Abstract
A theoretical analysis of the effects of intermittency on turbulent transport processes in free turbulent flows is presented. Turbulent fluctuations, in addition to those in the fully turbulent fluid, are produced by the intermittency effects. It is shown that these additional fluctuations are significant for scalar quantities introduced in the turbulent fluid, but are insignificant for the velocity field based on Townsend's measurements. Dynamic equations governing the mean quantities and the fluctuations for both the velocity and temperature fields, including the intermittency effects, are derived. Based on these equations, the turbulent transport processes for momentum and heat are analyzed. It is found that 1) the turbulent Prandtl number is proportional to the intermittency factor, and 2) the mean velocity (defect) and temperature profiles are not the same, and the spread of the temperature profile is wider. A two-dimensional wake flow is worked out as a numerical example. The relevance of the present results to the hypersonic wake problem is discussed.
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