Analysis of a Steady MHD Mixed Convection Fluid Flow in a Microchannel within Permeable Walls with Suction and Injection Parameters

This research work focuses on the analysis of a steady fluid of a convection mixed flow within a permeable channel under the influence of suction and injection parameters. The fluid is presumed to be incompressible, and an existing model was used to formulate the governing equations with appropriate boundary conditions. The governing equations directing the flow system are modeled, non-dimensionalized, and transformed into ordinary differential equations where appropriate methods were used to solve the momentum and energy equations analytically. Solutions for momentum and energy equations of the incompressible fluid are presented graphically to display the impact of various thermos-physical parameters. The results revealed the significant effect of the magnetic strength reducing the fluid flow with increasing magnetic field strength values, which is due to the presence of electromagnetic force in the flow regime. Also, the pressure acts normally inward from the fluid towards the surface, the result reveals that an increase in the pressure gradient increases the fluid flow due to the suction and injection parameters with the presence of magnetic field strength, and an increase in Reynolds number decreases the flow regime. Meanwhile, an increase in the Prandtl number, Eckert number, and pressure gradient increases the fluid temperature within the permeable microchannel walls.