A two-scale two-phase flow model for the separate-to-disperse phase transition in atomizing flows

Le résumé fourni par la source

An original two-scale, isothermal compressible two-phase flow model with surface tension is presented. The model allows for a unified description of the separate interface and disperse phase regimes. The inter-scale mass transfer terms, activated when the local curvatures exceed a physical and grid-independent length threshold, allow for the transition from the former regime, to the latter, through atomization. This mass transfer process is obtained through a pressure relaxation towards a modified Laplace law such that local curvatures do not exceed the prescribed threshold. It leads to a local and dissipative regularization of the large-scale interface, while retaining a sub-scale representation of the small-scale flow features. The backbone of the model is derived through the use of Hamilton's Stationary Action Principle. The source terms are derived such that the inter-scale mass transfer is dissipative for the extended thermodynamics, which includes the surface energies at both scales. The methodology that is developed allows for the derivation of a thermodynamically consistent model which admits a supplementary conservation law for the entropy and real characteristics.

Ce résumé expose les affirmations des auteurs. BNTIC ne l’interprète pas comme une validation indépendante des résultats.