Abstract
This paper investigated the influence of interparticle forces on the quality of fluidization in a magnetically stabilized fluidized bed (MSFB), where we can “artificially” create interparticle forces (Fattr) of any magnitude by applying an external magnetic field to ferromagnetic particles. A theoretical model was proposed which predicts the transition point from a homogeneous to a heterogeneous fluidization as a function of the magnitude of the interparticle force and other physical characteristics of both particles and fluids that are usually observed in fluidizationρ p, ρf,μ, dp, ε). The concept of the elastic wave velocity, Ue, and the continuity wave velocity, Uε, was introduced. In particular, the interparticle force manipulated by an externally applied magnetic field was taken into account in addition to a general consideration of a conventional fluidized bed. Bubbles form in a bed when the continuity wave velocity becomes faster than the elastic wave velocity. The simulation demonstrated the proposed model could predict the transition point of fluidization regime with reasonable accuracy.
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References
Baerns, M., “Effect of Interparticle Adhesive Forces on Fluidization of Fine Particles,”I & EC Fund.,5(4), 508 (1966).
Barrett, C. R. and Tetelman, A. S., “The Principles of Engineering Materials,” Prentice-Hall, N. J. (1973).
Casal, J., “Contribuci’o a l’estudi de la fluiditzaci’o homogenia,” Arxius Secci’o Ciències, Institut d’Estudis catalans, Barcelona, 77 (1984).
Chen, C. W., “Magnetism and Metallurgy of Soft Magnetic Materials,” North-Holland (1977).
Chetty, A. S., Gabis, D. H. and Burns, M. A., “Overcoming Support Limitations in Magnetically Fluidized Bed Separators,”Powder Tech.,64, 165 (1991).
Ciborowski, J. and Wlodarski, A., “On Electrostatic Effects in Fluidized Beds,”Chem. Eng. Sci.,17, 23 (1962).
Cohen, A. H. and Chi, T., “Aerosol Filtration in a Magnetically Stabilized Fluidized Bed,”Powder Tech.,64, 147 (1991).
Cox, J. D. and Clark, N. N., “The Effect of Particle Drag Relationships on Prediction of Kinematic Wave Velocity in Fluidized Beds,”Powder Tech.,66, 177 (1991).
Donsi’, G. and Massimilla, L., “Bubble-Free Expansion of GasFluidized Beds of Fine Particles,”AIChE Symp. Ser.,19(6), 1104 (1973).
Donsi’, G., Moser, S. and Massimilla, L., “Solid-Solid Interaction Between Particles of a Fluid Bed Catalyst,”Chem. Eng. Sci.,30, 1533 (1975).
Filippov, M. V., “The Effect of a Magnetic Field on a Ferromagnetic Particle Suspension Bed,”Prik. Magnit. Lat. SSR (USSR),12, 215 (1960).
Flemmer, R. L. C. and Clark, N. N., “Wave Velocity Based on a New Equation of State for Fluidized Beds,”Powder Tech.,50, 77 (1987).
Foscolo, P. U. and Gibilaro, L. G., “A Fully Predictive Criterion for the Transition Between Particulate and Aggregate Fluidization,”Chem. Eng. Sci.,39(12), 1667 (1984).
Foscolo, P. U., Gibilaro, L. G., Felice, R. Di. and Waldram, S. P., “The Effect of Interparticle Forces on the Stability of Fluidized Beds,”Chem. Eng. Sci.,40(12), 2379 (1985).
Geldart, D. and Abrahamsen, A. R., “Homogeneous Fluidization of Fine Powders Using Various Gases and Pressures,”Powder Tech.,19, 133 (1978).
Gibilaro, L. G., Felice, R. Di., Waldram, S. P. and Foscolo, P. U., “Generalized Friction Factor and Drag Coefficient Correlations for Fluid-Particle Interactions,”Chem. Eng. Sci.,40(10), 1817 (1985).
Gibilaro, L. G., Felice, R. Di. and Foscolo, P. U., “The Influence of Gravity on the Stability of Fluidized Beds,”Chem. Eng. Sci.,41(9), 2438 (1986).
Griffiths, D. J., “Introduction to Electrodynamics,” Prentice-Hall, N. J. (1981).
Jaraiz, E.-M., Kimura, S. and Levenspiel, O., “Vibrating Beds of Fine Particles: Estimation of Interparticle Forces from Expansion and Pressure Drop Experiments,”Powder Tech.,72, 23 (1992).
Katz, H. and Sears, J. T., “Electric Field Phenomena in Fluidized and Fixed Beds,”Canadian J. Chem. Eng.,47, 50 (1969).
Kirko, I. M. and Filippv, M. V., “Standard Correlations for a Fluidized Bed of Ferromagnetic Particles in a Magnetic Field, Report F-21, Section on Physical Modeling,” Interinstitutional Scientific Conference on Applied Physics and Mathematical Modeling, Moscow (1959);Zh. Tek. Fiz.,30, 1081 (1960).
Massey, B. S., “Mechanics of Fluids,” 4th Ed., Van Nostrand Reinhold, London (1979).
Massimilla, L. and Donsi’, G., “Cohesive Forces between Particles of Fluid-Bed Catalysts,”Powder Tech.,15, 253 (1976).
Molerus, O., “Interpretation of Geldart’s Type A, B, C and D Pow ders by Taking into Account Interparticle Cohesion Forces,”Powder Tech.,33, 81 (1982).
Overbeek, J. Th, G., “Interparticle Forces in Colloid Science,”Powder Tech.,37, 195 (1984).
Richardson, J. F. and Zaki, W. N., “Sedimentation and Fluidization,”Trans. Inst. of Chem. Engrs,32, 35 (1954).
Rietema, K., “The Effect of Interparticle Forces on the Expansion of a Homogeneous Gas-Fluidized Bed,”Chem. Eng. Sci.,28, 1493 (1973).
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(6), 1627 (1990).
Rosensweig, R. E., “Fluidization: Hydrodynamic Stabilization with a Magnetic Field,”Science,206, 57 (April 1979a).
Rosensweig, R. E., “Magnetic Stabilization of the State of Uniform Fluidization,”I & EC Fund.,18(3), 260 (1979b).
Rowe, P. N., “A Convenient Empirical Equation for Estimation of the Richardson-Zaki Exponent,”Chem. Eng. Sci.,42, 2795 (1987).
Saxena, S. C. and Shrivastava, S., “Some Hydrodynamic Investigations of a Magnetically Stabilized Air-Fluidized Bed of Ferromagnetic Particles,”Powder Tech.,64, 57 (1991).
Saxena, S. C. and Shrivastava, S., “The Influence of an External Magnetic Field on an Air-Fluidized Bed of Ferromagnetic Particles,”Powder Tech.,45(4), 1125 (1990).
Seville, J. P. K. and Clift, R., “The Effect of Thin Layers on Fluidisation Characteristics,”Powder Tech.,37, 117 (1984).
Siegell, J. H., “Liquid-Fluidized Magnetically Stabilized Beds,”Powder Tech.,52, 139 (1987).
Siegell, J. H., “Magnetically Frozen Beds,”Powder Tech.,55, 127 (1988).
Siegell, J. H., “Radial Dispersion and Flow Distribution of Gas in Magnetically Stabilized Beds,”I & EC Proc. Des. Dev.,21, 135 (1982).
Slis, P. L., Willemse, Th. W. and Kramers, H., “The Response of the Level of a Liquid Fluidized Bed to a Sudden Change in the Fluidizing Velocity,”Appl. Sci. Res.,A8, 209 (1959).
Stanley, V. M. and Gabriel, G. S., “Electromagnetic Concepts and Application,” Prentice-Hall, N.J. (1982).
Verloop, J. and Heertjes, P. M., “Shock Waves as a Criterion for the Transition from Homogeneous to Heterogeneous Fluidization,”Chem. Eng. Sci.,25, 825 (1970).
Wallis, G. B., “One-Dimensional Two-Phase Flow,” McGraw-Hill, New York (1969).
Zenz, F. A. and Othmer, D. F., “Fluidization and Fluid-Particle Systems,” Reinhold (1960).
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Lee, WK., Jovanovic, G. & Kim, H.T. The effect of interparticle forces on fluidization regimes in the magnetized fluidized beds. Korean J. Chem. Eng. 16, 362–370 (1999). https://doi.org/10.1007/BF02707126
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DOI: https://doi.org/10.1007/BF02707126