Cross-diffusion effects of viscous heating hydromagnetic Casson fluid flow in permeable vertical media with radiation and heat loss

Abstract

This investigation is on Casson fluid transport's cross-diffusion and thermal dissipation along an oscillatory semi-infinite vertical geometry and the angled magnetic field. The study's novelty lies in the simultaneous consideration of viscous heating, cross-diffusion, and hydromagnetic effects in a Casson fluid model with heat loss an aspect scarcely addressed in previous studies. This research provides a comprehensive framework for understanding complex thermal-fluid interactions in industrial applications such as polymer processing, geothermal energy systems, and porous media heat exchangers. The complex partial differential equations (PDEs) system is converted into highly non-linear PDEs via non-dimensionalization variables. The nonlinear differential equations are solved by the numerical technique finite difference method (FDM) with suitable conditions. The flow, thermal, and concentration fields are examined for the obtained physical terms via graphical illustration. The skin friction, temperature, and mass gradients are evaluated graphically at the plate surface. As noticed, the temperature and mass buoyancy forces raised the stream rate field, but the Casson parameters have shown the opposite influence. The skin friction is strengthened by the porosity parameter but decreased with magnetic field and thermal and mass buoyancy forces. The viscous dissipation, heat absorption, and Dufour effects raised the heat gradient. The mass gradient is boosted with the Soret number, and the chemical reaction exposed the opposite trend. Finally, the investigation outcomes are meticulously verified with formerly reported results in an asymptotic situation.