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Thermal convection around obstacles: the case of Sierpinski carpets

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Abstract

Measurements of free convection velocity profiles by laser Doppler velocimetry in a cavity containing Plexiglas reconstructed Sierpinski carpets are compared with computed profiles using the SIMPLER numerical code applied to the Navier–Stokes equations. This first step validates the numerical code into which two thermal conductivities are used (that of the liquid and that of the solid), together with two viscosities (that of the liquid and a fictitious high viscosity of the order of 1030 for the solid). Next, the code is used for a network of Sierpinski carpets, allowing the evaluation of a seepage velocity from the Navier–Stokes equations.

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Authors and Affiliations

  1. E.M.I., Lersim, University Mohammed V, Avenue Ibn Sina, BP 765, Agdal, Rabat, Morocco

    A. Amine

  2. University of Mons-Hainaut, Belgium

    J. K. Platten

  3. FSSM-LMFE, University Cadi Ayyad, BP 2390, Marrakesh, Morocco

    M. Hasnaoui

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  1. A. Amine
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  2. J. K. Platten
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  3. M. Hasnaoui
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Amine, A., Platten, J.K. & Hasnaoui, M. Thermal convection around obstacles: the case of Sierpinski carpets. Exp Fluids 36, 717–727 (2004). https://doi.org/10.1007/s00348-003-0750-6

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  • DOI: https://doi.org/10.1007/s00348-003-0750-6

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