Calculation of Nonuniform Fluid Flows in a Gravity Field

2020 ◽  
Author(s):  
N. F. Dimitrieva
Keyword(s):  
Gravity Field ◽  
Fluid Flows ◽  
Nonuniform Fluid

Macroscopic Streamline Integral Relations for Two-Phase Flows

1975 ◽  
Vol 42 (4) ◽  
pp. 766-770 ◽  
Author(s):  
D. A. Drew
Keyword(s):  
Pressure Drop ◽  
Numerical Scheme ◽  
Flow Model ◽  
Fluid Flows ◽  
Phase Flow ◽  
Two Phase ◽  
Nonuniform Fluid ◽  
Flow Through ◽  
Net Flux ◽  
Integral Relations

A spout-fluidized bed is an example of a situation where a nonuniform fluid flow through a bed of particles causes particle circulation. Several integral relations are derived from a steady, two-dimensional two-phase flow model. The vorticity of the particle motion enclosed by a particle streamline is shown to be equal to the fluid vorticity enclosed by that streamline. The net flux of fluid vorticity through a particle streamline is shown to be equal to zero. The pressure drop along a fluid streamline is related to the net drag force along that streamline. The net flux of particle vorticity through a fluid streamline is given in terms of the pressure drop. Implications of these relations to the mechanics of particle-fluid flows are discussed. Relations giving the particle vorticity in terms of an integral of the fluid vorticity, and vice versa, are presented. A possible numerical scheme for calculation of the flow fields is discussed.

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