MHD stagnation point flow toward a linearly-stretching thermally-insulated sheet with induced magnetic field

TL;DR

This paper models the magnetohydrodynamic stagnation point flow toward a thermally insulated, linearly stretching sheet, incorporating magnetic field effects, viscous dissipation, and Joule heating, with numerical solutions illustrating the flow behavior.

Contribution

It formulates a self-similar model for MHD stagnation flow toward an insulated stretching sheet, including viscous and Joule heating effects, with numerical analysis of key parameters.

Findings

Flow characteristics depend on magnetic Prandtl number and interaction parameter.

Viscous dissipation and Joule heating significantly influence temperature distribution.

Numerical results demonstrate parameter effects on velocity and temperature profiles.

Abstract

The equations governing the magnetohydrodynamic stagnation point flow toward a non-conducting, thermally insulated, nonporous, linearly stretching sheet are cast in a self similar form. Consistent boundary conditions on the velocity, magnetic field and temperature are invoked. The flow problem involves three parameters- the magnetic Prandtl number, the magnetic interaction number, and the ratio of the stretching rate to the strength of the stagnation point flow. The energy equation includes viscous dissipation and Joule heating, and introduces the Prandtl number as a fourth parameter. Numerical solutions are obtained and sample results are presented.