MHD Flow from a Vertical Porous Plate in Presence of Heat Source

Aim: With a heat source present, this analytical study aims to examine the thermal radiation affects the unsteady MHD free convective mass transfer flow through a semi-infinite vertical porous plate with a changing suction velocity.

Study Design: On this plate, a uniform transverse magnetic field is applied perpendicularly. The non-dimensional governing equations are resolved by applying a simple perturbation technique.

Place and Duration of Study: Department of Mathematics, The Assam Royal Global University, Guwahati, Assam between January 2024 to August 2024.

Methodology: We allow an infinite vertical porous plate to be passed by a viscous, incompressible fluid that is optically thin. The X-axis is introduced along the infinite vertical plate, the Y-axis is normal to the plate, and the Z-axis is along the width of the plate in a Cartesian coordinate system (x′,y′,z′). At the beginning, the fluid and plate were both at the same temperature (T′∞) and concentration (C′∞) throughout. The concentration level at the plate increased to C′w at time t′>0, and the plate temperature was abruptly increased to T′w. The plate is subjected to a normal magnetic field that is consistent. The semi-infinite plane surface assumptions cause all the flow variables, with the exception of pressure, to be functions of only y′ and t′.

Results: When the Grashof number Gr rises, the fluid velocity increases, but when the Hartmann number M rises, it decreases. In the presence of a heat source S, the fluid temperature drops as the radiation parameter Q and Prandtl number Pr grow.When the Soret number (Sr) increases, the species concentration at the boundary layer increases, but when the chemical reaction parameter (Kr) increases, it drops.

Conclusion: From the work we have concluded that in presence of heat source, the fluid temperature drops with the increament of Prandtl number and Radiation parameter.