Turbulence model predictions of extra-strain rate effects in strongly-curved flows

The abilities of three types of turbulence models to accurately predict the eeects of curvature on ow in a U-duct are studied. An explicit algebraic stress model performs better than one-or two-equation linear eddy viscosity models, although it is necessary to fully account for the variation of the production-to-dissipation-rate ratio in the algebraic stress model formulation. None of the turbulence models fully captures the suppressed turbulence near the convex wall or enhanced turbulence near the concave wall. However, a full Reynolds stress model predicts the suppressed turbulence near the convex wall. Some of the underlying assumptions used in the development of algebraic stress models are investigated and compared with the computed ow eld from a full Reynolds stress model. Through this analysis, the assumption of Reynolds stress anisotropy equilibrium used in the algebraic stress model formulation is found to be suspect in regions of strong curvature.

[1]  H. L. Seegmiller,et al.  Comparison of experiment with calculations using curvature-corrected zero and two equation turbulence models for a two-dimensional U-duct , 1990 .

[2]  Hector Iacovides,et al.  Turbulent boundary-layer development around a square-sectioned U-bend : measurements and computation , 1990 .

[3]  Christopher L. Rumsey,et al.  INVESTIGATION OF CONFLUENT BOUNDARY LAYERS IN HIGH-LIFT FLOWS , 1998 .

[4]  F. Menter,et al.  The status of turbulence modeling for external aerodynamics , 1994 .

[5]  Budugur Lakshminarayana,et al.  Analysis of Streamline Curvature Effects on Wall-Bounded Turbulent Flows , 1997 .

[6]  Prediction of Strongly Curved Turbulent Duct Flows with Reynolds Stress Model , 1997 .

[7]  M. Plesniak,et al.  Convex turbulent boundary layers with zero and favorable pressure gradients , 1996 .

[8]  P. Spalart.  A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[9]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[10]  W. Rodi,et al.  Calculation of curved shear layers with two‐equation turbulence models , 1983 .

[11]  J. Gillis,et al.  Turbulent boundary-layer flow and structure on a convex wall and its redevelopment on a flat wall , 1983, Journal of Fluid Mechanics.

[12]  Turbulence modelling over two-dimensional hills using an Algebraic Reynolds Stress Expression , 1996 .

[13]  Florian,et al.  Improved Two-Equation k- Turbulence Models for Aerodynamic Flows , 2022 .

[14]  V. C. Patel,et al.  Longitudinal curvature effects in turbulent boundary layers , 1997 .

[15]  B. Launder,et al.  Laminarization of three-dimensional accelerating boundary layers in a curved rectangular-sectioned duct , 1992 .

[16]  T. B. Gatski,et al.  General explicit algebraic stress relations and best approximation for three-dimensional flows , 1998 .

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

[19]  Joseph H. Morrison,et al.  A Compressible Navier-Stokes Solver With Two-Equation and Reynolds Stress Turbulence Closure Models , 1992 .

[20]  T. Gatski,et al.  Predicting Noninertial Effects with Linear and Nonlinear Eddy-Viscosity, and Algebraic Stress Models , 1998 .

[21]  T. Gatski,et al.  A New Approach to Characterizing the Equilibrium States of the Reynolds Stress Anisotropy in Homogeneous Turbulence , 1998 .

[22]  Thomas B. Gatski,et al.  rP % ICASE Report No . 905 N I < ICASE MODELING THE PRESSURE-STRAIN CORRELATION OF TURBULENCE-AN INVARIANT DYNAMICAL SYSTEMS APPROACH , 2022 .

[23]  G. Mellor,et al.  Experiment on convex curvature effects in turbulent boundary layers , 1973, Journal of Fluid Mechanics.

[24]  S. Ying,et al.  Prediction of High-Lift Flows Using Turbulent Closure Models , 1997 .

[25]  Gianni Astarita,et al.  Objective and generally applicable criteria for flow classification , 1979 .

[26]  S. Girimaji.  Fully explicit and self-consistent algebraic Reynolds stress model , 1995 .

[27]  L Krist Sherrie,et al.  CFL3D User''s Manual (Version 5.0) , 1998 .

[28]  T. Gatski,et al.  Modelling the pressure–strain correlation of turbulence: an invariant dynamical systems approach , 1991, Journal of Fluid Mechanics.

[29]  Arild Bertelrud,et al.  Prediction of high-lift flows using turbulent closure models , 1997 .