Abstract
This paper investigates the influence of magnetohydrodynamics oscillatory flow for Carreau fluid through regularly channel with varying temperature for two types of geometries "Poiseuille flow and Couette flow". The fluid is assumed to be non-Newtonian, namely Carreau fluid. The governing equations are solved analytically by the perturbation method. The study is intended to calculate the solution for the small number of Weissenberg number to get clear forms for velocity field by assisting the (MATHEMATICA-11) program to obtain the numerical results and illustrations. The physical features of Darcy number, Reynolds number, Peclet number, magnetic parameter, Grashof number and radiation parameter are discussed simultaneously through presenting graphical discussion. The velocity and temperature fields are discussed with different values of involved parameter with the help of graphs.
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