Abstract.In this paper, the numerical solutions of an oscillatory, viscous, electrically conducting, incompressible fluid stream past a fixed plane wall, are presented and compared with the analytical solutions studied by Poria et al [10]. The solutions of the problem, obtained by invoking an invariance principle, that satisfy the respective sets of boundary and initial conditions computed numerically by a finite difference method for different values of a magnetic parameter, are compared graphically with the analytical solutions and discussed.

Received: April 17, 2009

AMS Subject Classification: 65C20

Key Words and Phrases: MHD fluid flow, oscillating rigid plane wall, Stokes problem, Crank-Nicholson implicit scheme

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 53
Issue: 2