Influence of heat carry on magnetohydrodynamics oscillatory flow for variable viscosity Carreau fluid through a porous medium

Abstract

Abstract This paper aims to study variable viscosity effects of mass transfer on the MHD oscillatory flow of the Carreau fluid through a porous channel. It is assumed that fluid viscosity varies with various temperatures. We studied two geometrical cases of the flow channel, the bottom plate is steady while the upper plate is given two cases (fixed and moves). We discussed the effect of several parameters that are effective in fluid movement by analyzing the graphs obtained after we reached the momentum equation solution using the perturbation series method to find the numerical results and illustrations.