Analytical modeling reveals that magnetic damping overrides radiative acceleration in conducting channel flows, suggesting improved stability control for nuclear fusion cooling systems.
Key Points
To analytically examine how thermal radiation, first-order chemical reactions, and convective boundary conditions influence the magnetohydrodynamic natural convection of an electrically conducting fluid between vertical parallel plates.
Formulated non-dimensional transport equations for fluid velocity, induced magnetic field, total induced current, temperature, and chemical concentration.
Derived exact closed-form analytical solutions using exponential and hyperbolic functions, incorporating the Biot number to represent Newtonian heating and cooling.
Hartmann number elevations significantly suppressed fluid motion, wall friction, and mass transport through the generation of opposing Lorentz forces.
The rate of heat transfer (Nusselt number) and mass transfer (Sherwood number) responded sensitively to the thermal radiation and chemical reaction parameters, respectively.
Magnetic braking effects systematically dominated and neutralized the fluid acceleration induced by thermal radiation.