.We will identify prolific authors,impact authors,and the most impact papers in the past ten years.The current status,the trend and the future direction of granular computing could be identified based on the results.2Granular ComputingWe briefly describe the basic concept of granular com-puting in this section.Granular computing is often defined as an umbrella term to cover any theories,methodologies,techniques,and tools that make use of granules in complex problem solv-ing[14,16].Granular computing is a new term for the problem solving paradigm and may be viewed more on a philisophical rather than technical level[14].Zadeh consid-ers granular computing as a basis for computing with words, i.e.,computation with information described in natural lan-guage[21,23].Yao views granular computing as a trian-gle:structured thinking in the philosophical perspective, structured problem solving in the methodological perspec-tive and structured information processing in the computa-tional perspective[17,18].Bargiella and Pedrycz empha-size essential features of granular computing:the semanti-cal transformation of data in the process of granulation and the non-computational verification of information abstrac-tions[3].The basic ingredients of granular computing are granules such as subsets,classes,objects,clusters,and elements of a universe.These granules are composed offiner granules that are drawn together by distinguishability,similarity and functionality[21].Based on complexity,abstract and size, granules can be measured in different levels.The problem domain,i.e.,the universe,is the highest and coarsest gran-ule.Granules at the lowest level are composed of elements or basic particles of the particular model that is used.If we take the current article as a granule,thefinest granules would be the words or letters.One of the key issues in granular computing for problem solving is granulation.A broad view of granulation could be easy to understand and manageable for granular comput-ing research and applications[14].Granulation involves the process of two directions in problem solving:construction and decomposition.The construction involves the process of forming a larger and higher level granule with smaller and lower level sub-granules.The decomposition involves the process of dividing a larger granule into smaller andProceedings of 2007 IEEE International Conference on Granular Computing, Silicon Valley, USA, Nov 2-5, 2007, pp734-739lower level granules.The former is a bottom-up process and the latter a top-down process.In order to conduct granulation,one has to understand the relationships amongst granules[14].There are two types of relationships:interrelationship and intrarelation-ship.Decomposition concerns breaking down a larger gran-ule into smaller granules from which a larger granule can still be formed with construction.Construction concerns grouping smaller granules that share similarity,indistin-guishability,and functionality to a larger granule.The rela-tionship involved in the former type of granulation is con-sidered as an intrarelationship,the later an interrelationship.One of the basic and fundamental relationships is simi-larity.It is a key to forming an intrarelationship of a granule. Furthermore,it can be used to measure closeness amongst granules.It can also be used to measure thefineness or coarseness of a granule.Refinement and coarsening are an-other type of relationships.A granule o1is defined as a refinement of another granule o2,or equivalently,o2is a coarsening of o1,if every sub-granule or object of o1is con-tained in some sub-granules of o2.Partitions and coverings are two simple and commonly used granulations of a uni-verse[15].A partition of a universe is a collection of its non-empty and pairwise disjoint subsets whose union is the universe.It forms a covering if disjoint is not a condition. The subsets are called covering granules in a covering,and partition granules in a partition.3Methodology and DatabasesMuch research has been done in identifying research areas,trends,relationships,development and future direc-tion[5,12,13].One of representatives of such research is scientometrics which is the science that measures and ana-lyzes science.Identification of research areas is a key theme of this area[12].We gain more understanding of a research domain by examining its publications.Studies of this type have been ongoing for decades.For instance,Crane used a logistic curve of publication numbers to describe the growth of research areas[6].Goffman proposed an epidemic model to predict the growth of research areas[9].Research impact could be measured by citations.It is suggested that a highly cited paper will have more impact than moderate cited papers.This gives a simple although ar-guable way to measure the quality and impact of research.A study shows that of the50most-cited chemists,seven have been awarded the Noble Prize[8].In other words,the citation index may be used to predict Noble Prize winners. According to a recent research,citation counts of the publi-cations corresponded well with authors’own assessments of scientific contribution[1].By analyzing citations,one may predict research influences[7].Citation is also used as a bibliometric indicator to predict research development[12]. It is suggested that the more recent or current highly cited papers in a researchfield,the more likely thefield will grow rapidly in the near future.We will examine granular computing research by explor-ing two main resources in this study:Institute for Scientific Information’s(ISI)Web of Science and IEEE’s Digital Li-brary.Web of Science(/wos)is one of ISI’s key products in the information age.It features ex-tended functions of ISI’s early products Current Content, which collects bibliographic information of research arti-cles of high quality journals selected by ISI.These citation indexes collect not only bibliographic information but also the information of citation relationship amongst research articles.ISI also indexed Lecture Notes in Computer Sci-ence(LNCS)as well as Lecture Notes in Artificial Intel-ligence(LNAI)series for a short period of time.LNCS and LNAI are mainly a collection of conference proceed-ings.Many computer science-related conferences publish their proceedings through the LNCS/LNAI series.The IEEE Digital Library() contains more than120IEEE journals,magazines,trans-actions and letters,together with more than600IEEE con-ference proceeding titles dated from1988.It has a robust search function including full-text search.However,it does not function with citation information thus we only use it for publication count.4Search,Research and Results Analysis4.1Web of ScienceWe started with Web of Science to locate granular com-puting papers that are indexed by ISI.ISI updates its database on a weekly base.The data was collected during the week of April27to May5,2007.The latest available data was on April29,2007.Two basic measures,number of papers and number of citations,are used for popularity and influence of granular computing research.A granular computing paper is defined as a paper con-taining granular computing related terms,for instance,“granular computing”,“information granularity”,“infor-mation granulation”or“granular computation”.We used the Topicfield in Web of Science which is defined as the words or phrases within article titles,keywords,or ab-stracts.Results of queries with Topic as“granular computing”,“information granularity”,“information granulation”,and “granular computation”are shown in Table1.The All col-umn represents the number of granular computing papers with either of the terms,in particular,we use the Or func-tion.We can see clearly the popular trend of research of gran-ular computing by looking at the All column.One thing that needs to be addressed here is that there are100pa-pers using the term granular computing,while about equalTable1.Number of Papers Each Year(WoS)Granular Information Information Granular Year All computing granulation granularity computation 199751419981999104252000954120011389200218986200319146220042821122 20052817131200633191611 20075322Total16810073223 number of papers adopt non-granular-computing terms.In addition,people who adopt the term“granular computing”used different abbreviations.At least four abbreviations, namely,GrC,Grc,GC,and Gc appeared in the literature. It is suggested that a consistent terminology may help pro-mote this domain of study.We suggest to standardize the term of granular computing and use GrC as its abbreviation.Table2.Most Prolific Authors(WoS)Name Papers Name Papers Name Papers Pedrycz W45Vukovich G7Hirota K4 Oh SK13Bortolan G5Shi ZZ4 Skowron A12Liu Q5Synak P4 Ahn TC10Pal SK5Zhang WX4 Lin TY9Park KJ5Zhang YQ4 Yao YY8Peters JF5Zhong N4 Bargiela A7Stepaniuk J5Zhu W4 Park HS7Tsumoto S5It is notable that granular computing research started booming in1999based on the results in Table1.In fact, three of top cited papers by Pedrycz and his collaborators (listed in a later part of this article)were published in1999.Web of Science provides a search feature for author and their affiliations.The results are presented in Tables2to5. Table2lists the most prolific authors in granular comput-ing in terms of the number of granular computing papers published.The23authors listed here published at least 4granular computing papers.Pedryzy(co)authored about one third of granular computing papers per our definition in this study.There are more than130authors recorded in the Web of Science database.Top10countries or territories where authors are located are listed in Table3.It can be easily observed why Canada is at the top as Pedrycz,Yao and Vukovich reside in Canada. Skowron is from Poland,and Liu,Shi,and Zhang are from China.The top institutions of the authors affiliated are listed in Table4.Pedrycz is co-affiliated with the University of Alberta and Polish Academy of Sciences.Ahn and Park are with Wonkwang University,South Korea.Table3.Top Countries and Territories(WoS)Countries/Territories PapersCanada62Poland55China28USA26South Korea19Japan11Italy11Taiwan9England7India5Table4.Top Institutions(WoS)Institutions PapersUniversity of Alberta42Polish Academy of Sciences33Wonkwang University15University of Suwon11University of Regina10Warsaw University10Chinese Academy of Sciences9University of Manitoba9Canadian Space Agency8San Jose State University8Nottingham Trent University7Georgia State University6Polish Japanese Institute of Information Technology6Xian Jiaotong University6Table5.Top Journals(WoS)Journal Names Papers Information Sciences11IEEE Transactions on Systems,Man and Cybernetics10Fuzzy Sets and Systems9International Journal of Intelligent Systems7Transactions on Rough Sets5Fundamenta Informaticae5IEEE Transactions on Fuzzy Systems4Soft Computing4International Journal of Approximate Reasoning3International Journal of Uncertainty Fuzzinessand Knowledge-Based Systems3 Total61Journals that publish the most granular computing pa-pers are shown in Table5.There are another28jour-nals published for34papers.The remaining papers are published on Spinger’s LNCS and LNAI including13pa-pers from proceedings of the International Conference on Rough Sets,Fuzzy Sets,Data Mining,and Granular Com-puting(RSFDGrC),13from the International Conference on Rough Sets and Current Trends in Computing(RSCTC), and9from the International Conference on Rough Sets and Knowledge Technology(RSKT).Thefirst two conferences are official events organized by the International Rough Set Society(IRSS)and the third one is an IRSS-sponsored con-ference[11].This may indicate the close relationship be-tween rough set research and granular computing research.Table6.Citation Each Year(WoS)Year1998199920002001200220032004200520062007Total Average Citations3715334376991201693960454.91 All Papers551524375574102130163Citation per paper0.60 1.67 1.00 1.38 1.16 1.38 1.34 1.18 1.300.24The second analysis based on Web of Science database is citation analysis.There are604citations of168granular computing papers.The average citations is3.60per paper. Table6shows the number of citations each year.Similar to the trend we found in Table1,the citations are also grow-ing every year,from3in1998to169in2006.Please note that thefigure showed here also includes citations from non-granular computing papers as per our definition.An exam-ple is that there were no granular computing papers in1998 as we can see in Table1.However,there were three counts of citations in1998.The citation per year is calculated by the number of citations divided by the number of accumu-lated papers(All papers).We do not observe any trend for citation per year.In order to understand more on granular computing re-search,we also identify some top cited papers as follows. The numbers in brackets are total citations and average ci-tations per year.1.Zadeh LA,Toward a theory of fuzzy information granulation andits centrality in human reasoning and fuzzy logic,Fuzzy Sets and Systems,90(2),111-127,1997.(160,14.55)2.Greco S,Matarazzo B,Slowinski R,Rough sets theory for multicri-teria decision analysis,European Journal of Operational Research, 129(1),1-47,2001.(65,9.29)3.Skowron A,Stepaniuk J,Information granules:Towards founda-tions of granular computing,International Journal of Intelligent Sys-tems,16(1),57-85,2001(26,3.71)4.Pedrycz W,Vasilakos A V,Linguistic models and linguistic model-ing,IEEE Transactions on Systems,Man and Cybernetics Part B-Cybernetics,29(6),745-757,1999.(23,2.56)5.Yao YY,Information granulation and rough set approximation,In-ternational Journal of Intelligent Systems,16(1),87-104,2001.(18,2.57)6.Pedrycz W,Fuzzy equalization in the construction of fuzzy sets,Fuzzy Sets and Systems119(2),329-335,2001.(17,2.43)7.Hirota K,Pedrycz W,Fuzzy computing for data mining,Proceed-ings of the IEEE,87(9),1575-1600,1999.(17,1.89)8.Peters JF,Skowron A,Synak P,Ramanna S,Rough sets and infor-mation granulation,Lecture Notes In Artificial Intelligence,2715, 370-377,2003.(16,3.20)9.Greco S,Matarazzo B,Slowinski R,Extension of the rough set ap-proach to multicriteria decision support,INFOR,38(3),161-195, 2000.(13,1.62)10.Hirota K,Pedrycz W,Fuzzy relational compression,IEEE Transac-tions on Systems,Man and Cybernetics Part B-Cybernetics,29(3), 407-415,1999.(131.44)11.Slowinski R,Greco S,Matarazzo B,Rough set analysis ofpreference-ordered data,Lecture Notes In Artificial Intelligence, 2475,44-59,2002.(12,3.00)12.Hata Y,Kobashi S,Hirano S,Kitagaki H,Mori E,Automated seg-mentation of human brain MR images aided by fuzzy information granulation and fuzzy inference,IEEE Transactions on Systems, Man and Cybernetics Part C-Applications and Reviews,30(3),381-395,2000.(12,1.50)13.Pedrycz W,Bargiela A,Granular clustering:A granular signatureof data,IEEE Transactions on Systems,Man and Cybernetics Part B-Cybernetics,32(2),212-224,2002.(10,1.67)14.Pal SK,Mitra P,Case generation using rough sets with fuzzy repre-sentation,IEEE Transactions on Knowledge and Data Engineering, 16(3),292-300,2004.(9,2.25)15.Yao YY,Probabilistic approaches to rough sets,Expert Systems20(5),287-297,2003.(9,1.80)It is interesting to observe that the total citation ranking is generally consistent with the average citation per year with a few exceptions,e.g.Peters2003and Slowinski2002.Ta-ble7reveals the ranking of these top papers by total citation and citation per year.Table7.Rank of Top Cited Papers(WoS)Total Citation Citation Per Year 1Zadeh19971Zadeh19972Creco et al.20012Creco et al.20013Skowron et al.20013Skowron et al.20014Pedrycz et al.19994Peters et al.20035Yao20015Slowinski et al.20026Pedrycz et al.20016Yao20017Hirota et al.19997Pedrycz et al.19998Peters et al.20038Pedrycz et al.20019Greco et al.20009Pal et al.200410Hirota et al.199910Hirota et al.199911Slowinski et al.200211Yao200312Hata et al.200012Pedrycz et al.200213Pedrycz et al.200213Greco et al.200014Pal et al.200414Hata et al.200015Yao200315Hirota et al.1999According to Web of Science,80of168papers were cited at least once by other researchers.In other words,half of granular computing publications have some level of re-search impact.There were604citations in total.However, almost half of the citations are from the top5papers.To be exact,the top5papers count for292citations.We identify the most influence authors in the next step. As the Web of Science does not facilitate author citation count of selected papers.We manually count81granular computing papers that have at least one citation.Table8 lists the most impact authors whose granular computing pa-pers received citations more than10times.Zadeh published one granular computing paper with citation count as160. Pedrycz has four highly cited papers with total citation nu-mer as80.Together with his other papers,his total cita-tion number is130.Accordingly,Zadeh was identified as a Highly Cited Researcher in Computer Science and Pedrycz in Engineering by .Table8.Impact Authors(WoS)Name Cites Name Cites Name Cites Zadeh LA160Synak P31Kobashi S14 Pedrycz W130Peters JF26Hirano S12 Greco S90Vasilakos A V23Kitagaki H10 Matarazzo B90Ramanna S22Mitra P10 Slowinski R90Bortolan G17Mori E10 Skowron A78Vukovich G17Pal SK10 Stepaniuk J41Lin TY15Zhang YQ10 Yao YY37Bargiela A14Zhong N10 Hirota K32Hata Y144.2IEEE Digital LibraryWe mainly conducted granular computing paper count for IEEE Digital Library.The search to All Fields of IEEE Digital Library was conducted in early May,2007.The re-sults are shown in Table9.The“All Field”of IEEE Digital Library stands for Full text,Document title,Author,Pub-lication title,Abstract,Index theme,and Affiliation.It is obvious that the terms we used will not appeare in thefields of author and affiliation.The Document title is the same as Article titles in Web of Science.The trickyfield is Publication Title which includes con-ference titles.As a result,all papers included in the pro-ceedings of IEEE International Conferences on Granular Computing(IEEE GrC)are retrieved.However,not all pa-pers published in these proceedings are granular computing papers based on the criteria we used in selecting papers in Web of Science database.It is observed that there are157 IEEE GrC’05and180IEEE GrC’06papers collected in the IEEE Digital Library.The number in Table9with brack-ets is the number of granular computing papers that are not from IEEE GrC proceedings.The IEEE Digital Library treats research papers and other types of publications equally.For example,our query results contain several announcement of special issues on granular computing that appeared in IEEE Computational Intelligence Society journals.Prefaces,indexes,and even breaks of the proceedings of IEEE GrC were also appeared in our research results.We excluded these items.With these considerations and explanation,we may con-clude that the criteria we used in searching the IEEE Digital Library are very similar to the search of Web of Science. Due to the different scopes of collections between Web of Science and IEEE Digital Library,the results are not very consistent.The former collects mainly journal articles with an exception of the LNCS/LNAI,the latter collects many conference proceedings.We cannot easily identify a clear trend for granular computing papers as we do in the previ-ous section.Other than some IEEE transactions,the major-ity of collections of the IEEE Digital Library are IEEE con-ference proceedings.It is noted that granular computing pa-pers are scattered in different IEEE conference proceedings.Quite often,granular computing papers were published as special session papers to conferences.This would make the numberfluctuate from year to year.Table9.Number of Papers Each Year(IEEE)Granular Information Information Granular Year All computing granulation granularity computation 19962219978441998321999651220001265220011910102200214124200311462200485212 2005172(15)169(12)632006207(27)201(21)7200733Total465(135)415(135)49162It is interesting to know that there are a number of gran-ular computing papers in the early year.This reflects the fact of the long publication cycle for journal papers.New ideas are normally published in conference proceedings.It is clear to see that we have a larger number of granular com-puting paper due to the launch of the IEEE International Conference on Granular Computing in2005.The IEEE Digital Library does not provide a search feature tofind or count granular computing papers within the IEEE GrC proceedings as per our definition.We thus cannot get the actual number of granular computing publications in2005 and2006.We will conduct a detailed study for IEEE GrC proceedings in the future.4.3Research Trends and InteractionFigure1shows the growth of granular computing pub-lications in terms of cumulative numbers.The label WoS stands for the cumulative number of papers published each year in ISI selected journals and proceedings.IEEE rep-resents cumulative paper numbers on IEEE’s publications. All is the total publications in IEEE Digital Library and Web of Science(We did only a simple addition but did not con-sider redundant counts).We can see from Figure1that all three lines are close to linear,i.e.the granular computing publications has a linear growth rate.Scientific growth is a diffusion process[6].It is sug-gested that this happened when members of a research area has less interaction with each other and with scientists who are not in the area[6].In the areas where researchers are aware of each other’s existence,and mutual influence and communication occurred,the curve of cumulative growth of publications and of authors entering thefield follows a logistic pattern[6].Ourfindings of most impact papers con-firm this.By examining the titles,we mayfind that all gran-ular computing papers are fuzzy sets and rough sets related050100150200250300199619982000200220042006C u m u l a t i v e n u m b e r o f p u b l i c a t i o n sYearWoS All IEEEFigure 1.Publication Growth and Trends except for papers 3,4and 13.With a detailed examina-tion of the remaining three papers,we found that paper 3is rough sets and papers 4and 13are fuzzy sets related.We may conclude that the most influential papers are fuzzy sets and rough sets related.In other words,the granular com-puting community has a lesser relationship and minimal in-teraction with other research communities.5Concluding RemarksWe have reported trends and development for research on granular computing during the past ten years by examin-ing two popular databases.Prolific authors,impact authors,as well as most impact papers were identified.It is sug-gested that a unified term of granular computing should be used in order for researchers to locate granular papers easily from research databases.It is observed that the growth of granular computing is in a healthy manner.However,there is evidence showing that the granular computing commu-nity has less interaction with other research communities other than fuzzy 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