Numerical Study of Steady Flow in a Two-Dimensional Rectangular Channel with an Asymmetric Velocity Input Profile

Download or read book Numerical Study of Steady Flow in a Two-Dimensional Rectangular Channel with an Asymmetric Velocity Input Profile written by Paul G. Hershall and published by . This book was released on 1974 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-dimensional, viscous, incompressible, steady flow in a semi-infinite rectangular channel is investigated numerically. A given jet with asymmetrical velocity profile is assumed at the inlet and fully developed flow is assumed at an infinite distance downstream. Using the split Navier-Stokes equation, with stream function and vorticity as dependent variables, central differences are used to set up difference equations. These are relaxed in the Gauss-Seidel mode with the aid of two relaxation factors for each equation and a maximum-number-of-iterations parameter for each equation. The optimum convergence rate is investigated empirically as a function of these six parameters. Convergence is obtained in this way up to Reynolds number 200 and optimum sets of values are given for (R sub e) = 1, 10, 50, and 200.