%0 Journal Article %A El-Kholy, Salah Abd El-Aziem %A Gorla, R.S.R. %D 2010 %I Begell House %N 1 %P 31-41 %R 10.1615/InterJFluidMechRes.v37.i1.30 %T The Onset of Heat Transfer in Multiple Layers %U https://www.dl.begellhouse.com/journals/71cb29ca5b40f8f8,4de302d601a8d338,2c6eb08f26c54125.html %V 37 %X The onset of convection in a system consisting of a horizontal fluid layer and a layer of porous media saturated with the same fluid, with heating from below, are considered. The two surfaces are rigid. A solution is obtained under parallel flow assumption for constant-flux thermal boundary conditions for which the onset of cellular convection occurs. The critical Rayleigh number and Nusselt number depend on the depth ratio η, the thermal conductivity ratio k, and the Darcy number Da. Results are given for a range of values of each of the governing parameters. The results are compared to limiting cases of the problem for standard terrestrial conditions or microgravity and are found to be in good agreement. %8 2010-03-25