Numerical Investigation of Heat Generation and Magnetohydrodynamic Flow of Fluid Over a Shrinking Infinite Long Cylinder Through Porous Medium

Abstract

The objective of the present study is to observe the magnetohydrodynamic flow and heat transfer for the fluid flow over a shrinking cylinder of time dependent radius in a cylindrical coordinate. The flow is induced by heat generation effect and suction effect on the walls of cylinder. The governing equations modelled in terms of partial differential equation are reduced to ordinary differential equations using suitable similarity transformation variables. A numerical technique, Iterative power series has been employed using Mathematica software to tackle the problem. The two solutions are acquired for momentum and temperature profiles, which never intersect. The physical behavior of the solution has been explored in terms of parametric analysis and graphical demonstration. The skin friction and Nusselt number of practical interests has been acquired and portrayed graphically. Furthermore, for both solutions, the temperature of the fluid rises with the suction and unsteadiness parameters. We also see that when the magnetic force increases, the second solution diminishes. Finally, at a given value of the suction parameter, the two solutions for skin friction coefficient converge to a single solution.