Mixed convection heat transfer from a vertical heated plate embedded in a sparsely packed porous medium. (English) Zbl 1196.76075
Summary: An improved numerical study on mixed convection from a heated vertical plate embedded in a Newtonian fluid saturated sparsely packed porous medium is undertaken by considering the variation of permeability, porosity and thermal conductivity. The boundary layer flow in the porous medium is governed by the Lapwood- Forchheimer-Brinkman extended Darcy model. Similarity transformations are employed and the resulting ordinary differential equations are solved numerically by using a shooting algorithm with the Runge-Kutta- Fehlberg integration scheme to obtain velocity and temperature distributions. Besides, the skin friction and Nusselt number are also computed for various physical parameters governing the problem under consideration. It is found that the inertial parameter has a significant influence on decreasing the flow field, whereas its influence is reversed on the rate of heat transfer for all values of permeability parameter considered. Further, the results under the limiting conditions were found to be in good agreement with the existing ones.
MSC:
76R05 | Forced convection |
76R10 | Free convection |
76S05 | Flows in porous media; filtration; seepage |
76M20 | Finite difference methods applied to problems in fluid mechanics |
80A20 | Heat and mass transfer, heat flow (MSC2010) |