Thermo-mechanical analysis of non Newtonian peristaltic mechanism: Modified heat flux model

Abstract In this study, Cattaneo-Christov heat flux through non-Newtonian peristaltic flow in a two dimensional asymmetric channel is investigated. Non-Newtonian features are characterized by the constitutive relationships of the second order fluid. Series solutions are derived about wave number for highly nonlinear coupled equations. Detailed analysis of the emerging parameters of interest on the flow quantities is presented. Vanishing the relaxation time of Cattaneo-Christov heat flux model leads the results to a limiting case of Fourier’s law. It is concluded that in the vicinity of upper boundary convective heat transfer is dominant while at the centerline the conductive heat transfer is dominant. Further, non-Newtonian fluid film near the upper boundary faces severe friction while at lower boundary it goes through lesser friction. Wavy boundaries bring oscillatory nature in the heat transfer coefficient. Moreover, Cattaneo-Christov heat flux plays a vital role in the enhancement of fluid temperature above the centerline.