On the surface equations in two-phase flows and reacting single-phase flows

C. Morel (1)

1 DER - Département Etude des Réacteurs

This 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.

Keywords: interfacial area concentration; flame surface density; transport equation; anisotropic interfaces

Domains: Nuclear Experiment [nucl-ex]; Nuclear Theory [nucl-th]

C. Morel. On the surface equations in two-phase flows and reacting single-phase flows. International Journal of Multiphase Flow, 2007, 33 (10), pp.1045-1073. ⟨10.1016/j.ijmultiphaseflow.2007.02.008⟩. ⟨cea-02355750⟩