Turbulence modeling for three-dimensional shear flows over curved rotating bodies

It is known that curvature and rotation affect a turbulence structure substantially, and a knowledge of these effects is essential for the improved prediction of flow over rotating bodies. A turbulence model which includes the effects of curvature as well as rotation has been developed. Different hypotheses are introduced to model the higher order unknowns in the Reynolds stress, the turbulent kinetic energy and dissipation rate equations are discussed. A detailed analysis of the effect of the rotation on each component of the Reynolds stress tensor is presented for hypothetical cases such as the pure shear flow in a rotating frame. Calculations show that the effects of rotation on turbulent shear stresses are more pronounced in a centrifugal type of turbomachinery than an axial type.

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