Fabien Duval
Institut de Radioprotection et de Surete Nucleaire (IRSN), Saint Paul Lez Durance, 13115 FRANCE
Celine Béchaud
Institut de Radioprotection et de Sureté Nucléaire, Département de Recherches en Sécurité, CEA Cadarache, 13108 St Paul Lez Durance cedex, France
Florian Fichot
Institut de Radioprotection et de Sureté Nucléaire (IRSN), Division of Major Accidents Prevention
Michel Quintard
Université de Toulouse; INPT, UPS; IMFT (Institut de Mécanique des Fluides de Toulouse); Allée Camille Soula, F-31400 Toulouse, France; CNRS; IMFT; F-31400 Toulouse, France
This paper deals with the macroscopic description of heat transfer in a porous medium subjected to a liquid-vapor flow with phase change. Considering local thermal non-equilibrium between the three phases, the method of volume averaging is used to derive a three-temperature macroscopic model. A closed form of the evaporation rate is derived depending on effective properties and averaged temperatures. The volume averaging method provides six local closure problems that allow to compute all the effective transport coefficients introduced in the average model. Closure problems are solved for simple unit cells and some analytical results are presented. A comparison between averaged temperatures obtained from numerical experiments at the pore-scale, and average temperatures obtained from the macroscopic model, is performed. This comparison illustrates the validity and the
practical interest of the modelling approach.