Abstract
Governing equations based on the interpenetrating media framework are derived in the framework of computational multiphase fluid dynamics. On the basis of the continuum assumption, the formulation of local instantaneous conservation equations of mass, momentum and energy is achieved through the use of a phase indicator equation and applying space (volume) averaging or ensemble averaging. The effective conservation equations are subsequently obtained via Favre-averaging. In the Lagrangian frame of reference, particle linear and angular momentum equations along with conservation equations of mass and energy are derived. A range of fluid forces acting on particles, particle-particle interactions based on the hard sphere model and models for turbulent transport of particles are described. The set of partial differential equations governing the conservation of mass, momentum and energy for the multi-fluid model is provided. Generic and integral forms for the multi-fluid model in the Eulerian frame of reference and trajectory model in the Lagrangian frame of reference are presented. Specification of appropriate boundary conditions for multiphase flow systems is discussed.
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