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23.3.3 Material Properties

The properties appearing in the transport equations are determined by the presence of the component phases in each control volume. In a two-phase system, for example, if the phases are represented by the subscripts 1 and 2, and if the volume fraction of the second of these is being tracked, the density in each cell is given by

 \rho = \alpha_2 \rho_2 + (1 - \alpha_2) \rho_1 (23.3-5)

In general, for an $n$-phase system, the volume-fraction-averaged density takes on the following form:

 \rho = \sum \alpha_q \rho_q (23.3-6)

All other properties (e.g., viscosity) are computed in this manner.

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