Abstract

In this article flow of a classical non-Newtonian fluid, Reiner–Philippoff fluid, in the presence of nano-particles over a non-linear stretching sheet is studied numerically. The mathematical model incorporates the non-linear stress-deformation behavior for Reiner–Philippoff fluid and Brownian motion and thermophoresis effects due to nanoparticles. The correlation expressions for skin friction, Nusselt number and Sherwood number are developed by performing linear regression on the obtained numerical data. The effects of nano-particles and Reiner–Philippoff fluid are discussed on the skin friction, Nusselt number and Sherwood number. It is observed that skin friction for dilatant fluids is higher than pseudoplastic fluids and temperature and nanoparticles concentration fluxes at the surface increase with an increase in Reiner–Philippoff fluid parameter.

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