Effective thermal conductivity of a wet porous medium – Presence of hysteresis when modeling the spatial water distribution for the pendular regimé

Abstract : This paper deals with the heat transfer between two spherical grains separated by a small gap; dry air is located around the grains and a liquid water meniscus is supposed to be present between them. This problem can be seen as a micro-scale cell of an assembly of solid grains, for which we are looking for the effective thermal conductivity. For a fixed contact angle and according to the volume of the liquid meniscus, two different shapes are possible for the meniscus, giving a "contacting" state (when the liquid makes a true bridge between the two spheres) and a "non-contacting" one (when the liquid is split in two different drops, separated by a thin air layer); the transition between these two states occurs at different times when increasing or decreasing the liquid volume, thus leading to a hysteresis behavior when computing the thermal flux across the domain.
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ASME, Journal of Heat Transfert,, 2016, 138 (9), pp.091011. 〈10.1115/1.4032950〉
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Edouard Canot, Renaud Delannay, Salwa Mansour, Mohamad Muhieddine, Ramiro March. Effective thermal conductivity of a wet porous medium – Presence of hysteresis when modeling the spatial water distribution for the pendular regimé. ASME, Journal of Heat Transfert,, 2016, 138 (9), pp.091011. 〈10.1115/1.4032950〉. 〈hal-01245690〉

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