Simulation of Thermal Transfer Attributes Under Varying Magnetic Fields Strain Influences and Viscous Energy Dissipation

This study investigates the mathematical modeling of impermeable fluid motion that conducts electricity, focusing on the effects of magnetism and chemical interactions on thermal energy, mass transfer, viscosity dissipation, and Soret-Dufour phenomena. These interactions are vital for advancements in technology, geophysical sciences, and biology, particularly in magnetohydrodynamics (MHD). The research describes the governing equations for momentum and energy conservation under varying magnetic fields and performs a numerical analysis of flow behavior influenced by viscous dissipation on a semi-infinite surface. The study employs a set of nonlinear coupled partial differential equations (PDEs) under specific boundary conditions, using a similarity transformation to convert these PDEs into simpler ordinary differential equations (ODEs). The resulting first-order simultaneous equations are solved using the boundary value solution (BVP-4c) technique in MATLAB. Results are illustrated through visual representations showing the impact of various parameters on velocity, temperature, and concentration contours, as well as variations in shear stress, Nusselt number, and Sherwood number coefficients. The primary aim is to explore the magnetic parameter (D) and stretching degree (n) concerning heat and mass transfer and chemical reaction characteristics such as Soret amount (Sr) and Dufour number. The findings reveal that changes in the magnetic field significantly affect heat and mass transport properties and enhance the efficiency of these processes in industrial and natural contexts. This study innovatively incorporates viscosity dissipation and chemical interactions into the MHD framework, thereby improving the predictive capability of fluid dynamics models in complex scenarios.