Une alternative aux hypothèses de Boussinesq des gaz chauds : L'approximation polytropique

A new approximation is proposed for the balance equations of heated gas flows, taking into account completely the couplings between dynamic and thermal fields, as well as compressibility, stating in a polytropic formulation the relation between the quantities of corresponding state. The polytropic exponent is the new variable that characterises the transfers; it substitutes the temperature for the pressure and the density that are physical quantities difficult to grasp. The method opens interesting prospects for the study of heated gases, for experiments, or for modelling and numerical simulation. To cite this article: C. Rey, S. Benjeddou, C. R. Mecanique 332 (2004).