Steady flow of Burgers’ nanofluid over a stretching surface with heat generation/absorption

Abstract

Analysis has been conducted to analyze the steady free convection boundary layer flow of a Burgers’ nanofluid near a linear stretched sheet. The effects of the heat generation/absorption and nanoparticles on the flow are considered. Similarity transformations are presented to convert the coupled nonlinear partial differential equations into coupled nonlinear ordinary differential equations. The reduced coupled transformed boundary layer equations of Burgers’ nanofluid model are then solved analytically using the homotopy analysis method. The variations of the dimensionless velocity, temperature, and nanoparticle with various physical parameters, namely the Deborah numbers \( \beta_{1} \), \( \beta_{2}, \) and \( \beta_{3} \), the Prandtl number \( \Pr \), the Brownian motion parameter \( N_{\text{b}} \), the thermophoresis parameter \( N_{\text{t}}, \) and the Lewis number \( {\text{Le}} \) are graphed and discussed.