MHD flow and heat transfer due to the axisymmetric stretching of a sheet with induced magnetic field

TL;DR

This paper derives a self-similar solution for magnetohydrodynamic (MHD) flow and heat transfer caused by axisymmetric sheet stretching, analyzing the effects of magnetic parameters and heat flux contributions.

Contribution

It presents a novel self-similar formulation for MHD flow with induced magnetic fields, including numerical analysis of magnetic and thermal effects.

Findings

Magnetic Prandtl number and interaction number significantly influence flow and heat transfer.

Induced magnetic field alters velocity and temperature profiles.

Viscous dissipation, Joule heating, and diffusion impact heat flux toward the sheet.

Abstract

The full MHD equations, governing the flow due to the axisymmetric stretching of a sheet in the presence of a transverse magnetic field, can be cast in a self similar form. This allows evaluation of the induced magnetic field and its effect on the flow and heat transfer. The problem involves three parameters- the magnetic Prandtl number, the magnetic interaction number, and the Prandtl number. Numerical solutions are obtained for the velocity field, the magnetic field, and the temperature, at different values of the magnetic Prandtl number and the magnetic interaction number. The contributions of the viscous dissipation, Joule heating, and streamwise diffusion to the heat flux toward the sheet are assessed.