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Modeling the Dissipation Rate in Rotating Turbulent Flows

  • Charles G. Speziale
  • Rishi Raj
  • Thomas B. Gatski

Abstract

A variety of modifications to the modeled dissipation rate transport equation that have been proposed during the past two decades to account for rotational strains are examined. The models are subjected to two crucial test cases: the decay of isotropic turbulence in a rotating frame and homogeneous shear flow in a rotating frame. It is demonstrated that these modifications do not yield substantially improved predictions for these two test cases and in many instances give rise to unphysical behavior. An alternative proposal, based on the use of the tensor dissipation rate, is made for the development of improved models.

Keywords

Turbulent Kinetic Energy Dissipation Rate Shear Flow Isotropic Turbulence Homogeneous Turbulence 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Lumley, J. L., 1978, Computational Modeling of Turbulent Flows, Adv. Appl. Mech. 18, pp. 123–176MathSciNetADSMATHCrossRefGoogle Scholar
  2. [2]
    Speziale, C. G., 1990, Analytical Methods for the Development of Reynolds Stress Closures in Turbulence, Ann. Rev. Fluid Mech. 23, pp. 107–157ADSCrossRefGoogle Scholar
  3. [3]
    Launder, B. E., Spalding, D. B., 1974, The Numerical Computation of Turbulent Flows, Comput. Methods Appl. Mech. & Engrg. 3, pp. 269–289ADSMATHCrossRefGoogle Scholar
  4. [4]
    Launder, B. E., 1990, Phenomenological Modeling: Present and Future, Lecture Notes in Physics (J. L. Lumley, ed., Springer- Verlag, New York) 357, pp. 439–485Google Scholar
  5. [5]
    Pope, S. B., 1978, An Explanation of the Turbulent Round Jet/Plane Jet Anomaly, AIAA J. 16, pp. 279 – 281ADSCrossRefGoogle Scholar
  6. [6]
    Hanjalic, K. and Launder, B. E., 1980, Sensitizing the Dissipation Equation to Irrotational Strains, ASME J. Fluids Eng. 102, pp. 34 – 40CrossRefGoogle Scholar
  7. [7]
    Bardina, J., Ferziger, J. H., and Rogallo, R. S., 1985, Effect of Rotation on Isotropic Turbulence: Computation and Modeling, J. Fluid Mech. 154, pp. 321 – 336ADSCrossRefGoogle Scholar
  8. [8]
    Raj, R., 1975, Form of the Turbulence Dissipation Equation as Applied to Curved and Rotating Turbulent Flows, Phys. Fluids 18, pp. 1241 – 1244ADSMATHCrossRefGoogle Scholar
  9. Bardina, J., 1988, Turbulence Modeling Based on Direct Simulation of the Navier-Stokes Equations, Proceedings of the 1st National Fluid Dynamics Congress, Paper No. 88–3747-CPGoogle Scholar
  10. [10]
    Speziale, C. G., 1989, Turbulence Modeling in Non-Inertial Frames of Reference, Theoret. & Comput. Fluid Dynamics 1, pp. 3 – 19MATHGoogle Scholar
  11. [11]
    Raj, R., Speziale, C. G., 1990, A Note on the Dissipation Equation in Rotating Turbulent Flows, in preparationGoogle Scholar
  12. [12]
    Launder, B. E., Reece, G., and Rodi, W., 1975, Progress in the Development of a Reynolds Stress Turbulence Closure, J. Fluid Mech. 68, pp. 537 – 566ADSMATHCrossRefGoogle Scholar
  13. [13]
    Speziale, C. G. and Mac Giolla Mhuiris, N., 1989, On the Prediction of Equilibrium States in Homogeneous Turbulence, J. Fluid Mech. 209, pp. 591 – 615MathSciNetADSMATHCrossRefGoogle Scholar
  14. [14]
    Speziale, C. G., Mansour, N. N., Rogallo, R. S., 1987, The Decay of Isotropic Turbulence in a Rapidly Rotating Frame, Proceedings of the 1987 Summer Program of the Center for Turbulence Research (P. Moin, W. C. Reynolds, J. Kim, eds., Stanford University Press), pp. 205–211Google Scholar
  15. [15]
    Wigeland, R. A., Nagib, H. M., 1978, Grid-Generated Turbulence With and Without Rotation about the Streamwise Direction, IIT Fluids and Heat Transfer Report R78-1, Illinois Institute of TechnologyGoogle Scholar
  16. [16]
    Bardina, J., Ferziger, J. H., Reynolds, W. C., 1983, Improved Turbulence Models Based on Large-Eddy Simulation of Homogeneous, Incompressible Turbulent Flows, Stanford University Technical Report TF-19Google Scholar
  17. [17]
    Speziale, C. G., 1990, Discussion of Turbulence Modeling: Present and Future, Lecture Notes in Physics (J. L. Lumley, ed., Springer-Verlag, New York) 357, pp. 490–512Google Scholar
  18. [18]
    Speziale, C. G., Gatski, T. B., 1990, A Model for the Tensor Dissipation Rate of Turbulence, in preparationGoogle Scholar
  19. [19]
    Speziale, C. G., Sarkar, S., Gatski, T. B., 1989, Modeling the Pressure-Strain Correlation of Turbulence — An Invariant Dynamical Systems Approach, J. Fluid Mech., in pressGoogle Scholar
  20. [20]
    Durbin, P. A., Speziale, C. G., 1990, Local Anisotropy in Strained Turbulence at High Reynolds Numbers, ASME J. Fluids Eng., submitted for publicationGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Charles G. Speziale
    • 1
  • Rishi Raj
    • 2
  • Thomas B. Gatski
    • 3
  1. 1.ICASENASA Langley Research Center HamptonUSA
  2. 2.City College of New YorkNew YorkUSA
  3. 3.NASA Langley Research Center HamptonUSA

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