NUMERICAL ANALYSIS OF NON-NEWTONIAN FLUID FLOW OVER A CONTINUOUSLY STRETCHING SHEET INFLUENCED BY HALL CURRENT AND THERMAL RADIATION

Abstract

This study presents a numerical investigation of non-Newtonian fluid flow over a continuously stretching sheet under the combined influence of Hall current, and thermal radiation. A transverse magnetic field is applied to the electrically conducting fluid, and the governing equations for momentum and energy transfer are formulated under the boundary-layer assumptions. Suitable similarity transformations are employed to reduce the coupled nonlinear partial differential equations to a system of ordinary differential equations, which is solved numerically using the MATLAB bvp4c solver. The effects of the Hall parameter, magnetic parameter, thermal-radiation parameter, and Prandtl number on the velocity, and temperature, distributions are systematically examined. The corresponding skin-friction coefficient, Nusselt number, and Sherwood number are also evaluated to characterize the momentum, heat transfer rates. The results demonstrate that Hall current significantly modifies the flow field, while thermal radiation strongly influence the coupled thermal distributions. The findings provide useful insights into the control of coupled momentum, heat transfer in non-Newtonian MHD systems relevant to thermal processing, chemical engineering, electromagnetic applications, and advanced energy systems.