Viscous Dissipation and Joule Heating Effects on 3D Magnetohydrodynamics Flow of Williamson Nanofluid in a Porous Medium Over a Stretching Surface With Melting Condition

Abstract

The aim of the current article is to demonstrate heat transfer characteristics of Williamson nanofluid flow through a stretching surface with a porous medium in two lateral directions. Heat generation, nonlinear thermal radiation, viscous dissipation, Joule heating, and chemical reaction are also considered in time-independent boundary layer equations of heat and concentration. One more significant boundary condition is the melting condition which is introduced in this study for the purpose of more heat generation and suitable transformations by the satisfied continuity equation are selected, These are used to translate the coupled time-independent partial differential equations into a coupled nonlinear system of ordinary differential equations. The translated equations are computed as numerical solutions by utilizing the Runge–Kutta–Fehlberg (R–K–F) fourth-order algorithm with the help of a shooting procedure in matlab (bvp4) programming. The significance of physical emerging nondimensional parameters is predicted through graphs and discussed numerically in detail on mass of conservation, temperature, and concentration. The numerical values of the coefficient of the skin friction are displayed through a table with large enhanced values of nondimensional parameters and heat transfer rate explained in detail through graphs.