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  • 1
    Electronic Resource
    Electronic Resource
    Non-Darcy Free Convection Along a Horizontal Heated Surface (1997)
    Springer
    Transport in porous media 29 (1997), S. 309-321 
    Details
    ISSN: 1573-1634
    Keywords: Non-Darcy ; free convection ; horizontal surface ; fluid inertia
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract In this paper we analyse how the presence of inertia (Forchheimerform-drag) affects the steady free convective boundary layer flow over anupward-facing horizontal surface embedded in a porous medium. The surfacetemperature is assumed to display a power-law variation,x n with distance from the leading edge, x. It is shown thatthere are three distinct cases to consider: n〈0.5, n=0.5 and0.5〈n≤2. In the first case inertia dominates the flow near the leadingedge, but its effect wanes downstream. The boundary layer is self-similar inthe second case with the resulting profiles being dependent on the strengthof the inertia effect. In the third case, inertia effects grow withincreasing distance from the leading edge, and the boundary-layer thicknessis greater than when inertia is absent.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006542410627
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  • 2
    Electronic Resource
    Electronic Resource
    An Analytical Study of Free Convective Boundary-Layer Flow in Porous Media: The Effect of Anisotropic Diffusitivity (1997)
    Springer
    Transport in porous media 27 (1997), S. 289-304 
    Details
    ISSN: 1573-1634
    Keywords: free convection ; boundary layer ; anisotropy.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract The effect of an anisotropic thermal diffusivity tensor on the free convective boundary-layer flow in porous media is studied. Convection is induced by a generally inclined, uniformly heated surface embedded in a fluid-saturated medium. A third-order boundary-layer theory is presented in order to obtain accurate information on the effect of anisotropy on the rate of heat transfer into the porous medium. It is shown that the thickness of the resulting leading order boundary-layer flow depends on the precise nature of the anisotropy. On the other hand, the anisotropic diffusivity does not induce a fluid drift in the spanwise direction, a result which is different from that obtained in our earlier study of the effects of an anisotropic permeability. It is found that the second order temperature field does not contribute to the overall rate of heat transfer. Finally, we show that the third-order correction to the leading-order rate of heat transfer is given in terms of an explicit formula.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1006576911797
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