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Heat Transfer in Porous Media: Second-Order Closure and Nonlinear Source Terms

Davit, Yohan and Quintard, Michel Heat Transfer in Porous Media: Second-Order Closure and Nonlinear Source Terms. (2015) In: 17 èmes Journées Internationales de Thermique (JITH 2015), 28 October 2015 - 30 October 2015 (Marseille, France).

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Heat transfer in multiscale materials is ubiquitous in natural and engineered systems. These materials are often modeled at a macroscopic scale, where microscopic details are filtered out to reduce numerical and physical complexity. Here, we use the method of volume averaging to upscale heat transfer equations for a saturated porous medium with non-linear bulk and surface sources. This approach leads to the development of a variety of macroscopic models, including a two-temperature model with a second order closure that extends previous results from Quintard and Whitaker [2000]. Effective properties are calculated for model unit-cells (1D, 2D and 3D) and also for a realistic pore-scale geometry obtained using X-ray tomography. The model further features a distribution coefficient that indicates the distribution of the surface heat between the two phases at the macroscale. By comparing computational results for the two-temperature model against direct numerical simulations, we show that this effective distribution coefficient captures well the partitioning of heat, even in the transient regime.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to 17èmes Journées Internationales de Thermique (JIHT), http://jith.fr/
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Laboratory name:
Deposited On:23 Nov 2015 10:51

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