A Numerical Solution of Viscous Compressible Flow in Slender Channels

摘要

Procedures and results are given for the numerical solution of viscous compressible flow in a slender channel. The results are compared with an exact solution developed through similarity. Two methods, normal implicit method and Crank-Nicolson method, were attempted in the numerical solution. The Crank-Nicolson method was found to be superior to the normal implicit method. The normal implicit method did have the advantage of requiring less computation time since the momentum and energy equations were solved separately by two sets of (N-2) equations with (N-2) unknowns. The normal implicit method also made possible the use of a smaller transverse grid size.