Nonlinear radiative heat transfer of magnetohydrodynamic non-newtonian fluid flow past a shrinking sheet: Reiner–Philippoff model

Abstract

This study aims to analyse the effect of MHD and nonlinear thermal radiation on heat transfer of Reiner–Philippoff fluid flow over a shrinking sheet. By adopting appropriate similarity transformations, the partial derivatives of multivariable differential equations are transformed into the similarity equations of a particular form. The resulting mathematical model is elucidated in MATLAB software using the bvp4c technique. The findings reveal the existence of dual solutions for a certain range of physical parameters. Since the dual solutions are established, stability analysis is employed to examine their stabilities. The outcomes show that the first solution is stable whereas the second solution is unstable. Moreover, the heat transfer rate reduces as the nonlinear thermal radiation is introduced in the operating fluid by increasing the temperature ratio parameter. However, increasing the magnetic parameter raises the friction factor which impulsively improves the heat transfer performance. The suction effect has a noticeable influence on the Reiner–Philippoff fluid, where increasing the suction strength enhances the skin friction coefficient and the heat transfer performance.