22.2.3 The Momentum Equation

A single momentum equation is solved throughout the domain, and the resulting velocity field is shared among the phases. The momentum equation, shown below, is dependent on the volume fractions of all phases through the properties $\rho$ and $\mu$.

$$\frac{\partial}{\partial t} (\rho {\vec v}) + \nabla \cdot... ...bla {\vec v} ^{\rm T}\right)\right] + \rho {\vec g} + {\vec F}$$ (22.2-5)

One limitation of the shared-fields approximation is that in cases where large velocity differences exist between the phases, the accuracy of the velocities computed near the interface can be adversely affected.