MHD NATURAL CONVECTIVE FLOW OF A PARTICULATE SUSPENSION THROUGH A VERTICAL CHANNEL AT ASYMMETRIC THERMAL BOUNDARY CONDITIONS WITH HEAT GENERATION OR ABSORPTION

摘要

In this paper, a continuum model for two-phase (fluid/particle) flow induced by natural convection buoyancy effects is developed and applied to the problem of steady natural convection MHD flow of a two-phase particulate suspension through an infinitely long vertical channel in the presence of heat generation or absorption effects. The walls of the channel are heated asymmetrically such that one of the channel walls is maintained at a constant temperature while the other wall is maintained at constant heat flux. Particle-phase viscous effects are included in the model. While proper boundary conditions for a particle phase are unknown at present, boundary conditions borrowed from rarefied gas dynamics are employed for the particle-phase wall velocity conditions. Various closed-form solutions for different special cases of the problem are reported. A parametric study of some physical parameters involved in the problem is done to illustrate the influence of these parameters on the flow and thermal aspects of the problem.