Locally non-similar and thermally radiative Sisko fluid flow with magnetic and Joule heating effects

Abstract

Abstract The locally non-similar solutions of Sisko fluid for boundary layer flow in the presence of thermal radiation and magnetic field have been presented. Further, heat transfer analysis is carried out in the presence of Joule heating. Three equations model for Sisko fluid flow and heat transfer over a moving surface is modeled while using Sparrow-Quack-Boerner local non-similarity method (LNSM). The numerical computation is performed to explore the impacts of different physical parameters which are responsible for controlling the flow and heat transfer. Specifically, the impact of magnetic field introducing a decreasing velocity profile and force balance boundary layer thickness and increasing the temperature profile as well as thermal boundary layer thickness, respectively for shear-thinning as well as shear-thickening fluids. However, the growing parallel values of material parameter ( A ) and streamwise coordinate ( ξ ) increases the velocity profile significantly for both pseudo plastic ( 0 n 1 ) fluid as well as dilatant ( n > 1 ) fluid. For the same parameters, an opposite trend is noticed for the temperature distribution. Additionally, with a fixed value of streamwise coordinate along with the increasing variation in Eckert number ( Ec ) and radiation parameter ( R d ) , the temperature profile is founded with enhancement conduct. Comparisons in the form of local skin friction (resistive forces) and the local Nusselt number (rate of heat transfer) are determined in excellent correlation with the previous published results in the limiting cases.