Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model

Abstract

This article intends to establish numerical solutions to MHD flow of Upper-Convected Maxwell (UCM) fluid in a porous medium caused by nonlinear stretching surface. The model deployed for this purpose is the updated Fourier’s heat conduction model. In addition, nonlinear velocity slip condition is imposed and investigated. Finally the mixed convective effects near stagnation point in a porous medium were thoroughly observed and researched upon. This article aims at examining the impacts of such noteworthy parameters as the ‘Maxwell’, ‘thermal relaxation’ and the ‘velocity slip’ on the flow and heat transfer by making use of graphs and tables. By making use of certain appropriate similarity transformations, the governing equations are stripped off of their dimensionless existence and then solved through the shooting technique numerically. A decrement in the velocity whereas an accretion in the temperature distribution is witnessed regarding the larger values of the Maxwell parameter. Moreover, a rise in heat transfer rate for an augmentation in the thermal relaxation parameter is identified.