https://hal-cea.archives-ouvertes.fr/cea-02355750Morel, C.C.MorelDER - Département Etude des Réacteurs - CEA-DES (ex-DEN) - CEA-Direction des Energies (ex-Direction de l'Energie Nucléaire) - CEA - Commissariat à l'énergie atomique et aux énergies alternativesOn the surface equations in two-phase flows and reacting single-phase flowsHAL CCSD2007interfacial area concentrationflame surface densitytransport equationanisotropic interfaces[PHYS.NEXP] Physics [physics]/Nuclear Experiment [nucl-ex][PHYS.NUCL] Physics [physics]/Nuclear Theory [nucl-th]amplexor, amplexor2019-11-08 14:02:002022-07-07 10:16:222020-01-20 10:29:46enJournal articleshttps://hal-cea.archives-ouvertes.fr/cea-02355750/document10.1016/j.ijmultiphaseflow.2007.02.008application/pdf1This paper summarizes the mathematical surface equations which are useful in two-phase flows and single-phase reactingflows. The connection between the interfacial area concentration transport equation for two-phase flows and the flamesurface density transport equation for turbulent reacting flows is established. Several analytical examples are given to clarifythe physical significance of the different quantities involved in the different transport equations. An introduction to themathematical treatment of anisotropic interfaces is also given. This theory is illustrated on two different numerical examplesa single inclusion in a simple shear and a single inclusion in an uni-axial elongation.