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  • 1
    Digitale Medien
    Digitale Medien
    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
    Schlagwort(e): free convection ; boundary layer ; anisotropy.
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Geologie und Paläontologie , Technik allgemein
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1006576911797
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  • 2
    Digitale Medien
    Digitale Medien
    The effect of anisotropic permeability on free convective boundary layer flow in porous media (1995)
    Springer
    Transport in porous media 19 (1995), S. 79-92 
    Details
    ISSN: 1573-1634
    Schlagwort(e): Porous medium ; convection ; boundary layer ; anisotropy ; permeability
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Geologie und Paläontologie , Technik allgemein
    Notizen: Abstract The effect of an anisotropic permeability on thermal boundary layer flow in porous media is studied. The convective flow is induced by a vertical, uniformly heated surface embedded in a fluid-saturated medium. A leading-order boundary layer theory is presented. It is shown that the thickness of the resulting boundary layer flow is different from that obtained in an isotropic porous medium. In general, an anisotropic permeability induces a fluid drift in the spanwise direction, the strength of which depends on the precise nature of the anisotropy. Conditions are found which determine whether or not the boundary layer flow is three-dimensional.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF00716050
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  • 3
    Digitale Medien
    Digitale Medien
    Non-Darcy natural convection from a vertical wavy surface in a porous medium (1995)
    Springer
    Transport in porous media 20 (1995), S. 223-234 
    Details
    ISSN: 1573-1634
    Schlagwort(e): Porous medium ; convection ; boundary layer ; nonsimilarity ; inertia ; surface waves
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Geologie und Paläontologie , Technik allgemein
    Notizen: Abstract We examine the combined effect of spatially stationary surface waves and the presence of fluid inertia on the free convection induced by a vertical heated surface embedded in a fluid-saturated porous medium. We consider the boundary-layer regime where the Darcy-Rayleigh number, Ra, is very large, and assume that the surface waves have O(1) amplitude and wavelength. The resulting boundary-layer equations are found to be nonsimilar only when the surface is nonuniform and inertia effects are present; self-similarity results when either or both effects are absent. Detailed results for the local and global rates of heat transfer are presented for a range of values of the inertia parameter and the surface wave amplitude.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01073173
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  • 4
    Digitale Medien
    Digitale Medien
    Non-Darcy Free Convection Along a Horizontal Heated Surface (1997)
    Springer
    Transport in porous media 29 (1997), S. 309-321 
    Details
    ISSN: 1573-1634
    Schlagwort(e): Non-Darcy ; free convection ; horizontal surface ; fluid inertia
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Geologie und Paläontologie , Technik allgemein
    Notizen: 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.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1023/A:1006542410627
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