Laminar Flow of an Electrically Conducting Incompressible Fluid Between Walls in the Presence of a Transverse Magnetic Field

Abstract

Magnetohydrodynamic laminar flow of an electrically conducting, viscous, incompressible fluid between two wavy walls, whose equations are taken in the form of Fourier Series, has been investigated under the assumptions that epsional, the coefficient of roughness and R, the Reyond's number of the flow, are small. The stream function has been determined to the first order in epsional. For numerical investigation, the walls are considered to have the sinusoidal deformation. The velocity profiles for the longitudinal and the transverse velocities are drawn at various cross sections for M=0,1,2,epsional=0.5, R=0.1 and P/sub c,x/ R/sup 2/=0.1.