Derivation of constitutive equations for interfacial momentum transfer required for the analyses of gas-liquid-solid three-phase flow with a one-dimensional three-fluid model.

Abstract

Derivation of constitutive equations for interfacial momentum transfer between two phases in three-phase flow was carried out in this study. For a preparation of this derivation, the validity of Andersen's equation for the interfacial momentum transfer in two-phase flow was examined. This examination clarified that Andersen's equation cannot be applied when the density difference of two phases or a body force is small. A new constitutive equation for the interfacial momentum transfer in two-phase flow, which can be applied even to the above-mentioned case, was derived from the area-averaged momentum equations. Then, similar constitutive equations for the interfacial momentum transfer between two phases in three-phase flow were derived using drift-flux correlations for hypothetical two-phase flows which are conceived by excluding one phase from the three phases. Constitutive equations for drag coefficients between two phases were also proposed.