RÉSUMÉ

A continuum model for two-phase (fluid/particle) flow induced by natural convection is developed and applied to the problem of steady natural convection MHD flow of a 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 heat flux, while the other is maintained at a constant temperature. The boundary conditions borrowed from the rarefied gas dynamics are employed for the particle-phase wall velocity conditions. Various closed-form solutions for different special cases are obtained. 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.