Averaging approaches

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The objectives of the various averaging methods are twofold: (1) to define the average properties for the multiphase system and correlate the experimental data, and (2) to obtain solvable governing equations that can be used to predict the macroscopic properties of the multiphase system. This chapter will address the application of averaging methods to the governing equations.

Based on the physical concepts used to formulate multiphase transport phenomena, the averaging methods can be classified into three major groups: (1) Eulerian averaging, (2) Lagrangian averaging, and (3) Molecular statistical averaging.

Volume Averaging

See Main Article Volume Averaging

Area Averaging

See Main Article Area Averaging

Boltzmann Statistical Averaging

See Main Article Boltzmann Statistical Averaging