Refinement of a second moment closure by the elliptic blending equation and its application to turbulent rotating channel flows

This paper describes further developments of a near-wall second moment turbulence closure of Manceau and Hanjalic, and its application to the imposed system rotation around three orthogonal and non-orthogonal rotating axes on turbulent channel flow. To refine the model, called 'the elliptic blending model', an inhomogeneity correction is added to the near-wall redistribution term. Also, another approach to modelling the near-wall limiting redistribution is employed for the general complex geometries, which frequently appear in industrial applications. The Speziale-Sarkar-Gatski (SSG) and Craft-Launder (CL) models are adopted in the present approach to assess the quasi-homogeneous redistribution on the imposed system rotation. The present revised models are tested by direct comparison with the DNS data to investigate the performance of predictions. With the imposed system rotations, the effects of Coriolis forces on the turbulence intensities and mean velocities are globally well captured by the present models.