Abstract
An analysis is presented for the flow of non-Newtonian Williamson fluid due to permeable sheet. The recent modification of Fourier’s law of heat conduction, i.e. Model of Cattaneo-Christov heat flux is studied in present article to analysis 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 appropriate set of transformation and the resulting non-linear coupled system of ordinary differential equations are solved using robust Homotopy Analysis method. The influence of physical parameter 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 that the velocity profile is decelerating with increase in magnetic parameter. Increasing Darcy number accelerates the flow due to a corresponding rise in permeability of the regime and concomitant decrease in Darcian impedance.