Numerical scheme for steady viscous gas flows
Abstract
The method of successive approximations is used to calculate steady viscous gas flow on the basis of the KrookBhatnagarGross model for collision processes in gases. The transport equation is integrated on a tetrahedral element. Numerical results are obtained for flow of air in a cylindrical pipe at Knudsen number of 0.365, Reynolds number of 0.548, and Mach number of 0.119. The gas velocity along the cylinder axis is obtained, and the increased velocity in the center of the pipe due to deceleration of the subsonic flow at the walls is revealed.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 April 1978
 Bibcode:
 1978ZVMMF..18..507B
 Keywords:

 Gas Dynamics;
 Iterative Solution;
 Steady Flow;
 Subsonic Flow;
 Viscous Flow;
 Boltzmann Transport Equation;
 Cauchy Problem;
 Convergence;
 Knudsen Flow;
 Least Squares Method;
 NavierStokes Equation;
 Pipe Flow;
 Prandtl Number;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer