Thermocapillary-driven thin film flow with Joule heating and slip in a magnetized porous medium

This study analyzes the unsteady thermocapillary-driven thin liquid film flow over a linearly stretching surface embedded in a magnetized porous medium. The model simultaneously incorporates nonlinear thermal radiation, Joule heating, viscous dissipation, velocity slip, and variable heat generation/absorption, providing a comprehensive framework for coupled momentum and heat transfer phenomena. Similarity transformations reduce the governing partial differential equations to nonlinear ordinary differential equations, which are solved numerically using MATLAB’s bvp4c solver. Results indicate that increasing the thermocapillary number significantly suppresses the temperature distribution and reduces thermal boundary layer thickness, thereby enhancing surface cooling. A stronger magnetic parameter decreases fluid velocity near the surface due to the Lorentz force, leading to higher flow resistance and improved film stability. Joule heating and viscous dissipation elevate the temperature field and increase thermal boundary layer thickness, whereas nonlinear thermal radiation intensifies heat transfer rates. The slip parameter reduces wall shear stress and enhances fluid mobility, while porous medium resistance attenuates both velocity and heat transfer. Variations in governing parameters produce marked changes in skin friction and Nusselt number, demonstrating controllable thermal performance. These findings are relevant to coating technologies, polymer extrusion, microelectronic cooling systems, thin-film materials processing, and magnetically controlled thermal management applications.

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