Magnetized Thermal Boundary Layer Flow over a Vertical Plate under the Influence of Convective Boundary Conditions

Abstract

The research focuses on the investigate the impact of thermal buoyancy on laminar boundary layer flow and heat transfer around a vertical plate in a uniform fluid stream. The governing model describing the problem are transformed from nonlinear partial differential equations into coupled nonlinear ordinary differential equations using developed similarity variable, then the resulted ODE are solved numerically using shooting iteration technique and fourth-order Runge-Kutta integration. The effect of embedded flow parameters such as Prandtl number (Pr), local Grashof number (Gr), and convective heat transfer parameter (Bi) are graphed and tabulated. The impacted of flow parameters are investigated on the velocity and temperature profiles Our results validated through comparison with previously published studies and their is excellent agreement. Finding reveals that the thermal buoyancy significantly affects boundary layer flow and heat transfer.  Prandtl, Grashof number and Biot number values influence surface temperature and fluid-solid interface characteristics.