Heat transfer in MHD flow due to a linearly stretching sheet with induced magnetic field

TL;DR

This paper investigates the combined effects of magnetic fields, heat transfer, and physical phenomena like viscous dissipation and Joule heating on flow over a stretching sheet, providing a comprehensive self-similar analysis.

Contribution

It introduces a self-similar formulation of the MHD flow with induced magnetic field, including previously neglected physical effects, and explores various boundary conditions.

Findings

Induced magnetic field significantly affects flow and heat transfer.

Physical effects like viscous dissipation and Joule heating are important in the model.

Self-similar solutions are obtained for different flow parameters.

Abstract

The full MHD problem of the flow and heat transfer due to a linearly stretching sheet in the presence of a transverse magnetic field is put in a self-similar form. Traditionally ignored physical processes such as induced magnetic field, viscous dissipation, Joule heating, and work shear are included and their importance is established. Cases of prescribed surface temperature, prescribed heat flux, surface feed (injection or suction), velocity slip, and thermal slip are also considered. The problem is shown to admit self similarity. Sample numerical solutions are obtained for chosen combinations of the flow parameters.