Thermal convection of hydromagnetic tangent hyperbolic fluid in spinning porous media cone of non-isothermal power-law model with radiation and heat gain

The interest in enhancing industrial output and improving its efficiency has stimulated investigation into various fluid flow characteristics under diverse conditions and geometries. The performance of industrial products depends largely on the quality of the base materials. As such, this study examines the thermal convection of hydromagnetic flow of a tangent hyperbolic fluid within a spinning porous media cone, subjected to a non-isothermal power-law temperature distribution. The viscoelastic property and the nonlinear behavior of the fluid flow embodied the Cauchy stress tensor of the tangent hyperbolic model. The flow is influenced by gravity, porous saturated spinning cone medium, and transverse magnetic field, which stimulates internal heating. Without fluid material deformation, a mathematical differential model is developed to describe the momentum and energy flow dimensions. A comprehensive analysis of the transformed theoretical model is conducted using the Galerkin-weighted residual method in the presence of radiative heat transfer and heat gain. It was revealed from the study that, a rise in the magnetic field intensity inspires Joule heating, increasing the fluid heat distribution and influencing the boundary layer viscosity. Also, radiative heat transfer moderating prompts temperature profile due to convective heat gain. Hence, this study contributes to enhancing the understanding and control of thermal management in industrial applications, such as in cooling technologies for energy systems and rotating machinery.