Numerical Investigation on Forchheimer MHD Non- Newtonian Fluid over an Exponential Stretching Sheet with Joule and Viscous Dissipation

We investigate the synergistic consequences of Ohmic heating and viscous degradation on unsteady MHD flow across an extensible sheet immersed in fluid with pores. For the various assumptions on the real problem, a physical model led us to a non-linear coupled partial differential equation which is then transformed to ordinary differential equation using similarity technique. The computational work is carried out using shooting technique compresses of Runge-Kutta-Felhberg method with Newton-Raphson iterative scheme to solve the non-linear coupled ordinary differential equations with converting a boundary value problem to initial value problem by choosing a guess value. A study is conducted on governing parameters, including the Biot number, Weissenberg number, Eckert number, Joule consequences, unsteadiness, and Forchheimer number. Graphics are used to show how these characteristics affect concentration, velocity, and temperature.