Flow of Electrically Conducting Williamson Fluid with Cattaneo-Christov heat flux due to Permeable Sheet

Abstract

An analysis is presented for the flow of non-Newtonian Williamson fluid due to a permeable sheet. The recent modification of Fourier’s law of heat conduction, i.e., the Model of Cattaneo-Christov heat flux, is studied in the present article to analyze the heat flux. The permeable sheet undergoes suction, and the effect of Soret and Dufour is also investigated. The governing boundary layer equations are transformed into a non-dimensional form using an appropriate set of transformations, and the resulting non-linear coupled system of ordinary differential equations is solved using the robust Homotopy Analysis method. The influence of physical parameters affecting the velocity of fluid, heat, and mass transfer are discussed, and outputs are expressed in figures and tables. Some interesting results are found from the study: the velocity profile is decelerating with an increase in the magnetic parameter. Increasing Darcy number accelerates the flow due to a corresponding rise in permeability of the regime and concomitant decrease in Darcian impedance.