MHD flow and heat transfer due to a linearly stretching sheet with induced magnetic field: Exact solution

TL;DR

This paper presents an exact analytical solution for magnetohydrodynamic (MHD) flow and heat transfer over a linearly stretching sheet, incorporating induced magnetic fields and complex thermal effects including viscous dissipation and Joule heating.

Contribution

It provides explicit solutions for velocity, induced magnetic field, and temperature components, advancing understanding of MHD flows with thermal effects over stretching surfaces.

Findings

Explicit velocity and magnetic field solutions.

Temperature solutions involving Kummer's function.

Inclusion of viscous dissipation and Joule heating effects.

Abstract

The solution for the MHD flow, due to a linearly stretching sheet, has a simple form for the velocity field, with a companion simple form for the induced magnetic field. The associated thermal problem, including viscous dissipation and Joule heating, involves three temperature constituents, the solutions for two of which are obtained in terms of Kummer's function. The solution for the third temperature constituent is obtained in a convergent series form.