A two-phase mixture model of liquid-gas flow and heat transfer in capillary porous media-II. Application to pressure-driven boiling flow adjacent to a vertical heated plate

The two-phase mixture model developed in Part I is applied to investigate a pressure-driven two-phase boiling flow along a heated surface embedded in a porous medium. The general governing equations in Part I for the transport of mass, momentum and liquid (constituent) mass for the two-phase mixture are simplified for the above system. The present formulation, owing to its strong analogy to the classical description of multicomponent convective flows, suggests that a thin capillary layer exists over the solid surface at high Peclet numbers and that the two-phase flow is confined only to this boundary layer. Using approximations analogous to the classical boundary layer theory, a set of boundary layer equations for two-phase flow is derived and solved by a similarity transformation. The resulting ordinary differential equations are numerically integrated using a combination of the Gear stiff method and a shooting procedure. Numerical results for the saturation field and the flow fields of the two-phase mixture and the individual phases are presented and discussed.