Dual slip effects on mixed convective MHD flow with viscous dissipation and Joule heating past an unsteady exponentially stretching sheet

Abstract

This study aims to conduct a quantitative examination of the dynamic behaviour of a two-dimensional mixed convection unsteady flow with magnetohydrodynamics (MHD) effects over an exponentially stretching sheet submerged in a permeable medium. In addition to the temperature and velocity slip conditions at the boundary, the study takes into account a number of other variables, including suction or blowing effects, viscous dissipation, heat production or absorption, Joule heating, and thermal radiation. The first step in solving this intricate issue is to apply the necessary similarity transformation to convert the controlling partial differential equations into a set of linked nonlinear ordinary differential equations (ODEs). Subsequently, numerical techniques implemented in MATLAB, particularly employing the bvp4c solver, are utilized to solve the reduced equations. This approach facilitates the exploration of the system's behaviour under different parameter regimes, shedding light on the underlying physical phenomena. The study utilizes both graphs and tables to examine how different parameters affect temperature, velocity, skin-friction coefficients, and Nusselt numbers. Increasing the velocity slip parameter slows down heat transfer and raises skin-friction coefficients, while higher thermal slip parameters reduce heat transmission rates.