A Modeling of the Compressibility Effects on the Turbulent Shear Flow

Due to its great ability to capture almost all the characteristic properties of turbulent structural flows, the second-order model is successful in many different interest industries and environment complex problems. These successes are attributed to the modeling advances of the pressure strain correlation which controls the strong changes in the turbulence anisotropy. For this reason, this term is regarded as a modeling Carrefour in this chapter. In the present work, compressible models involve the turbulent Mach number. the gradient Mach number and the convective Mach number for this term are examined in different cases of the compressible homogeneous shear flow and the developed mixing layers. Comparisons to the universal models and the accepted numerical data show that the modeling of the pressure strain can be useful for studying and then understanding the structural compressibility effects.