Fully Developed Mixed Magnetohydrodynamic Convection in a Vertical Square Duct

Abstract

The fully developed flow of an electrically conducting, internally heated fluid in a vertical square duct under the influence of buoyancy and magnetohydrodynamic forces is studied. The flow being parallel, the governing equations are two-dimensional and linear; an analytical solution exists for temperature, while velocity and electric potential are computed by a finite difference technique under different electric boundary conditions, forced to natural convection intensity ratios and values of the magnetic induction. Limiting values of pressure gradient and mean velocity are determined for the flow to be unidirectional throughout the duct's section; recirculation occurs for intermediate values of these quantities.

Notes

Current address: Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, UK.