Time-Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition

The current study examined the effects of magnetohydrodynamics (MHD) on time-dependent mixed convection flow an exothermic fluid in a vertical channel. Convective heating and Navier’s slip conditions are considered. dimensional nonlinear equations transformed into dimensionless form with suitable transformation. For steady-state formations, we apply homotopy perturbation approach. However, for unsteady-state governing equation, use numerical technique known as implicit finite difference Flow is influenced by several factors, including Hartmann number, Newtonian heating, Navier parameter, Frank-Kamenetskii parameter. Shear stress heat transfer rates were also investigated reported. solutions visually expressed terms velocity temperature profiles. Due to presence opposing force factors such Lorentz force, research found that number reduces momentum profile. Fluid increase thermal Biot parameter increase. There scientific infrastructure capabilities this type flow, solar communication systems exposed airflow, electronic devices cooled at room nuclear units maintained during unscheduled shutoffs, cooling occurring low circumstances. findings literature very consistent, which recommend application study.