Relaminarization of turbulent flow in the entrance region of a rapidly rotating channel

Abstract Second-moment closure predictions of developing turbulent flow in a plane channel subjected to rapid spanwise rotation are compared with experimental results. Near-wall effects are modelled by elliptic relaxation. Rapid pressure–strain interactions are accounted for by a non-linear, cubic model which employs variable coefficients and is consistent with the principle of material frame indifference (MFI) in the limit of two-dimensional turbulence. It is shown that the rotational-induced effect of the Coriolis force on the developing mean flow field and the turbulence quantities is well reproduced by the present approach. It is particularly encouraging that the experimentally observed relaminarization on the stabilized suction side of the channel could be predicted well.

[1]  D. B. Spalding,et al.  Turbulent shear flows , 1980 .

[2]  James P. Johnston,et al.  Effects of spanwise rotation on the structure of two-dimensional fully developed turbulent channel flow , 1972, Journal of Fluid Mechanics.

[3]  B. Launder,et al.  Progress in the development of a Reynolds-stress turbulence closure , 1975, Journal of Fluid Mechanics.

[4]  P. Durbin A Reynolds stress model for near-wall turbulence , 1993, Journal of Fluid Mechanics.

[5]  C. G. Speziale On nonlinear K-l and K-ε models of turbulence , 1987, Journal of Fluid Mechanics.

[6]  Charles G. Speziale,et al.  A consistency condition for non-linear algebraic Reynolds stress models in turbulence , 1998 .

[7]  T. Gatski,et al.  On explicit algebraic stress models for complex turbulent flows , 1992, Journal of Fluid Mechanics.

[8]  Helge I. Andersson,et al.  Near-wall Reynolds-stress modelling in noninertial frames of reference , 1997 .

[9]  Paul A. Durbin,et al.  Modeling near wall effects in second moment closures by elliptic relaxation , 1994 .

[10]  I. Watanabe,et al.  Stabilizing and Destabilizing Effects of Coriolis Force on Two-Dimensional Laminar and Turbulent Boundary Layers , 1979 .

[11]  C. Turfus Prandtl–Batchelor flow past a flat plate at normal incidence in a channel–inviscid analysis , 1993, Journal of Fluid Mechanics.

[12]  Brian Launder,et al.  Application of a new second-moment closure to turbulent channel flow rotating in orthogonal mode , 1994 .

[13]  S. Pope A more general effective-viscosity hypothesis , 1975, Journal of Fluid Mechanics.

[14]  James P. Johnston,et al.  Effects of System Rotation on the Performance of Two-Dimensional Diffusers , 1976 .

[15]  R. Kristoffersen,et al.  Turbulence Statistics of Rotating Channel Flow , 1995 .

[16]  J. R. Ristorcelli,et al.  A rapid-pressure covariance representation consistent with the Taylor—Proudman theorem materially frame indifferent in the two-dimensional limit , 1995, Journal of Fluid Mechanics.

[17]  K. Nakabayashi,et al.  Low Reynolds number fully developed two-dimensional turbulent channel flow with system rotation , 1996, Journal of Fluid Mechanics.

[18]  H. Andersson,et al.  Second-moment closure predictions of turbulence-induced secondary flow in a straight square duct , 1999 .

[19]  R. Kristoffersen,et al.  Direct simulations of low-Reynolds-number turbulent flow in a rotating channel , 1993, Journal of Fluid Mechanics.