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- W2088885004 abstract "The plane turbulent boundary layer tied up with rotation normal to the mean shear plane and the rotating cylinder turbulent boundary layer are associated with transport equations that exhibit a formal analogy between the expressions of Coriolis and centrifugal forces. The traceless vorticity tensor and the production tensor (associated with the symmetric part of the mean velocity gradient) that appear in the Reynolds stress transport equation also exhibit a striking analogy between the rotation number and the curvature parameter. Due to the fact that in these flows rotation or streamline curvature do not affect the (convective and diffusive) transport terms it is shown that pressure-strain correlations comply with this formal analogy. The idea that convection and vorticity should have the same functional contribution in the models of the linear part of the pressure-strain term is shown to be consistent with a typical result of the rapid distortion theory, i.e., the most energetic state of turbulence is associated to the value of the rotation number R=−1/4. A few second-order closure models are tested with regard to the analogy criterion. Particularly, the Launder, Reece, and Rodi model [J. Fluid. Mech. 68, 537 (1975)], its variants, and the algebraic stress model of Rodi (Ph.D. thesis, University of London, 1972) are examined with respect to their deviations from Richardson number similarity. The results of these models are compared with previous experiments and numerical simulations of rotating homogeneous turbulent shear flows and inhomogeneous turbulent flows generated by a rotating cylinder in a quiescent fluid." @default.
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- W2088885004 date "1993-08-01" @default.
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- W2088885004 title "An assessment of pressure‐strain models for rotating flows" @default.
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- W2088885004 doi "https://doi.org/10.1063/1.858829" @default.
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