Abstract
This chapter highlights the modeling and computation of turbulent flows with passive scalars. For this purpose, it uses a stand-alone joint velocity-scalar probability density function (PDF) method. This method essentially provides complete one-point statistical description of turbulent quantities. PDF method is successfully applied to several classes of free-shear and wall-bounded flows, with account for flow intermittency, compressibility effects, and chemical reactions. Stochastic equations for velocity, dissipation rate, and temperature in this method are formulated and solved in the Lagrangian setting. Furthermore, the chapter explores the heated channel flow case with the assumption of log layer for both velocity and temperature. Resulting formulas are thus derived for the equilibrium values of the temperature-velocity statistics. PDF computation results are then compared with the available direct numerical simulation (DNS) data. The chapter also discusses consistency issues regarding the formulation of the scalar mixing model.
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