Mixed convection boundary layer flow on a vertical surface in a saturated porous medium

Abstract

The flow of a uniform stream past an impermeable vertical surface embedded in a saturated porous medium and which is supplying heat to the porous medium at a constant rate is considered. The cases when the flow and the buoyancy forces are in the same direction and when they are in opposite direction are discussed. In the former case, the flow develops from mainly forced convection near the leading edge to mainly free convection far downstream. Series solutions are derived in both cases and a numerical solution of the equations is used to describe the flow in the intermediate region. In the latter case, the numerical solution indicates that the flow separates downstream of the leading edge and the nature of the solution near this separation point is discussed.

On the boundary-layer structure of cavity flow in a porous medium driven by differential heating

“…Similarity solutions of the boundary-layer equations on a heated horizontal wall have been discussed by Cheng & Chang (1976) and Chang & Cheng (1983), whilst boundary-layer flows on a heated vertical wall have been studied by Cheng & Minkowycz (1977), Merkin (1980), Ingham, Merkin & Pop (1982), Joshi & Gebhart (1984) and Ingham & Brown (1986). For confined flows, most previous work relates to the situation where motion is driven by maintaining the sidewalls of a rectangular cavity at different constant temperatures.…”

Transient MHD Mixed Double Diffusive Convection Along a Vertical Plate Embedded in a Non-Darcy Porous Medium with Suction or Injection

“…Before solving the system of equations (Nield and Bejan, 2006;Merkin, 1980;Hsieh et al, 1993) with the boundary conditions (Takhar and Beg, 1996) and initial conditions (Johnson and Ping, 1978) it can be noticed that the equation (Hsieh et al, 1993) is uncoupled with any of the momentum or energy equation, also Hartmann Ha, inertial Γand the mixed convection χ parameters do not affect the concentration and slightly affect the temperature so no figure of these variables is presented herein. Figure 2 shows the influence of the Hartmann number on the velocity profiles.…”

“…Most of the existing works on mixed convection flow over heated bodies embedded in fluid-saturated porous medium are concerned with steady state conditions (Merkin, 1980;Hsieh et al, 1993;Takhar and Beg, 1996). On the other hand, transient convection flow problems have not received as much attention.…”

Mixed Convection Boundary Layer Flow Embedded in a Thermally Stratified Porous Medium Saturated by a Nanofluid

“…The most basic and classical problem for natural convection in a porous medium is that of free convection past a vertical flat plate, which was first studied by Cheng and Minkowycz [7]. There are several numerical studies on the mixed convection flow in a porous medium, and we mention here those by Merkin [8,9], Harris et al [10,11], Nazar et al [12,13], Ping and I-Dee [14], and Ping [15].…”