A bound for the topological entropy of homeomorphisms of a by Biryukov O.N.

By Biryukov O.N.

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Under conditions of equilibrium, we have: fi + f g = O. 1) For the case of essentially spherical particles and Newtonian fluids, U t can be readily estimated from this relation over the entire flow regime of relevance to the fluidization process. The creeping flow regime A rigorous solution exists for fi for the limiting condition of very low fluid flow rates around a sphere- in which the fluid streamlines follow the contours of the sphere, with no separation at the upper surface (the so called creeping flow regime).

1 i 10. 3 Terminal Reynolds number as a function of Archimedes number. 832Ar~176 2. 8), enables Ret, and hence ut, to be estimated for any system for which the particle diameter and density and the fluid density and viscosity are known. 3. E. N. (1960). Transport Phenomena. Wiley. M. (1948). Micromeritics. Pitman. Proudman, I. A. (1956). Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder. J. , 2, 237. 13 -luid flow through particle beds The upper fluid velocity limit for fluidization, ut, was examined in the previous chapter.

E. N. (1960). Transport Phenomena. Wiley. M. (1948). Micromeritics. Pitman. Proudman, I. A. (1956). Expansions at small Reynolds numbers for the flow past a sphere and a circular cylinder. J. , 2, 237. 13 -luid flow through particle beds The upper fluid velocity limit for fluidization, ut, was examined in the previous chapter. We now turn to the lower limit, below which the particles are stationary and in direct contact with their neighbours. Under these conditions the interaction force is insufficient to support the weight of the particles; all that happens is that the fluid, as it rises through the bed, loses energy due to frictional dissipation, resulting in a loss of pressure that is greater than can be accounted for by the progressive increase in gravitational potential energy.

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