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Conditional velocity and scalar statistics

In one-point models for turbulent mixing, extensive use of conditional statistics is made when developing simplified models. For example, in the PDF transport equation for x, f), the expected value of the velocity fluctuations conditioned on the scalars appears and is defined by [Pg.67]

The first term on the right-hand side of this expression can be calculated from the conditional PDF /ui4 (V i/ x, t) defined by [Pg.67]

Using this expression, the conditional expectation is given by [Pg.68]

Another conditional expectation that frequently occurs in closures for the chemical source term is the conditional mean of the composition variables given the mixture fraction. The latter, defined in Chapter 5, is an inert scalar formed by taking a linear combination of the components of 0  [Pg.68]

Moreover, the joint composition, mixture-fraction PDF can be written as [Pg.68]


See other pages where Conditional velocity and scalar statistics is mentioned: [Pg.9]    [Pg.86]    [Pg.67]   


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Conditional statistics

Scalar

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