
Yang Fluidization, Solids Handling, and Processing
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Bubbleless Fluidization |
577 |
mFixed bed pressure drop exponent, dimensionless
nFluidized bed expansion exponent, dimensionless
N |
= (L/ρf A)(S/ρs A), liquid-solids velocity ratio, dimensionless |
NH |
Number of heat-transfer stages, dimensionless |
Nu |
= hdp /k g, Nusselt number, dimensionless |
P |
Pressure drop, gm-wt/cm2 |
Pr |
= Cpµ/k g, Prandtl number, dimensionless |
Re |
= dp uρf /µ, Reynolds number, dimensionless |
S |
Mass velocity of solids, gm/cm2·sec |
Sc |
= µ/ρf Df, Schmidt number, dimensionless |
Sh |
= hDdp /Df , Sherwood number, dimensionless |
Sy |
Synergism number, dimensionless |
T |
Temperature, oC |
u |
Velocity, cm/sec |
uo |
Superficial fluid velocity, cm/sec |
ud |
Superficial solids velocity, cm/sec |
umb |
Superficial fluid velocity at incipient bubbling, cm/sec |
uf,umf Superficial fluid velocity at incipient fluidization, cm/sec |
|
up |
Actual velocity of particle, cm/sec |
us |
Relative velocity between particle and fluid, cm/sec |
ut |
Terminal particle velocity, cm/sec |
u´ |
= u /ut , reduced velocity, dimensionless |
V´ |
= A´Z´, reduced volume, dimensionless |
w |
Particle population density, gm/cm2 |
x f |
Weight fraction of fines in binary particle mixture, dimensionless |
z |
Distance, cm |
zi |
Location of point of inflection for fast fluidization, cm |
Z |
Height of fluidized bed, cm |
Zo |
Dimensionless distance in accelerative motion of particle; |
|
characteristic length for fast fluidization voidage profile, cm |
Zt |
Height based on particle terminal velocity, cm |
Z1 |
Dimensionless distance in heat transfer |
z´ |
= z/Z, reduced distance, dimensionless |
τ |
= GCp /SCs, flowing heat capacity ratio, dimensionless |
ε |
Voidage or void fraction, dimensionless |
ε mf |
Voidage at incipient fluidization, dimensionless |
578 Fluidization, Solids Handling, and Processing
εo |
Voidage of fixed bed, dimensionless |
ν |
Fractional heat recovery, dimensionless |
θTime, sec
ΘDimensionless time in particle-fluid heat transfer; dimensionless subsidence time in bed collapsing test
µViscosity, gm/cm·sec
ρ |
Density of solid, gm/cm3 |
s |
Density of fluid, gm/cm3 |
ρ |
|
f |
|
ρ= ρs - ρf, effective density
Φo Dimensionless pressure drop in accelerative particle motion
REFERENCES
Chen, B., and Kwauk, M., Generalized Fluidization of Non-Ideal Systems, Proc. First Intern. Conf. Circulating Fluidized Bed, 127-132, Halifax, Canada (1985)
Coulson, J. M., and Richardson, J. F., “Sedimentation,” Vol. 2, Chemical Engineering, McGraw-Hill, 2nd Ed. (1968); 3rd Ed. (1978)
Deng, Y., and Kwauk, M., “Levitation of Discrete Particles in Oscillating Liquids,” Chem. Eng. Sci., 45(2):483–490 (1990)
Geldart, D., “The Effect of Particle Size and Size Distribution on the Behavior of Gas-Fluidized Beds,” Powder Technol., 6:201–205 (1972)
Geldart, D., “Types of Fluidization,” Powder Technol., 7:285–290 (1973)
Houghton, G., “The Behavior of Particles in a Sinusoidal Velocity Field,” Proc. Roy. Soc., A272:33–43 (1963)
Houghton, G., “Digital Computer Simulation of Fluttering Lift in the Desert Locust,” Nature 201, pp. 568–570; “Effect of Variation in Lift Coefficient, Phase Angle and Waveform on Fluttering Lift in the Desert Locust,” Nature 202, pp. 870–872; “Simulation of Fluttering Lift in a Bird, Locust, Moth, Fly and Bee,” Nature 202, pp. 1183–1185; “Fluttering Flight Mechanisms in Insects and Birds,” Nature 204, pp. 447–449; “Generalized Hovering-Flight Correlation for Insects,” Nature 204, pp. 666–668 (1964)
Houghton, G., “Particle Trajectories and Terminal Velocities in Vertically Oscillating Fluids,” Can. J. Chem. Eng., 44:90-95 (1966)
Houghton, G., “Velocity Retardation of Particles in Oscillating Fluids,” Chem. Eng. Sci., 23:287-288 (1968)
Kramers, H., “Heat Transfer from Spheres to Flowing Media,” Physica, 12:61 (1946)
Bubbleless Fluidization |
579 |
Krantz, W. B., Carley, J. F., and Al-taweel, A. M., “Levittion of Solid Spheres in Pulsating Liquids,” Ind. Eng. Chem. Fund., 12:391-396 (1973)
Kwauk, M., “Fluidized Calcination of Aluminum Ore for Pre-Desilication,” (unpubl.),
Inst. Chem. Metall., 1964-11–6 (1964c)
Kwauk, M., and Tai, D. -W., “Transport Processes in Dilute-Phase Fluidization as Applied to Chemical Metallurgy,” (I). Transport Coefficient and System Pressure Drop as Criteria for Selecting Dilute-Phase Operations; (II). Application of Dilute-Phase Technique to Heat Transfer, (in Chinese, with Eng. abs.), Acta Metallurgica Sinica, 7:264–280; 391–408 (1964)
Kwauk, M., “Particulate Fluidization in Chemical Metallurgy,” Scientia Sinica, 16:407 (1973)
Kwauk, M., “Fluidized Leaching and Washing,” (in Chinese), Science Press, Beijing (1979a)
Kwauk, M., :Fluidized Roasting of Oxidic Chinese Iron Ores,” Scientia Sinica, 22:1265 (1979b); repr. Intern. Chem. Eng., 21:95–115 (1981)
Kwauk, M., “The Jigged Reducer,” (unpubl.); (i) 1979; (ii) 1981; (iii) 1983; Inst. Chem. Metall.
Kwauk, M., and Wang, Y., Fluidized Leaching and Washing, Chem. E. Symp,. Ser. No. 63, paper D4/BB/1-21 (1981)
Kwauk, M., Wang, N., Li, Y. Chen, B., and Shen, Z., “Fast Fluidization at ICM,”
Proc. First Intern. Conf. Circulating Fluidized Bed, p. 33–62, Halifax, Canada (1985)
Kwauk, M., Fluidization—Idealized and Bubbleless, with Applications, Science Press, Beijing, and Ellis Horwood, U. K. (1992)
Kwauk, M., “Fast Fluidization,” Advances in Chemical Engineering, (M. Kwauk, ed.), Vol. 20, Academic Press, U.S.A. (1994)
Li, J., Tung, Y., and Kwauk, M., “Fast Fluidization at ICM,” (i) Method of Energy Minimization in Multi-Scale Modeling of Two-Phase Flow; (ii) Energy Transport and Regime Transition in Particle-Fluid Two-Phase Flow; (iii) Axial Voidage Profiles of Fast Fluidized Beds in Different Operating Regions, Second International Conference on Circulating Fluidized Beds, p. 75, 89, 193, Compiegne, France (1988)
Li, J., and Kwauk, M., “Particle-Fluid Two-Phase Flow, The Energy-Minimization Multi-Scale Method,” Metallurgical Industry Press, Beijing (1994)
Li, Y., and Kwauk, M., “The Dynamics of Fast Fluidization,” Third Intern. Conf. Fluidization, p. 537–544, Henniker, U.S.A. (1980)
Liu, D., Liu, J., Li, T., and Kwauk, M., “Shallow-Fluid-Bed Tubular Heat Exchanger,” Fifth Int. Fluidization Conf., p. 401–408, Elsinore, Denmark (1986)
580 Fluidization, Solids Handling, and Processing
Liu, K., “Particle Motion in Standing Waves in Gaseous Medium,” (in Chinese, unpubl.), Inst. Chem. Metall. (1981)
Qian, Z., and Kwauk, M., “Computer Application in Characterizing Fluidization by the Bed Collapsing Method,” Tenth Intern. CODATA Conf., Ottawa (1986)
Qin, S., and Liu, G., “Application of Optical Fibers to Measurement and Display of Fluidized Systems,” Proc. China-Jpn. Fluidization Symp., p. 258–266, Hangzhou, China (1982)
Qin, S., and Liu, G., “Automatic Surface Tracking for Collapsing Fluidized Bed,” Sec. China-Japan Fluidization Symp ., Kunming, Elsevier, p. 468 (1985)
Reh, L., “Calcination von Aluminumhydroxid in einer zirkulierenden Wirbelschicht,” Chem. Eng.-Tech., 42:447–451 (1970)
Reh, L., “Fluidized Bed Processing,” Chem. Eng. Prog. 67:58–63 (1971)
Reh, L., “Calcining Aluminum Trihydrate in a Circulating Fluid Bed, a New Technique of High Thermal Efficiency, Metallurges,” Rev. Activ., 1972(15):58–60 (1972)
Reh, L., “The Circulating Fluid Bed Reactor—A Key to Efficient Gas-Solid Processing,” Proc. First Intern. Conf. Circulating Fluidized Bed, p. 105– 118, Halifax, Canada (1985)
Squires, A. M., “Applications of Fluidized Beds in Coal Technology,” lecture, Intern. School on Heat and Mass Transfer Problems in Future Energy Production, Dubrovnik, Yugoslavia (1975a)
Squires, A. M., “Gasification of Coal in High-Velocity Fluidized Beds,” loc. cit. (1975b)
Squires, A. M., “The City College Clean Fuels Institute:” Programs for (i) Gasification of Coal in High-Velocity Fluidized Beds; (ii) Hot Gas Cleaning,
Symp. Clean Fuels from Coal, I.G.T., Chicago (1975c)
Squires, A. M., The Story of Fluid Catalytic Cracking: “The First Circulating Fluid Bed,” Proc. First Intern. Conf. Circulating Fluidized Bed, p. 1–19 (1985)
Treybal, R. E., Mass Transfer Operations, McGraw-Hill, 1st Ed. (1955); 2nd Ed. (1968); 3rd Ed. (1980)
Tung, Y., and Kwauk, M., Dynamics of Collapsing Fluidized Beds, China-Jpn. Fluidization Symp ., Hangzhou, China (1982), Science Press, Beijing, and Gordon Breach, New York, p. 155–166
Tung, Y., Li, J., Zhang, J., and Kwauk, M., “Preliminary Experiments on Radial Voidage Distribution in Fast Fluidization,” Fourth Nat. Conf. Fluidization, Lanzhou, China (1987)
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Tung, Y., Li, J., and Kwauk, M., “Radial Voidage Profiles in a Fast Fluidized Bed,”
Proc. of Third China-Jpn. Symp. on Fluidization, p. 139, Beijing, China (1988)
Tung, Y., Yang, Z., Xia, Y., Zheng, W., Yang, Y., and Kwauk, M., “Assessing Fluidizing Characteristics of Powders,” Sixth Int. Fluidization Conf., Banff, Canada (1989)
Tunstall, E. B., and Houghton, G., “Retardation of Falling Spheres by Hydrodynamic Oscillation,” Chem. Eng. Sci,. 23:1067–1081 (1968)
Van Oeveren, R. M., and Houghton, G., “Levitation and Countergravity Motion of Spheres by Nonuniform Hydrodynamic Oscillation,” Chem. Eng. Sci., 26:1958–1961 (1971)
Wang, N., Li, Y., Zheng, X., and Kwauk, M., “Voidage Profiling for Fast Fluidization,” First Intern. Conf. Circulating Fluidized Beds, Halifax, Canada (1985)
Wilhelm, R. H., and Kwauk, M., “Fluidization of Solid Particles,” Chem. Eng. Prog., 44:201–218 (1948)
Yan, Z., Yao, J., and Liu, S., “Turbulence in Grid Zone of Fluidized Reactor,”
Proc. China-Jpn. Fluidization Symp., Hangzhou, China, p. 100–111 (1982)
Yan, Z., Yao, J. Z., Wang, W. L., Liu, S. J., and Kwauk, M., “Cocurrent Shallow Multistage Fluid-Bed Reactor,” Third Intern. Conf. Fluidization , Kashikojima, Japan, p. 607–614 (1983)
Yang, Z., Tung, Y., and Kwauk, M., “Characterizing Fluidization by the Bed Collapsing Method,” Chem. Eng. Commun., 39:217–232 (1985)

Three-Phase Fluidization Systems 583
The term three-phase fluidization, in this chapter, is taken as a system consisting of a gas, liquid, and solid phase, wherein the solid phase is in a non-stationary state, and includes three-phase slurry bubble columns, three-phase fluidized beds, and three-phase flotation columns, but excludes three-phase fixed bed systems. The individual phases in threephase fluidization systems can be reactants, products, catalysts, or inert. For example, in the hydrotreating of light gas oils, the solid phase is catalyst, and the liquid and gas phases are either reactants or products; in the bleaching of paper pulp, the solid phase is both reactant and product, and the gas phase is a reactant while the liquid phase is inert; in anaerobic fermentation, the gas phase results from the biological activity, the liquid phase is product, and the solid is either a biological carrier or the microorganism itself.
The important inherent differences in the operating characteristics between fixed bed systems and fluidization systems as given by Fan (1989) are summarized here. Fixed bed systems produce high reactant conversions for reaction kinetics favoring plug flow patterns because of the small axial dispersion of phases and low macromixing present in such reactors. Fixed bed systems offer the advantage of high controllability over product selectivity for complex reactions and low solids attrition and consumption, permitting the use of precious metals as catalysts. In fluidization systems, high macromixing with large axial dispersion is prevalent which produces high reactant conversions for reaction kinetics favoring completely mixed flow patterns. The high mixing in fluidization systems also yields uniformity in the temperature throughout the system and ease in temperature control. The non-stationary nature of the particles in a fluidization system allow for ease in continuous catalyst replacement and, hence, minimum flow maldistribution.
Fan (1989) provided a detailed historical development of threephase fluidization systems in reactor applications. Only a brief review of the significant accomplishments and the economic factors affecting the development of three-phase reactors will be provided here. Table 1 provides the important contributions in the application of three-phase fluidization systems for the past several decades. The direct liquefaction of coal to produce liquid fuels was the first commercial reactor application of three-phase fluidization systems, with development having occurred from the mid-1920’s throughout the 1940’s. A large effort was put forth at this time in Europe for the production of liquid fuels from coal as a direct
584 Fluidization, Solids Handling, and Processing
result of the need for such fuels during World War I and II. The commercial production of liquid fuels from direct coal liquefaction peaked at an average annual production of 4.2 million tons of primarily aviation fuel (Donath, 1963). At the end of the war, the direct production of liquid fuels from coal was phased out. Another important process which was developed during and prior to the 1940’s is the application of a three-phase reactor for the reactions known as Fischer-Tropsch (F-T) synthesis. These reactions produce liquid fuels via indirect coal liquefaction involving hydrogen and synthesis gas derived from coal gasification, in the presence of a catalyst. The peak production for the liquid phase F-T synthesis occurred in the early 1950’s at a daily production rate of 11.5 tons of liquid fuels (Kolbel and Ralek, 1980). Fischer-Tropsch synthesis ceased in the mid-1960’s because of the availability of relatively cheap crude oil. However, renewed interest in F-T synthesis in the early 1970’s, caused by the oil shortages of the time, lead to further studies in the commercial scale production of liquid fuels via F-T synthesis in slurry bubble column reactors. This development has continued throughout the 1980’s and into the 1990’s.
Table 1. Industrial Development and Application of Three-Phase
Fluidization Systems
|
|
Decade |
Application |
|
|
1940's |
Coal liquefaction, Fischer-Tropsch synthesis |
1950's |
Catalytic synthesis of chemicals |
1960's |
Hydrotreatment of petroleum resids |
1970's |
Environmental applications |
1980's |
Biotechnology application |
1990's |
Biotechnology / Chemical synthesis |
|
|
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