VCIEM model models

Fox (1996b) has investigated the properties of the VCIEM model, and has shown that correlation between the velocity and scalar fields due to the turbulent scalar flux can have a significant effect on the molecular mixing rate predicted by (6.86). 

Note that (6.190) contains a number of conditional expected values that must be evaluated from the particle fields. The Lagrangian VCIEM model follows from (6.86), and has the same form as the LIEM model, but with the velocity, location-conditioned scalar mean (0 U, X )(U. X. t) in place of location-conditioned scalar mean ( X )(X. t) in the final term on the right-hand side of (6.190). 

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