Analytical analysis of magnetohydrodynamics mixed convection in a vertical microchannel in the presence of radiation
摘要
This study presents an analytical investigation of mixed convection flow within a vertically oriented microchannel subjected to a uniform transverse magnetic field, incorporating slip boundary conditions. The channel walls are assumed to undergo linear heating under thermal radiative flux. The analysis considers both aiding and opposing buoyancy forces. The effects of non-dimensional parameters (Hartmann number, radiation parameter, Knudsen number, Rayleigh number and Prandtl number) on velocity, temperature, and magnetic field profiles are explored, along with the Nusselt number (Nu) to assess heat transfer characteristics. Finding revels that increment in Rayleigh number lead to appear point of inflection on velocity profile which leads to un-stabilize the fluid flow, while Harmann number helps to stabilize the fluid flow. Elevated Knudsen numbers are associated with reductions in both velocity and temperature and highlighting rarefaction effects. The study also demonstrated that radiation parameter, Hartmann number, and Knudsen number influence the critical Rayleigh number which affecting flow stability. In opposing flow scenarios, velocity magnitudes become notably large within range [0 to