Abstract
The local Glandsdorff-Prigogine potential is formulated for an isothermal fluidized bed. It is shown that this variational formulation makes it possible to describe the hydrodynamics of a fluidized bed on the basis of a numerical solution of the problem of minimizing the resulting local potential for the case of a two-dimensional bed.
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R.I. Nigmatulin, PMM,34, No. 6 (1970).
J. D. Murray, J. Fluid Mech.,21, Part 3 (1965).
R. S. Schechter, The Variational Method in Engineering, McGraw-Hill, New York (1971).
P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability, and Fluctuations, Wiley-Interscience, New York (1971).
S. G. Mikhlin, Numerical Methods for the Variational Approach [in Russian], Nauka, Moscow (1966).
S. S. Zabrodskii, Hydrodynamics and Heat Transfer in a Fluidized Bed [in Russian], Gosénergoizdat (1963).
M. É. Aérov and O. M. Todes, Basic Hydraulics and Thermodynamics of Systems with a SteadyState Boiling Particle Bed [in Russian], Khimiya (1968).
A. V. Fiacco and G. P. McCormick, Nonlinear Programming, Wiley, New York (1972).
A. I. Tamarin, D. M. Galershnein, S. S. Zabrodskii, R. R. Khasanov, and V. P. Borisenko, Inzh.-Fiz. Zh.,23, No. 4 (1972).
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 27, No. 2, pp. 223–230, August, 1974.
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Tamarin, A.I., Teplitskii, Y.S. Variational formulation of the hydrodynamics of a concentrated gas-solid system at high archimedes numbers. Journal of Engineering Physics 27, 933–938 (1974). https://doi.org/10.1007/BF00861597
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DOI: https://doi.org/10.1007/BF00861597