APPLICATION OF A DISCRETE VELOCITY MODEL TO THE BOLTZMANN EQUATION IN SHEAR FLOWS
TRW SPACE TECHNOLOGY LABS LOS ANGELES CA
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The application of a simple discrete velocity model to low Mach number Couette and Rayleigh flow is investigated. In the model, the molecular velocities are restricted to a finite set and in this study only eight equal speed velocities are allowed. The Boltzmann equation is reduced by this approximation to a set of coupled differential equations which are shown to be identical in form to those produced when the same approximation is applied to the Krook equation. The fluid velocity and shear stress in Couette flow are in approximate accord with those of Wang Chang and Uhlenbeck and of Lees over the complete range of Knudsen number.
- Fluid Mechanics