# Averaging approaches

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 Revision as of 21:02, 9 November 2009 (view source) (Created page with '===Overview=== ''See Main Article'' Overview ===Volume Averaging=== ''See Main Article'' Volume Averaging ===Area Averaging=== ''…')← Older edit Revision as of 14:25, 28 June 2010 (view source)Newer edit → Line 1: Line 1: - ===Overview=== + 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. - ''See Main Article'' [[Overview of averaging|Overview]] + + 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=== + ==Volume Averaging== ''See Main Article'' [[Volume averaging|Volume Averaging]] ''See Main Article'' [[Volume averaging|Volume Averaging]] - ===Area Averaging=== + ==Area Averaging== ''See Main Article'' [[Area averaging|Area Averaging]] ''See Main Article'' [[Area averaging|Area Averaging]] - ===Boltzmann Statistical Averaging=== + ==Boltzmann Statistical Averaging== ''See Main Article'' [[Boltzmann statistical averaging|Boltzmann Statistical Averaging]] ''See Main Article'' [[Boltzmann statistical averaging|Boltzmann Statistical Averaging]]

## Revision as of 14:25, 28 June 2010

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