Haar wavelet scrutinization of heat and mass transfer features during the convective boundary layer flow of a nanofluid moving over a nonlinearly stretching sheet

Abstract In this study, we investigate steady-state convective boundary layer fluid flow of heat and mass transfer features of a nanofluid moving over a nonlinearly stretching sheet in detail. The nanofluid physical model of the problem comprises with effects of thermophoresis and Brownian motion. The mathematical model scrutinizes mass, momentum and heat transfer equations are reduced to ordinary differential equations over infinite domain using suitable similarity variables. Haar wavelet collocation method is used to solve the resulting coupled nonlinear ordinary differential equations with an infinite domain. The obtained results are validated with available numerical findings and the solutions are more efficient which confirm and verify the wavelet method. The impact of several interesting physical aspects viz. thermophoresis parameter, stretching parameter, Brownian motion and Schmidt number on nanoparticle volume fraction and temperature profile curves are graphically demonstrated. The derived quantities of various parameters on the rate of heat and mass transfer are depicted in tabular forms. It predicts that the increase in Brownian motion and thermophoresis parameter reduces the local Nusselt number. The local Sherwood number increases with an increase in the parameters of Brownian motion and thermophoresis. For both temperature and volume fraction profiles decreases due to an increase in the Schmidt number.