DERIVATION OF CONSTITUTIVE EQUATIONS FOR INTERFACIAL FORCE AND REYNOLDS STRESS FOR A SUSPENSION OF SPHERES USING ENSEMBLE CELL AVERAGING

Abstract
A novel new ensemble cell averaging technique has been used to derive various interfacial forces and Reynolds stresses for inviscid two-fluid models of two-phase. New terms, not seen in the spatially averaged conservation equations, have been found. Moreover, deficiencies inherent in spatial averaging techniques have been demonstrated.

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