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Theses

Modélisation des couplages entre des transferts conductifs, convectifs et radiatifs en milieux poreux

Abstract : This thesis deals with the modeling of heat transfer in porous media subjected to high temperature. An upscaling procedure yields a macroscopic model based on local thermal non-equilibrium. This procedure accounts for local scale coupling effects between radiation and other transfer modes. Radiation modeling uses the generalized radiation transfer equation (GRTE) and, at the commonly encountered limit of a macroscopically optically thick medium, the radiative Fourier law. An original feature of this procedure is the application of the volume averaging method (VAM) to local conservation equations in which radiation transfer is included. This raises three major challenges: - the physical natures of the various transfer modes involved are different. The material system (in which conduction and convection occur) coexists alongside with the photon field, which is homogenized using a statistical method based on the characterization of the radiative properties through statistical distribution functions, continuously defined over the whole volume of the porous medium. - the length scales involved in the upscaling procedure must be compatible with each other. The compatibility of the scale separation constraint (required by the VAM) with the length scale of the radiative homogenization technique (which is limited by the resolution of a tomography of the medium) is established. - the emission phenomenon depends on the temperature of matter. This temperature, specific to the radiation calculation, is obtained by applying a dedicated averaging operator. This operator is associated with an averaging volume whose length scale has to be representative at the local scale. In practice, the resolution of this averaging procedure defines the scale of the coupling between the VAM and the radiation model. The resulting macroscopic model is applied to a one-dimensional, steady case. The solving of this simple case shows the influence of local coupling effects.
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Vincent Leroy. Modélisation des couplages entre des transferts conductifs, convectifs et radiatifs en milieux poreux. Autre. Ecole Centrale Paris, 2013. Français. ⟨NNT : 2013ECAP0013⟩. ⟨tel-00825130⟩

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