Добавил:
Опубликованный материал нарушает ваши авторские права? Сообщите нам.
Вуз: Предмет: Файл:

Yang Fluidization, Solids Handling, and Processing

.pdf
Скачиваний:
83
Добавлен:
15.08.2013
Размер:
20.69 Mб
Скачать

Fluidized Bed Scale-up 105

Avidan, A., and Edwards, M., “Modeling and Scale Up of Mobil’s Fluid Bed MTG Process,” Fluidization V , (K. Ostergaard, and A. Sorensen, eds.), Engineering Foundation, New York (1986)

Avidan, A., Edwards M., and Owen, H., “50 Years of Catalytic Cracking,” Oil and Gas J., p. 33 (1990)

Baeyans, J., and Geldart, D., “Predictive Calculations of Flow Parameters in Gas Fluidized Bed and Fluidization Behavior of Various Powders,” Proc. Int. Symp. on Fluidization and its Appl., p. 263 (1973)

Batchelor, G. K., “A New Theory for the Instability of a Fluidized Bed,” J. Fluid Mech., 31:657 (1988)

Bauer, W., Werther, J., and Emig, G., “Influence of Gas Distributor Design on the Performance of Fluidized Bed Reactor,” Ger. Chem. Eng., 4:291 (1981)

Bi, H. T., Grace, J. R., and Zhu. J., “Propagation of Pressure Waves and Forced Oscillations in Gas-solid Fluidized Beds and their Influence on Diagnostics of Local Hydrodynamics,” Powder Technol., 82:239 (1995)

Chang, H., and Louge, M., “Fluid Dynamic Similarity of Circulating Fluidized Beds,” Powder Tech., 70:259 (1992)

Davidson, J. F., and Harrison, D., Fluidized Particles, Cambridge University Press, Cambridge, U.K. (1963)

Daw, C. S., and Harlow, J. S., “Characteristics of Voidage and Pressure Signals from Fluidized Beds using Deterministic Chaos Theory,” Proc. 11th Int. Conf. Fluidized Bed Comb., 2:777 (1991)

Daw, C. S., Lawkins, W. F., Downing, D. J., and Clapp, N. E., “Chaotic Characteristics of a Complex Gas-solids Flow,” Phys. Rev. A, 41:1179 (1990)

DeGroot, J. H., “Scaling-up of Gas-fluidized Bed Reactors,” Proc. of the Int. Symp. on Fluidization, (A. A. H. Drinkenburg, ed.), Netherlands University Press, Amsterdam (1967)

DiFelice, R., Rapagna, S., and Foscolo, P. U., “Dynamic Similarity Rules: Validity Check for Bubbling and Slugging Fluidized Beds,” Powder Technol., 71:281 (1992a)

DiFelice, R., Rapagna, S., Foscolo, P. U., and Gibilaro, L. G., “Cold Modelling Studies of Fluidised Bed Reactors,” Chem. Eng. Sci., 47:2233 (1992b)

Fan, L. T., Ho, T. C., Hiraoka, S., and Walawender, W. P., “Pressure Fluctuations in a Fluidized Bed”, AIChE J., 27:388 (1981)

Farrell, P. A., “Hydrodynamic Scaling and Solids Mixing in Pressurized Fluidized Bed Combustors,” Ph.D. Thesis, Massachusetts Institute of Technology (1996)

Fitzgerald, T. J., Bushnell, D., Crane, S., and Shieh, Y., “Testing of Cold Scaled Bed Modeling for Fluidized-bed Combustors,” Powder Technol., 38:107 (1984)

106 Fluidization, Solids Handling, and Processing

Fitzgerald, T. J., and Crane, S. D., “Cold Fluidized Bed Modeling,” Proc. 6th Int. Conf. Fluidized Bed Comb. III, p. 815 (1980)

Foscolo, P. U., DiFelice, R., Gibilaro, L. G., Pistone, L., and Piccolo, V. “Scaling Relationships for Fluidisation: The Generalized Particle Bed Model,” Chem. Eng. Sci., 45:1647 (1990)

Foscolo, P. U. & Gibilaro, L. G. “A Fully Predictive Criterion for the Transition between Particulate and Aggregate Fluidization,” Chem. Eng. Sci., 39:1667 (1984)

Frye, C. G., Lake, W. C., and Eckstrom, H. C., “Gas-solid Contacting with Ozone Decomposition Reaction,” AIChE J., 4(4):403 (1958)

Geldart, D., “The Size and Frequency of Bubbles in Two-and Three-Dimensional Gas-Fluidised Beds,” Powder Technol., 4:41 (1970)

Glicksman, L. R., “Scaling Relationships for Fluidized Beds,” Chem. Eng. Sci., 39:1373 (1984)

Glicksman, L. R., and McAndrews, G., “The Effect of Bed Width on the Hydrodynamics of Large Particle Fluidized Beds,” Powder Technol., 42:159 (1985)

Glicksman, L. R., and Piper, G. A. “Particle Density Distribution in a Freeboard of a Fluidized Bed,” Powder Technol., 53:179 (1987)

Glicksman, L. R. “Scaling Relationships for Fluidized Beds”, Chem. Eng. Sci., 43:1419 (1988)

Glicksman, L. R., Yule, T., Dyrness, A., and Carson, R., “Scaling the Hydrodynamics of Fluidized Bed Combustors with Cold Models: Experimental Confirmation,” Proc. 9th Int. Conf. on Fld. Bed Comb ., p. 511 (1987)

Glicksman, L. R., Mullens, G., and Yule, T. W., “Tube Wear Tests in the MIT Scaled Fluidized Bed,” Proc. of EPRI Workshop (1987b)

Glicksman, L. R., Yule, T., Carson, R., and Vincent, R, “Comparison of Results from TVA 20 MW Fluidized Bed Combustor with MIT Cold Scale Model,”

Proc. 1988 Seminar on Fluidized Bed Comb. Technol. for Utility Appl., EPRI GS-6118, 1-20-1 (1989)

Glicksman, L. R., Westphalen, D., Brereton, C., and Grace, J., “Verification of the Scaling Laws for Circulating Fluidized Beds,” Circulating Fluidized Bed Technol. III, (P. Basu, M. Horio, and M. Hasatani, eds.), Pergamon Press, Oxford (1991)

Glicksman, L. R., Yule, T., and Dyrness, A., “Prediction of the Expansion of Fluidized Beds Containing Tubes,” Chem. Eng. Sci., 46(7):1561 (1991b)

Glicksman, L. R., Yule, T., Arencibia A., and Pangan, A., “Heat Transfer to Horizontal Tubes in a Slumped Bed Adjacent to a Fluidized Bed,”

Fluidization VII, Proc. 7th Eng. Foundation Conf. on Fluidization, p. 813, Eng. Foundation, NY (1992)

Fluidized Bed Scale-up 107

Glicksman, L. R., Hyre, M. R., and Westphalen, D., “Verification of Scaling Relations for Circulating Fluidized Beds,” Proc. 12th Int. Conf. on Fluidized Bed Comb., p. 69 (1993a)

Glicksman, L. R., Hyre, M. R., and Woloshun, K., “Simplified Scaling Relationships for Fluidized Beds,” Powder Technol., 77:177 (1993b)

Glicksman, L. R., Hyre, M. and Farrell, P. “Dynamic Similarity in Fluidization,”

Int. J. of Multiphase Flow, 20:331 (1994)

Glicksman, L. R., and Farrell, P., “Verification of Simplified Hydrodynamic Scaling Laws for Pressurized Fluidized Beds: Part I Bubbling Fluidized Beds,” Proc. 13th Int. Conf. for Fluidized Bed Comb., p. 981 (1995)

Glicksman, L. R., Hyre, M., Torpey, M., and Wheeldon, J., “Verification of Simplified Hydrodynamic Scaling Laws for Pressurized Fluidized Beds: Part II Circulating Fluidized Beds,” Proc. 13th Int. Conf. for Fluidized Bed Combustion, p. 991 (1995)

Hartge, E.-U., Li, Y., and Werther, J., “Flow Structures in Fast Fluidized Beds,” Fluidization V , Proc. 5th Eng. Foundation Conf. on Fluidization, Elsinore Denmark, p. 345 (1985)

He, Y-L, Lim, C. J., and Grace, J. R., “Scale-up Studies of Spouted Beds,” Chem. Eng. Sci., 52:329–339 (1997)

Horio, M., Nonaka, A., Sawa, Y., and Muchi, I., “A New Similarity Rule for Fluidized Bed Scale-up,” AIChE J., 32:1466 (1986a)

Horio, M., Takada, M., Ishida, M., and Tanaka, N., “The Similarity Rule of Fluidization and its Application to Solid Mixing and Circulating Control,” in: Fluidization V, (K. Ostergaard and A. Sorenson, eds.), Engineering Foundation, New York (1986b)

Horio, M., Ishii, H., Kobukai, Y., and Yamanishi, N., “A Scaling Law for Circulating Fluidized Beds,” J. Chem. Eng. Jpn., 22:587 (1989)

Horio, M., “Scaling Laws of Circulating Fluidized Beds,” Workshop on Materials Issues in Circulating Fluidized-Bed Combustors, EPRI Report 65-6747, (12–1)–(12–14) (1990)

Horio, M., Ishii, H., and Nishimuro, M., “On the Nature of Turbulent and Fast Fluidized Beds,” Powder Technol., 70(3):229 (1992)

Hovmand, S., and Davidson, J. F, “Slug Flow Reactors,” Fluidization, (J. F. Davidson, and D. Harrison, eds.), Academic Press, London (1971)

Ishii, H., Nokajima, J., and Horio, M., “The Clustering Annular Flow Model of Circulating Fluidized Beds,” J. Chem Eng. Jpn., 22(5):484 (1989)

Ishii, H., and Murakami, I. “Evaluation of the Scaling Law of Circulating Fluidized Beds in Regard to Cluster Behaviors,” Circulating Fluidized Bed Technol. III, (P. Basu, M. Horio, and M. Hasatani, eds.), Pergamon Press, Oxford (1991)

108 Fluidization, Solids Handling, and Processing

Jackson, R., “Fluid Mechanical Theory,” Fluidization, Chapt. 3, (Davidson, J. F., and Harrison, D., eds.), Academic Press, New York (1971)

Jones, L., and Glicksman, L. R., “An experimental investigation of gas flow in a scale model of a fluidized-bed combustor,” Powder Technol., 45:201 (1986)

Johnsson, J. E., Grace, J. R., and Graham, J. J., “Fluidized Bed Reactor Model Verification on a Reactor of Industrial Scale,” AIChE J., 33(4):619 (1987)

Jones, L., and Glicksman, L. R., “An Experimental Investigation of Gas Flow in a Scale Model of a Fluidized-bed Combustor,” Powder Technol., 45:201 (1986)

Knowlton, T. M., Geldart, D., and Matsen, J., oral presentation, Fluidization VIII, Inter. Symp. of the Eng. Foundation, pp. 14–19, Tours, France (1995)

Lirag, R. C., and Littman, H., “Statistical Study of the Pressure Fluctuations in a Fluidized Bed,” AIChE Symp. Ser., 166(67):11 (1971)

Litka, T., and Glicksman, L. R., “The Influence of Particle Mechanical Properties on Bubble Characteristics and Solid Mixing in Fluidized Beds,” Powder Technol., 42:231 (1985)

Matsen, J. M., “Fluidized Beds,” Scaleup of Chemical Processes: Conversion from Laboratory Scale Tests to Successful Commercial Size Design, (A. Bisio, and R. L. Kabel, eds.) p. 347, John Wiley & Sons, New York (1985)

Matsen, J. M., “Design and Scale-up of CFB Catalytic Reactors,” Circulating Fluidized Beds, Ch. 14, (J. R. Grace, A. A. Avidan, and T. M. Knowlton, eds.) pp: 489–503, Chapman & Hill, London (1997)

May, W. G., “Fluidized-bed Reactor Studies,” Chem. Eng. Progress, 55(12):49

(1959)

Nakamura, K., and Capes, C. E., “Vertical Pneumatic Conveying: A Theoretical Study of Uniform and Annular Particle Flow Models,” Can. J. Chem. Eng., 51:39 (1973)

Newby, R. A., and Keairns, D. L., “Test of the Scaling Relationships for Fluid-bed Dynamics,” Fluidization V, (K. Ostergaard and A. Sorensen, eds.), Engineering Foundation, New York (1986)

Nguyen, H. V., Potter, O. E., and Whitehead, A. B., “Bubble Distribution and Eruption Diameter in a Fluidized Bed with a Horizontal Tube Bundle,” Chem. Eng. Sci, 34:1163 (1979)

Nicastro, M. T., and Glicksman, L. R., “Experimental Verification of Scaling Relationships for Fluidized Bed,” Chem. Eng. Sci., 39:1381 (1984)

Noymer, P. D., Hyre, M. R., and Glicksman, L. R., “The Influence of Bed Diameter on Hydrodynamics and Heat Transfer in Circulating Fluidized Beds,” Fluidization and Fluid-Particle Systems, AlChE, pp. 86–90 (1995)

Patience, G. S., Chaouki, J., Berruti, F., and Wong, R., “Scaling Considerations for Circulating Fluidized Bed Risers,” Powder Technol., 72, 31 (1992)

Fluidized Bed Scale-up 109

Rhodes, M. J., Wang, X. S., Cheng, H., Hirama, T., and Gibbs, B. M., “Similar Profiles of Solids Flux in Circulating Fluidized Bed Risers,” Chem. Eng. Sci., 47(7):1635 (1992)

Rhodes, M. J., and Laussman, P., “A Study of the Pressure Balance around the Loop of a Circulating Fluidized Bed,” Can. J. Chem. Eng., 70:625 (1992)

Rietema, K., and Piepers, H. W., “The Effect of Interparticle Forces on the Stability of Gas-fluidized Beds--I. Experimental Evidence,” Chem Eng. Sci., 45:1627 (1990)

Rietma, K., Cottaar, E. J. A., and Piepers, H. W., “The Effect of Interparticle Forces on the Stability of Gas-fluidized Beds -- II. Theoretical Derivation of Bed Elasticity on the Basis of Van der Waals Forces between powder Particles,” Chem. Eng. Sci., 48:1687 (1993)

Rowe, P. N., and Stapleton, W. M., “The Behavior of 12-inch Diameter Fast Fluidized Beds,” Trans. Instn. Chem. Engrs., 39:181 (1961)

Roy, R., and Davidson, J. F., “Similarity between Gas-fluidized Beds at Elevated Temperature and Pressure,” Fluidization VI, Engineering Foundation, New York (1989)

Scharff, M. F., Goldman, S. R., Flanagan, T. M., Gregory, T. K., and Smott, L. D., “Project to Provide an Experimental Plan for the Merc 6' x 6' Fluidized Bed Cold Test Model,” Department of Energy, Final Report J772042-FR Contract EY-77-C-21-8156 (1978)

Schouten, J. C., and Van den Bleek, C. M., “Chaotic Behavior in the Hydrodynamic Model of a Fluidized Bed Reactor,” Proc. 11th Int. Conf. on Fluidized Bed Comb., 1:459 (1991)

Shingles, T., and McDonald, A. F., “Commercial Experience with Synthol CFB Reactors,” in Circulating Fluidized Bed Technol. II, (P. Basu, and B. P. Large, eds.), Pergamon Press, Oxford (1988)

Thiel, W. J., and Potter, O. E., “Slugging in Fluidized Beds,” Ind. Eng. Chem. Fundam., 16(2):242 (1977)

Thiel, W. J., and Potter, O. E., “The Mixing of Solids in Slugging Gas Fluidized Beds,” AIChE J., 24:561 (1978)

Tsukada, M., Nakanishi, D. Takei, Y., Ishii, H., and Horio, M., “Hydrodynamic Similarity of Circulating Fluidized Bed under Different Pressure Conditions,”

Proc. 11th Int. Conf. Fluidized Bed Comb., p. 829 (1991)

Van den Bleek, C. M., and Schouten, J. C., “Can Deterministic Chaos Create Order in Fluidized Bed Scale-up?”, Chem. Eng. Sci., 48:2367 (1993)

Van Deemter, J. J., “Mixing Patterns in Large-scale Fluidized Beds,” Fluidization, (J. R. Grace, and J. M. Matsen, eds.), Plenum Press, New York (1980)

Van Swaaij, W. P. M., and Zuiderweg, F. J., “Investigation of Ozone Decomposition in Fluidized Beds on the Basis of a Two-phase Model,” Chemical Reaction Eng., Proc. 5th European/2nd Int. Symp. Chem. Reaction Eng., Elsevier, Amsterdam/London/New York (1972)

110 Fluidization, Solids Handling, and Processing

Van Swaaij, W. P. M., and Zuiderweg, F. J., “The Design of Gas-Solids Fluidized Beds - Prediction of Chemical Conversion,” Proc. Int. Symp. on Fluidization and its Appl., Ste Chimie Industrielle, Toulouse (1973)

Volk, W., Johnson, C. A., and Stotler, H. H., “Effect of Reactor Internals on Quality of Fluidization,” Chem. Eng. Progress, 58:44 (1962)

Werther, J., “Influence of Bed Diameter On the Hydrodynamics of Gas Fluidized Beds,” AIChE Symp. Ser., 70 (141):53 (1974)

Werther, J., “Scale-up of Fluidized Bed Reactors,” Ger. Chem. Eng., 1:243 (1978)

Werther, J., “Scale-up Modeling for Fluidized Bed Reactors,” Chem. Eng. Sci., 47(9-11):2457 (1992)

Werther, J., and Schoessler, M., “Modeling Catalytic Reactions in Bubbling Fluidized Beds of Fine Particles,” Heat and Mass Transfer, (W. P. M. Van Swaay, and H. H. Afgan, eds.), Springer, Berlin (1986)

White, F. M., Viscous Fluid Flow, McGraw-Hill, New York (1974)

Whitehead, A. B., and Young, A. D., “Fluidisation Performance in Large Scale Equipment,” Proc. Intern. Symp. on Fluidisation, p. 294, Eindhoven (1967)

Yang, W. C., Newby, R. A., and Keairns, D. L., “Large-scale Fluidized Bed Physical Model: Methodology and Results,” Powder Technol., 82:331 (1995)

Yang, W. C., “Criteria for Choking in Vertical Pneumatic Conveying Lines,”

Powder Technol., 35:143 (1983)

Yerushalmi, Y., and Avidan, A., “High Velocity Fluidization,” in Fluidization, (J. F. Davidson, R. Clift, and D. Harrison, eds.), 2nd edition, Academic Press, New York (1985)

Yule, T., and Glicksman, L. R., “Gas Flow through Erupting Bubbles in Fluidized Beds,” AIChE Symp. Ser. Fluidization Eng.: Fundamentals and Appl., 262(84):1 (1988)

Zenz, F. A., and Othmer, D. F., Fluidization and Fluid-Particle Systems, Reinhold Publishing Corp., New York (1960)

Zhang, W., Tung, Y., and Johnsson, F., “Radial Voidage Profiles in Fast Fluidized Beds of Different Diameters,” Chem. Eng. Sci., 46(12):3045 (1991)

Zhang, M. C., and Yang, R. Y. K., “On the Scaling Laws for Bubbling Gasfluidized Bed Dynamics,” Powder Technol., 51:159 (1987)

Zhang, W., Johnsson, F., and Leckner, B., “Fluid Dynamic Boundary Layers in CFB Boilers,” Chem. Eng. Sci., 50(2):201 (1995)

2

Pressure and

Temperature Effects in

Fluid-Particle Systems

Ted M. Knowlton

1.0INTRODUCTION

Most investigations of fluidization parameters take place at ambient temperature and pressure. Yet, nearly all processes operate at elevated temperature, and many at elevated pressure. Therefore, it is necessary to know how increasing temperature and pressure affect the operation of fluidized systems. However, the operation of fluidized test facilities at temperature and pressure is much more difficult and costly than operating them at ambient conditions. It is not surprising then that information on how temperature and pressure affect the operation of fluidized beds is not as prevalent as would be desired. However, many researchers have undertaken the difficult task of building and operating units to obtain these badly needed data. The purpose of this chapter is to present what is known about operating fluidized beds at elevated temperature and pressure.

111

112 Fluidization, Solids Handling, and Processing

From the 1940’s (when the significant research on fluidized beds began) until the early 1970’s, there was very little information in the literature dealing with the effects of temperature and pressure on the operation of fluidized beds. This was primarily because (i) high-pressure and/or high-temperature research rigs were (and still are) costly to build and to operate, and (ii) during this period, fluidization research was primarily directed toward improving fluidized-bed catalytic cracking, which was conducted at low pressures.

The early 1970’s saw the development of many new coal-based, synthetic-fuel, fluidized-bed processes which operated at high pressures. The scientists and engineers charged with designing these processes realized that there was a severe lack of information on how pressure (and also temperature) affected the operation of fluidized beds. Therefore, several studies to determine the effect of pressure on the operation of fluidized beds were commissioned. During the same period, other researchers in Japan, Europe, and the U.S. were also starting to conduct research to determine the effects that temperature and pressure have on fluidized systems.

As a result, most of the information on how temperature and pressure affect fluidized beds has been obtained during the last twenty-five years. Much of this research has been conducted in a piecemeal fashion by several researchers. However, enough information is available to allow the construction of an overall picture of how these two parameters affect fluidized beds, and fluid-particle systems in general.

Temperature and pressure affect the operation of fluid-particle systems because they affect gas density and gas viscosity. It is the variation in these two parameters that determine the effects of temperature and pressure on fluid-particle systems. Increasing system temperature causes gas density to decrease and gas viscosity to increase. Therefore, it is not possible to determine only the effect of gas viscosity on a system by changing system temperature because gas density is also changed and the resulting information is confused. Very few research facilities have the capability to change system pressure to maintain gas density constant while the temperature is being changed to vary gas viscosity.

Changing system pressure essentially only changes gas density in a system because gas viscosity is an extremely weak function of system

Pressure and Temperature Effects 113

pressure. For example, increasing the pressure of nitrogen gas from 1 to 70 bar increases its viscosity by less than 10%.

Most fluidized-bed processes operate within the temperature and pressure ranges of ambient to 1100°C and ambient to 70 bar, respectively. Over this temperature range, gas viscosity increases by a factor of about 3 to 4, depending upon the type of gas. If the pressure of the system remains constant while temperature is changed, the gas density decreases over this temperature range by a factor of 1373/293 = 4.7. If system pressure is increased without changing temperature, the gas density is increased by the same factor as the pressure ratio—which would be approximately 70:1 for a change in pressure from ambient to 70 bar.

The effects of temperature and pressure on fluidized-bed systems cannot be considered independently of particle size. Whether temperature and pressure have an effect (and indeed, even the direction of that effect) on a system, depends strongly on particle size. In addition, the type of interaction between gas and solids, i.e., whether the interaction is due to momentum or drag, determines if gas viscosity has an effect upon the system. As will be shown, gas viscosity is not important in systems in which momentum is important, but is important in systems dominated by drag.

This chapter will look at the effects of pressure and temperature on various types of fluidized beds: bubbling, turbulent, and circulating. More studies at elevated temperature and pressure have been conducted in bubbling fluidized beds than higher-velocity beds. Therefore, how temperature and pressure affect bubbling fluidized beds dominate this chapter. However, recent work has been conducted on how temperature and pressure affect the transitions between the various fluidization regimes, as well as limited work in the circulating fluidized bed regime.

The chapter begins by describing how temperature and pressure affect parameters important for bubbling fluidized beds, and then discusses their effect on regime transitions, circulating fluidized beds, and cyclones.

1.1Minimum Fluidization Velocity

One of the basic parameters to be determined when designing bubbling fluidized-bed systems is the minimum fluidization velocity, Umf. The effect of temperature and pressure on Umf has been investigated by many researchers (Botterill and Desai, 1972; Botterill and Teoman, 1980;

114 Fluidization, Solids Handling, and Processing

Botterill et al., 1982; Geldart and Abrahamsen, 1981; Geldart and Kapoor, 1976; Knowlton, 1977; Mii et al., 1973; Richardson, 1971; Rowe, 1984; Sakuraya et al., 1976; Sobreiro and Monteiro, 1982; Varadi and Grace, 1978; Yoshida et al., 1976). They have found that the effects of temperature and pressure on Umf are strongly dependent upon particle size. As shown in Fig. 1 from Rowe et al. (1984), increasing system pressure causes Umf to decrease for particle sizes greater than about 100 microns. Materials of this size are essentially Geldart Group B and D powders (Geldart, 1973). For particles smaller than 100 microns (Geldart Group A powders), pressure does not affect Umf .

 

1.2

 

 

 

 

 

 

 

 

Particle Density: 1250 kg/m

3

 

 

 

Gas: Nitrogen

 

 

 

 

1

 

Ambient Temperature

 

 

 

 

 

 

 

m/s

 

 

 

 

 

 

Velocity,

0.8

 

 

 

 

 

 

 

 

 

 

 

Fluidization

0.6

 

 

 

 

 

 

 

 

 

 

 

Minimum

0.4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5000 microns

 

0.2

500 microns

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1000 microns

 

100 microns

 

 

 

 

 

0

 

 

 

 

 

 

0

20

40

60

80

100

Pressure, bar

Figure 1. The effect of pressure on minimum fluidization velocity. (Rowe.)

Соседние файлы в предмете Химия