Ohmic heating offers versatile and efficient heating solutions in fluid flows across diverse industrial, medical, and environmental applications, contributing to enhanced process performance, product quality, and energy efficiency. Therefore, this article describes the impact of Ohmic heating on the time-dependent flow of an incompressible magnetized Jeffery fluid through a plane surface with a variable pressure gradient, with viscous dissipation also incorporated into the energy equation. This study presents a novel investigation of unsteady, pressure-driven Jeffery fluid flow under an inclined magnetic field with simultaneous Ohmic heating and viscous dissipation in a confined geometry, which has not been explored previously. Numerical simulations of the governing partial differential equations are performed using a finite difference method with successive over-relaxation. Results reveal that fluid velocity increases by up to 25% with higher Jeffery fluid parameters and decreases by 10–15% with stronger magnetic fields, while temperature rises by 18–22% due to combined Ohmic heating and viscous dissipation. Graphical representations provide insight into velocity and temperature patterns for various flow parameters. Comparisons with previously published results show excellent agreement, confirming the reliability of the numerical framework. These findings provide practical guidance for industrial and biomedical applications, including polymer extrusion, lubrication, glass and paper production, and cardiovascular flow studies, while quantitatively demonstrating the novel multi-physics interactions in Jeffery fluid flows.
Rafiq et al. (2026) studied this question.