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Axial transport and residence time of MSW in rotary kilns Part I. Experimental

Axial transport and residence time of MSW in rotary kilns Part I. Experimental
Axial transport and residence time of MSW in rotary kilns Part I. Experimental

Axial transport and residence time of MSW in rotary kilns

Part I.Experimental

S.-Q.Li a,b,*,J.-H.Yan a ,R.-D.Li a ,Y .Chi a ,K.-F.Cen a

a Department of Energy Engineering,Zhejiang University,Hangzhou 310027,PR China b

Department of Thermal Engineering,Tshinghua University,Beijing,100084,PR China

Received 17October 2000;received in revised form 28December 2001;accepted 31December 2001

Abstract

Experiments on the influences of operational variables on the axial transport of both heterogeneous municipal solid waste (MSW)and homogenous sand are conducted in a continuous lab-scale rotary kiln cold https://www.doczj.com/doc/308288795.html,pared with sand,the residence time of MSW has a relatively large discrepancy with the ideal normal distribution due to the trajectory segregation of MSW components.The residence time at different axial zone is quite different due to the varied bed depth profile along the kiln length.MSW has a longer mean residence time (MRT)and a lower material volumetric flow (MVF)than sand because of the higher h d than sand.The increment of both rotating speed and kiln slope reduces MRT,and increases MVF.Exit dam has a significant impact on the MRT and the influence of internal structure group consisting of various axial ribs and circular ribs is mainly determined by the height of circular ribs.Inside wall roughness also has effect on MRT through changing the bed regimes.For a case with the certain inlet and exit bed depths,the product of MRT and MVF holds at a constant within the limits of experimental errors in spite of the changing experimental variables.D 2002Published by Elsevier Science B.V .

Keywords:Rotary kiln;MSW;Axial transport;Mean residence time;Material volumetric flow

1.Introduction

Rotary kilns have been widely employed in chemical and metallurgical industries as heterogeneous noncatalytic gas–solid reactors.The typical applications include drying or heating of wet solids,mixing or grinding of powders,calcining of limestone,clinkering of cementitious materials,reducing of iron ore or ilmenite,etc.[1–3].Rotary kilns continue to find new applications in such gas–solid reac-tions,despite challenges from newer and more specialized reactors such as fluidized bed and spouted bed.

In recent years,rotary kilns have played an important role in the thermochemical treatment of municipal solid wastes (MSW).Rotary kiln system is one of the most promising incineration processes since it can simultane-ously treat wastes as liquids or solids of various shapes and sizes and easily achieve the flexible adjustment by altering kiln inclination,rotational speed,etc.Rotary kiln as a primary gasification chamber,followed by a secon-dary combustion chamber,can fulfil the complete destruc-tion and detoxification of hazardous wastes,meanwhile minimize emissions of dioxins and heavy mental.All these unique features enable rotary kiln irreplaceable in MSW incineration.‘Siemens Schwelbrenn’,‘Noell Conversion’and ‘Westinghouse O’Connor’processes are updated rep-resentatives of rotary kiln incinerators [4,5].

Pyrolysis,on the other hand,is an attractive alternative to incineration as a waste treatment option with respect to minimum environmental emissions and maximum resource recovery [6,7].Rotary kiln pyrolyser also has many unique advantages over other types of reactors.For instance,slow rotation of inclined kiln enables the well mixing of wastes,thereby the more uniform pyrolytic products.Also,the flexible adjustment of residence time can make pyrolysis reaction perform at a perfectly optimum condition conven-iently.With a view to different resource recovery option,rotary kiln can be properly designed to yield mainly the synthesis gas,e.g.,‘Landgard’Process [8],or to make the high calorific tars as well as porous carbon black,e.g.,‘Kobe Steel’Process [9].

Mean residence time (MRT)of solids through rotary kiln is one of the most important parameters,which not only directly influences mass and heat transfer,but also deter-

0032-5910/02/$-see front matter D 2002Published by Elsevier Science B.V .PII:S 0032-5910(02)00014-1

*

Corresponding author.Tel.:+86-10-62782108.E-mail address:lishuiqing@https://www.doczj.com/doc/308288795.html, (S.-Q.Li).

https://www.doczj.com/doc/308288795.html,/locate/powtec

Powder Technology 126(2002)217–

227

mines chemical reaction degree of gas and solid phase.In order to optimize the design and operation of rotary kiln,it is necessary to develop the simplified empirical expressions to enable the proper predicting of the volumetric flow of material(MVF)as well as MRT.Sullivan et al.[10] originally conducted the experimental research on the sol-ids’MRT in rotary cylindrical kiln and derived the empirical equation of MRT correlating various operational variables, kiln geometry parameters and material properties.Subse-quently,Va`hl and Kingma[11]and Kramers and Kroock-ewit[12]made further experiments on the holdup as well as MRT in a horizontal or inclined cylinder,respectively.The effect of internal structures is one of remarkable research community.Chatterjee et al.[13]studied the effect of ring formation,Matchett and Sheikh[14]studied the effect of both number and angle of axial flight,and Rutgers[15] considered the influences of shapes of kiln entrance and exit end faces.Furthermore,the residence time distribution (RTD)in rotary drums were researched by Abouzeid and Fuerstenau[16]and Sai et al.[17]adopting tracer stimulus-response techniques,or by Wes et al.[18]using atomic absorption spectroscopy methods.In addition,as the prac-tical field-scale rotary kiln was concerned,Groen et al.[19] performed corresponding investigations in a high-temper-ature kiln,while Schofield and Glikin[20]studied them in an intensive gas-flow fleeting kiln.

More recently,Wightman and Muzzio[21]emphasized that a research community focusing on the segregation of multimixed particles in rotary cylinder.Donald and Rosse-man[22]firstly performed experimental studies in a hori-zontal system and identified three patterns of segregation: radial,axial and end longitudinal.Gupta et al.[23]described qualitative mechanisms of axial segregation,stating that a difference in the dynamic reposing angles of two pure components is a necessary(though not sufficient)condition of band formation.Nakagawa et al.[24]recently employed magnetic resonance imaging to study axial segregation. Boateng and Barr[25]and Bridgewater et al.[26]studied the mechanism of radial segregation,respectively.

However,previous researches on axial transport in rotary kilns are mostly concentrated on the studies of small cementitious and metallurgical particles,which are rela-tively homogeneous in nature.Although rotary kilns have been extensively used as reactors for MSW incineration or pyrolysis,so far,there have been few attempts on extrap-olating the experiences and correlation developed from homogeneous materials to heterogeneous MSW.In this part,comparative studies are conducted between homoge-neous sand and irregular MSW in a rotary kiln cold simulator(I.D.0.3?1.8m).Impacts of material character-istics(in terms of the dynamical angle of repose),kiln geometry characteristics(i.e.,roughness of kiln wall,exit-end dam and internal structures)and operational parame-ters(i.e.,kiln inclination and rotational speed)on both MRT and MVF are examined.Simplified formulas of MRT and MVF are proposed on the basis of the experiment results in Part II of this work.

2.Experimental

2.1.Setup

A cold simulator of rotary kiln,0.3mm in diameter and

1.8mm in length,shown schematically in Fig.1,was employed for the experiments.The cylinder was made of plexiglass so that the solid motion can be viewed.The rotational speed is variable within the range of0.5–10rpm (revolution per minute).The angle of kiln inclination can be easily adjusted between0j and5j by altering the height of the supporter at kiln inlet end.The feed rate of materials was adjusted to a certain amount that keeps the inlet depth of the solids on a desired value during each run.That is,the inlet depth of solid bed responds to the feed rate of materials, which is practically equal to the flow rate of materials under the steady state,one to one,under the same operational conditions.Therefore,the inlet bed depth instead of material feed rate were selected as one of the operating parameters, which was kept at70mm in all runs.

In order to study the impact of internal structures on solid material motion,axial ribs and circular ribs were specially designed,as shown in Fig.2.The grouped types

and Fig.1.Schematic of rotary kiln cold simulator((1)Funnel,(2)Belt conveyor,(3)Tracer addition point,(4)Feed chute,(5)Rotary cylinder,(6)Position plate,(7)Belt wheel,(8)Position wheel,(9)Jockey wheel,(10)Slope angle adjustor,(11)Supportor,(12)Varible motor,(13)Exit chute,(14)Sample collector).

S.-Q.Li et al./Powder Technology126(2002)217–227

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geometric factors of the different kinds of axial ribs and circular ribs are listed in Table1.

2.2.Materials

Two categories of materials were employed for experi-ments.One was reconstituted MSW consisting of49.9wt.% wood chips,17.0wt.%paper plates and33.1wt.%waste tyres.The mixture has irregular shape,size and heteroge-neous property.Also,homogeneous sand was used as another category for a contrast,which has higher density, regular shape and similar size.The physical properties of both kinds of materials are given in Table2.

As was reported in earlier literatures[11–20],the bulk characteristics of solids in terms of the dynamic angle of repose,h d,exert significant influences on the transport and mixing of the solids in the kiln.Here h d is measured according to the Rotating Drum-Method(Henein et al.

[27]).This measurement is done under one of the most general bed rotation cases of the kiln,rolling regime,and it can reflect the real dynamical bulk characteristics of solids in kiln.For all h d measuring of various materials,the kiln rotates at4rpm and fill ratio of solids in the kiln is about 15%–20%.h d of sand is about29.7j while that of MSW mixture is48.5j.

In order to study the influence of wall roughness on MRT and MVF,the inside kiln wall are covered by the finer or coarser emery cloths.The wall friction factor of solids is defined as the tangent function of the wall friction angle.The latter is measured by a special shear-plate-analyzer with an easy adjusting shear angle.A plate,which has the same roughness with the tested wall,is fixed on the adjustable shear plate.A layer of tested solids is laid on the plate.Then,the plate is gradually tilted until the solids begin to fall along it.At that time,the slope of the plate with respect to the horizontal line is just the wall friction angle of solids.As shown in Table2,compared to the smooth inside wall,the friction coefficient,f,increased dramatically(69–243%)with finer emery cloth setting. However,f increased only about6–25%from the finer emery cloth to the coarser one.2.3.Experimental methods

To determine MRT and MVF,the system must be adjusted to achieve the steady state,which is reached when the output of materials is equal to the feed rate of materials. The steady-state flow rate of materials,volumetric or molar, was measured by collecting sample successively within a certain time and quantifying it.As is widely known,the residence time of solids through rotary kiln is not a constant, but a probability distribution.Hence,the mean and variance of residence time are experimentally obtained by the stim-ulus-response techniques of tracers.Generally,the method for RTD measurement of MSW is hardly available in current literatures,though that of homogeneous sand has been described in detail[16–18].In this work,experiments were taken by introducing the dyed tracers consisting of9wood chips,15paper plates and36waste tyres.The ratios of three kinds of tracers are47.9,16.9and35.2wt.%,which are quite similar to those of original mixed wastes(i.e.,49.9 wt.%wood chips,17.0wt.%papers and33.1wt.%tyres).In fact,it is difficult to feed all tracers to kiln inlet end at the same time.Also,it is infeasible to label every tracer and measure its time one by one in such a short time interval. Thus,all tracers are divided into three groups and dyed red, white and yellow(each of which consists of3wood chips,5 papers and12tyres).As the steady state is reached,three groups of tracers are successively fed to the kiln inlet and the corresponding inlet time for each group is recorded.At the kiln outlet,they were collected after a certain time interval,until all tracers finished their excursion through the kiln.Meanwhile,the residence time of tracers in each sample interval was recorded(here,the inlet-time differ-ences of three group were taken into account).The mean and variance of residence time of the tracers are expressed below:

MRT c

X I

i?1

t i EeD t iT;e1Tr2c

X I

i?1

et iàMRTT2EeD t iT;e2TTable1

The grouped types and geometric factors of internal structures

Group No.Axial ribs Circular ribs

Number Height

(mm)

Number Height

(mm) Exit dam1––130 Exit dam2––150

12b-4n1220430

12b-7n1220730

12n-4n1210430

12b-4b12204

50 Fig.2.Schematic of internal structures((1)Cylinder,(2)Circular ribs,(3)

Longitudinal ribs).

S.-Q.Li et al./Powder Technology126(2002)217–227219

where I is the sequence of sampling interval,D t i is the interval of the i st sampling interval,and t i is the retention time of tracers in the i st interval.E (D t i )can be expressed as the ratio of the number of tracers in i st sampling interval to that of the total tracers,i.e.:E eD t i T?N eD t i T=

X I i ?1

N eD t i T:e3T

Usually,the relative variance is used to express the

dispersing extent of RTDs,which satisfies the relation:r 2r ?r 2=MRT 2:

e4T

3.Results and discussions

Table 3summarizes the detailed experimental results for MRT (together with r and r r )and MVF of the MSW in rotary kiln simulator with various rotating speeds,kiln slopes,exit-end dams,internal structures and walls of different roughness.In the following sections,the effect of each variable both on MRT and MVF will be discussed accordingly.

3.1.Residence time distribution of MSW and sand The previous studies on residence time of solids in rotary kiln are scarcely concentrated on the heterogeneous MSW,but on the homogeneous particles instead.For instance,Abouzeid and Fuerstenau [16]concluded that residence time of dolomites in rotary kiln is approximately subjected to a normal distribution by employing the axial dispersion model.The comparison between experimental results and theoretical calculation for RTD of both sand and MSW are shown in Figs.3and 4,respectively.As for sand,the probability of tracers by experiment in each sample interval (D t i )fits well with the theoretical normal distribution function.However,it is noted that,for MSW,there exists a relatively large discrepancy between exper-imental value and theoretical curve,other than r r 2of MSW is much larger than that of sand under the same

condition.It can be explained that,as tracers consist of three components with various shapes,sizes and densities,the variance in residence time would arise from axial segregation instead of axial mixing (particle collision).In fact,the axial segregation causes the deviation of meas-ured RTD from the normal distribution (this view will be further verified in Part II of this work).In addition,the alternate band formation of the various components (i.e.,the visible axial segregation)that has been studied and emphasized in a batch kiln system by some investigators [21–24]does not occur in this experiment.According to Donald and Rosseman [22],the alternate band formation in batch system may not arise in continuous system where the length of system is not adequate for particles to demix.Gupta et al.[23]stated that a difference in h d of all pure components at a particular rotation speed is one of the necessary (though not sufficient)conditions of band formation.From Table 2,the h d difference among three components of MSW is not significant.The rotating speed is only an order of magnitude smaller than that in the study of Gupta et al.Thus,it is induced that the axial segregation of MSW in kiln won’t be violent enough to form alternate bands,especially for such a system with a limited ratio of length to diameter (L /D =6).

The detailed r and r r of RTD of MSW under various rotating speeds,kiln slopes,exit-end dams,internal struc-tures and wall roughness are given in Table 3.Much valuable information can be obtained as follows.(1)Increasing rotating speed or kiln slope leads to relatively slight increment of r ,while r r varies or keeps in a narrow range from 0.02to 0.05.(2)The usage of exit dam can also increases r or r r ;but the impact on variance is less appreciable than that on MRT.(3)Employment of internal structures promotes both r and r r remarkably by one order of magnitude (e.g.,r r from range [0.02,0.05]to range [0.2,0.4]).However,it must be stated that the measuring error of RTD’s r and r r is quite high due to the segregation of MSW properties.Meanwhile,the measuring precision of both MRT and MVF can doubtlessly reach an expected level because of their statistical averaged characteristics.Therefore,more attention is paid to discussions on MRT/MVF rather than r /r r in the following paper.

Table 2

Summary of properties,bulk characteristic and wall friction factors of materials Materials Shapes Bulk density (kg/m 3)True density (kg/m 3)Sizes (mm)h d (j )f 1f 2f 3**Wood chips Cylindrical 371.5646.0U 25?3047.30.5250.9020.941Paper plates Tabulate 104.5691.730?30?351.90.563 1.930 2.331Waste tyre Arcuate 278.71020.010?5?3052.90.4210.941 1.102Mixed MSW *–

225777.6–

48.50.480 1.003 1.251Sand

Nodular

1342

2660

1.0–

2.0

29.7

0.407

0.724

0.768

*Mixed MSW consist 49.9wt.%woods,17.0wt.%papers and 33.1wt.%tyres.

**f 1,f 2,f 3are wall friction factor of solids with none,finer and coarser emery cloth setting on inside wall.

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220

3.2.Axial velocity distribution along kiln length

For end-open system,as the bed depth and the fill ratio of solids in cross-section are different at the different axial position,the axial cascading velocity of solids is not constant along the kiln axis.That is,the residence time in different zone along kiln length is quite different.Figs. 5and6give the axial velocity of sand and MSW under different axial points,respectively.It can be seen that the axial velocity of particles increases along the axial direc-tion.It is due to the decrement of the bed depth or the fill ratio along the kiln axis.Thus,according to the mass conservation theory,d(q uA)/d x=0,the axial velocity along kiln length increases gradually.By the way,as for the practical rotary kiln reactor,it has various reaction zones along the axis and the solids have different properties in every zone.Thus,it is essential to know the detailed residence time of the solids in each zone.However,up to now,nearly all the experimental/theoretical works of solid transport are concentrated on the overall residence time through the kiln inlet to outlet.The residence time of solid passing a special reaction zone can be obtained by integration of the bed axial velocity along the age of this zone,t i?m z i z

ià1

d z=uezTwher

e z represents kiln axis and i

Table3

Overall experimental data for MRT and MVF of MSW with different variables

Run number Internal structure Rotated rate(rpm)Inclination(j)MRT(min)MVF(l/min)r r r

1Smooth wall2 2.4011.53 1.560.260.023 23 2.408.25 2.620.200.024 34 2.40 5.58 3.730.180.026 44 1.817.05 2.530.230.043 540.6211.28 2.180.540.049 66 2.40 4.07 4.240.160.042 78 2.40 3.27 5.500.120.037 8Finer emery cloth setting3 2.4010.98 2.04 2.650.24 94 2.408.87 3.09 2.020.23 104 1.818.78 2.09 1.750.20 1140.6216.80 1.16 3.840.24 126 2.40 6.20 4.58 1.190.19 138 2.40 4.20 4.620.850.20 14Coarser emery cloth setting3 2.4011.83 1.60 2.100.18 154 2.408.40 2.80 1.700.20 164 1.819.47 1.96 2.230.24 1740.6212.30 1.69 3.820.23 186 2.40 6.15 3.82 1.430.23 198 2.40 4.95 4.270.970.20 20Exit dam1(30mm)3 2.4013.15 1.640.430.033 214 2.409.93 2.440.370.037 224 1.8112.27 1.470.370.030 238 2.40 5.92 4.220.300.051 24Exit dam24 2.4014.80 1.560.670.045 2512b-4n2 2.4019.67 1.27 4.480.23 263 2.4013.90 1.71 3.290.24 274 2.409.75 2.16 2.260.23 284 1.8112.67 2.00 3.560.28 2940.6224.67 1.188.260.34 3012b-7n2 2.4016.95 1.02 4.360.26 313 2.4015.90 1.69 4.110.27 324 2.4011.62 2.33 2.450.21 334 1.8115.12 2.13 4.340.29 3440.6221.670.987.320.33 3512n-4n2 2.4019.67 1.33 5.570.28 363 2.4012.08 1.84 3.240.27 374 2.409.78 2.71 2.140.22 384 1.8115.20 1.91 4.670.31 3940.6222.37 1.20 6.890.33 4012b-4b2 2.4024.920.87 6.270.25 413 2.4015.85 1.47 2.940.19 424 2.4012.03 2.04 2.610.22 434 1.8115.95 1.38 3.920.25 4440.6226.750.847.650.27 *The inlet depth of solid bed in all runs is70mm(23%of inner diameter).

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the zone’s sequence.Axial velocity,u (x ),can be calculated through the empirical correlations (Lebas et al.[28],Perron and Bui [29]).

3.3.Influences of particle characteristics on MRT and MVF

The comparison of MRT and MVF between sand and MSW under the same conditions is shown in Figs.7and 8,respectively.The MRT of MSW is greater than that of sand for all runs.From the regress curve in Fig.7,it is obtained that the former is about 1.43times of the latter.Contrarily,MVF of MSW is less than that of sand with the multiple of 0.625(1/1.48).From Table 2,it can be seen that sin h d of MSW is 1.50times of that of sand.Thus,the conclusion is drawn:the material’s characteristics exerts its influences on the MRT and MVF mainly in terms of h d ;MRT increases approximately in linear fashion as sin h d of material increases,while MVF is subjected to the inverse proportional function of sin h d .These conclusions will be

verified subsequently by the theoretical analysis in Part II of this work.

3.4.Influences of rotating speed and kiln slope

The impact of rotating speed on the MRT and MVF of heterogeneous MSW is shown in Fig.9.As rotational speed increases from 2to 8rpm,MRT decreases nearly in inverse proportional fashion of rotating speed,while MVF increases gradually.These conclusions are consistent with those acquired from the homogenous small particles by others [11,30].It may be explained that the axial transport of solids mainly occurs in the active layer of bed surface,while solids in the stagnant region under bed surface only turn around the kiln axis without any axial displacement.As the rotational speed increases,the times of a particle entering the active layer per unit time increases,which further results in the increase of the particle’s axial displacement per unit time (namely,particle’s axial velocity)[18,31].Therefore,MRT decreases and MVF

increases.

Fig.3.Residence time distribution of

sand.

Fig.4.Residence time distribution of

MSW.Fig.5.Axial speed distribution of sand along kiln

axis.

Fig.6.Axial speed distribution of MSW along kiln axis.

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222

Fig.10indicates the effect of kiln slope on the transport behavior of MSW.When kiln slope angle increases from 0.62j to 2.40j ,the MRT decreases in an approximately linear fashion from 11.28to 5.58min,while MVF rises from 2.18to 3.73l/min.It is possible that the increasing kiln inclination causes the increment of the gravitational force component in the axial direction of individual particle during its cascading,i.e.,the increment of the solid axial velocity,which finally causes MRT to decrease and MVF to increase.3.5.Influences of exit-end dams

The exit-end dam exerts significant influences on the MRT and MVF of solids in a rotary kiln.As shown in Fig.11,MRT of MSW and sand with the 30-mm dam (about 10%of inner kiln diameter)are 78.0%and 71.4%longer than that with no end constriction,respectively.As for a higher 50-mm dam (about 16.7%of inner diameter),the

corresponding augment is 165%and 138%for MSW and sand,respectively.The higher height of dam has,the more remarkable effect it has on MRT.The affecting extent made by the 50-mm dam is almost twice of that made by the 30-mm dam.The reasons for above conclusions lie in two aspects.First,the usage of exit dam reduces the slope of the solid bed and then the axial cascading velocity of particles.On the other hand,it causes the increment of bed depth in kiln.This increment of flow area in cross-section will decrease axial cascading velocity,either.Finally,the combi-nation of two reasons above cause the remarkable increase of MRT.In addition,MVF decreases when employing exit-end dam.As for the 30-mm dam,the reduction of MVF of MSW and sand are 34.5%and 27.9%,respectively,and for the 50-mm dam,the corresponding reduction is 58.3%and 35.2%(shown in Fig.12).It is doubtless that the usage of exit dam is an effective method to control the MRT and MVF of solids.However,it is noted that exit dam has no such apparent impacts on relative variance r r as it has on MRT,as seen from Table 3

.

https://www.doczj.com/doc/308288795.html,parison of MRT between MSW and

sand.

https://www.doczj.com/doc/308288795.html,parison of MVF between MSW and

sand.Fig.9.Effect of rotational speed on MSW transport

behavior.

Fig.10.Effect of kiln slope angle on MSW transport behavior.

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3.6.Influences of the internal structures

The internal structures inevitably affect the axial trans-port of solids [13,14].The impacts of internal structures on MRT are different with various groups consisting of a certain number of axial ribs or circular ribs.Figs.13and 14illustrate the influences of four groups of internal structures (listed in Table 2)on the MRT of MSW and sand,respectively.It is found that all these four kind of internal structures seriously increase MRT of solids.The detailed conclusions are drawn:as the number of circular ribs in an internal structure group increases (12b-4n !12b-7n),the MRT in 12b-7n case is slightly longer than that in 12b-4n case for both MSW and sand;as the height of circular ribs increases from 30to 50mm (12b-4n !12b-4b),the incre-ment of MRT from 12b-4n to 12b-4b case is more remark-able.However,with the increasing height of axial ribs from 10to 20mm (12n-4n !12b-4n),the MRT changing ten-dency of MSW and sand is inconsistent or inexplicit.According to above,it is concluded that influences of the internal structure group on MRT are dependent on the height of circular ribs,while the impacts of the height of axial ribs is inexplicit.The influence of circular ribs on MRT can be explained by their similarity to the exit dam whose influence has been already tested to be remarkable.The impact of axial ribs on MRT is quite complicated,which not only changes the solid’s dynamic angle of repose,but also kicks up some particles from the bed surface to the freeboard space.These conclusions can be verified by the experi-ments.For instance,the 30-mm exit dam promotes MRT with 78.0%;however,the internal structure groups labeled 12b-4n,12b-7n and 12n-4n,whose circular ribs is also 30-mm height,only promote the MRT in range of 75%to 108%with MSW under an condition of rotating speed at 4rpm and inclination at 2.40j (Fig.14).

Since the exit dam (regarded as one special circular rib)does not exert the same apparent effects on r r as it does on MRT,here,the great promotion by one-order of

magni-

Fig.11.Effect of exit end dam on

MRT.

Fig.12.Effect of exit end dam on

MVF.Fig.13.Effect of various internal structures on MRT of

MSW.

Fig.14.Effect of various internal structures on MRT of sand.

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224

tude of r r may be attributed to the presence of axial ribs (Table 3).

3.7.The influences of inside wall roughness

The inside wall’s roughness,designated by the wall friction factors of solids (f ),has significant effects on axial transport.Fig.15presents the variation of MRT with the various f .When the inside wall is smooth with f at 0.480,MRT is rather short.When f increases to 1.003(viz.the finer emery cloth is set on inside wall),MRT increases significantly.However,with further increase of f from 1.003to 1.251(the coarser emery cloth setting),the increment of MRT is not apparent.It can be explained that the variation of f greatly changes the bulk characteristics (in terms of variation of h d )and further changes the bed regimes of solids.As observed,the solid bed in a case of smooth wall may perform at a slumping regime,in which the solids cascade as periodic ‘avalanche’through the kiln and have a short MRT.When f increases to 1.003,h d increases from 48.5j to 58j and the rolling regime is well

formed.The variation of both h d and bed regimes greatly increases MRT.When f continues to increase to 1.251,h d slowly increases up to about 59.5j ,the rolling regime also dominates the bed behavior (that is,the advanced cataract-ing regime is not yet formed).Thus,the variation of MRT is small.In addition,the impact of f on MVF of MSW is shown in Fig.16.MVF decreases gradually with the increasing f ,and its changing tendency is contrary to that of MRT.

3.8.The relationship between MRT and MVF

As discussed above,when one of the variables,such as rotational speed,kiln slope,dynamic angle of repose and internal-structures,changes,the variation of MRT has the reverse tendency with that of MVF.It is apparent that the product of MRT and MVF is just the holdup of solids in kiln,which is expressed as Holdup =MRT ?MVF.Fig.17shows the product of MRT and MVF (i.e.holdup)under different run,in which the values of MRT and MVF are obtained from Table 3.In a case of smooth wall with open exit end,in spite of the changing of rotational speed or kiln slope,the product of MRT and MVF keeps around 19.7l,which implies that the overall fill ratio of solids to kiln vessel is a constant at 15%.As far as the internal-structures,such as 12b-4n,12b-7n and 12n-4n are considered,it holds around 25l (that’s,overall fill of solids reaches about 18f 19%).The employment of 12b-4n,12b-7n or 12n-4n not only similarly enlarges the exit-end bed depth from 0to 30mm (while the bed depth at kiln inlet holds 70mm),but also expands the bulk characteristics of solids along all kiln length.Thus,the holdup increases from 19.7to 25.3l.Finally it is drawn that the overall fill ration or holdup of solids within kiln is just relevant to the inlet bed depth,exit bed depth and usage of internal structures,but independent of some operational parameters such as rotational speed or kiln slope.This conclusion is much meaningful to the scale-up or design rotary kiln

reactor.

Fig.17.Relationship between MRT and

MVF.

Fig.15.Effect of inside wall roughness on MRT of

MSW.Fig.16.Effect of inside wall roughness on MVF of MSW.

S.-Q.Li et al./Powder Technology 126(2002)217–227225

4.Conclusion

(1)The reconstituted MSW consists of49.9wt.%wood chips,17.0wt.%paper plates and33.1wt.%waste tyres. The dynamic angle of repose(h d)reflects the bulk character-istics of solids in kiln.h d of MSW is48.5j and h d of the contrastive sand is about29.3j.The value of h d increases with the enhancement of wall roughness,but is independent of the drum rotation speed.

(2)The distribution of residence time of MSW arises from the axial segregation of different components,but not the axial collisions.It results in a relatively large discrep-ancy of experimental RTD with ideal normal distribution. The variance(r or r r)of MSW is greater than that of sand. It is noted that the known phenomenon of alternate band formation does not occur in such a continuous system.

(3)The axial cascading velocity of particles increases along the axial direction due to the decrement of the bed depth or the fill area along the kiln axis.Thus,it is essential to know the detailed residence time of the solids in each divided zone besides that of the whole kiln,which implies incoming research intensive.

(4)The difference of the MRT/MVF between the hetero-geneous MSW and regular sand is related to their dynamic angles of repose.MRT is approximately a proportion function of sin h d,while MVF is an inverse proportion function of sin h d.

(5)Increasing either rotating speed or kiln slope results in the decreasing MRT and increasing MVF.These variables are both considered as flexible parameters to adjust the kiln peformance in the practice.The r of RTD shows the same fashion as MRT with various rotating speed or kiln slope, while r r keeps in a narrow range from0.02to0.05.

(6)The exit dam has remarkable impact on MRT of solids; thus,it can also be used as an adjusting tool of the kiln.Impact of internal structures,which are composed of axial ribs and circular ribs,on MRT mainly depends on height of circular ribs.However,exit dam(or circular ribs)does not exert the same apparent impact on r r as it does on MRT.It is implied that the axial ribs will have great effect on r r.

(7)The effect of roughness of inside wall on MRT and MVF can be explained by that the variation of f between the wall and the solids directly changes the bulk characteristics of the solids in kiln and further changes the motion regime of the bed.

(8)For a case with given inlet and exit bed depths,the holdup in terms of the product of MRT and MVF holds at a constant within the limits of experimental errors.The presence of internal structures increases the holdup of solids.

Acknowledgements

This research was supported mainly by Nation Natural Science Funds of China(No.50076037)and partially by Zhejiang provincial National Science Funds of China(No. RC99041).We are grateful to Dr.A.-M.Li for helpful discussion about rotary kiln transport processes.The contribution of Dr.J.T.Huang and Z.X.Zhang to this work is gratefully acknowledged.

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