Heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium in the presence of chemical reaction and radiation

Abstract

In this study, heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium in the presence of chemical reaction and radiation is theoretically investigated. The governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations via Lie group analysis. Numerical solutions of these equations are obtained by Runge-Kutta fourth order method along with shooting technique and the results obtained for different governing flow parameters are drawn graphically and their effects on velocity, temperature and concentration profiles are discussed. The reduced Nusselt number and reduced Sherwood number are presented in tabular form. It is noted that the reduced Nusselt number increases with the increase of Prandtl number but the reduced Sherwood number decreases. The effect of temperature jump parameter decreases the reduced Nusselt number and reduced Sherwood number.