Effect of surface roughness on Electromagneto-hydrodynamic flow in a rough curved channel

Abstract

For a flow through an applied electric and magnetic field, the effect of surface roughness on the curved walls confining the flow is presented. The roughness is considered as a small perturbation to the smooth walls of the curved channel. The analytical expression of the pertinent volumetric flow rate is obtained through boundary perturbation method, where the
amplitude of the prescribed roughness is taken as the perturbation parameter. The study indicates that the overall effect of rough curved walls decreases as the electro-magnetic force increases over the viscous force.