Publications Details

Space-filtered kinetic theory for the LES of dense sprays

Doisneau, Francois D.; Arienti, Marco A.; Oefelein, Joseph C.

Kinetic theory is often used as a framework to derive moment equations for sprays, with considerable success in the case of a dilute spray in a fully resolved (DNS) gas field. In the prospect of computing LES of atomization with a spray solver, a formalism that accounts for the non-linear interaction between high-loading regions and turbulence at the subfilter level is needed. So we first introduce a kinetic theory frame, where the phase space is extended to space-filtered spray quantities. This rigorous formalism is a comprehensive baseline but it requires closures. Second we quantify segregation, through a priori DNS, as a relevant space-filtered quantity to account for the spray’s subfilter behavior. Third we discuss an assumption on the subfilter spray structures which allows the closure of drag, heating, and collisions from the sole knowledge of segregation.