Finite-speed thermal transport and Lorentz force effects in buoyant convective flow: A Cattaneo–Christov approach

This mathematical model investigates the complexity of buoyant convective flow and heat transfer phenomena interaction under the impact of Cattaneo-Christov theory. The uniform and unidirectional flow of Newtonian fluid across a heated bi-directional stretchable surface is considered here with influence of Lorentz force. Transportation of thermal energy is studied under influence of heat source and buoyancy force. Mathematical model in form of PDEs governs the flow and heat transport mechanism is transformed into similar ODEs. Moreover, the resulting outcomes of problem are graphically visualized and compute via bvp5c-MATLAB built-in command. These results prove that higher magnitude of magnetic force declines the flow velocity to zero in lateral directions. While buoyant motion of fluid enhances when Grashof number increases. Higher value of Prandtl number declines the lateral components of flow field. To verify these results the comparison tables for initial and final values of flow velocity with the previous study are included in limiting case.