Partition of the stress dissipation has been studied in an axisymmetric strained flow field to assess the possible existence of local isotropy for turbulence at small scales. This is a simple flow to study because the axes of anisotropy of the Reynolds stresses and of the dissipation tensor are aligned. Using invariant theory, the relationship between the stress and dissipation tensors was derived, satisfying restrictions for the limiting states of turbulence and the assumed behavior for large Reynolds number and small anisotropy. The role of the anisotropy in constraining models for the turbulent dissipation rate and the pressure-strain correlations is discussed. Comparisons of the resulting closure with experimental data for several axisymmetric flows are good within the limitations of the data.
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May 2003
Technical Papers
On the Anisotropy of Axisymmetric Strained Turbulence in the Dissipation Range
J. Jovanovic´, Senior Research Scientist,
J. Jovanovic´, Senior Research Scientist
Lehrstuhl fu¨r Stro¨mungsmechanik, Universita¨t Erlangen-Nu¨rnberg, Cauerstrasse 4, D-91058 Erlangen, Germany
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I. Otic´, Ph.D. student,
I. Otic´, Ph.D. student
Lehrstuhl fu¨r Stro¨mungsmechanik, Universita¨t Erlangen-Nu¨rnberg, Cauerstrasse 4, D-91058 Erlangen, Germany
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P. Bradshaw, Professor of Engineering, Emeritus
P. Bradshaw, Professor of Engineering, Emeritus
Lehrstuhl fu¨r Stro¨mungsmechanik, Universita¨t Erlangen-Nu¨rnberg, Cauerstrasse 4, D-91058 Erlangen, Germany
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J. Jovanovic´, Senior Research Scientist
Lehrstuhl fu¨r Stro¨mungsmechanik, Universita¨t Erlangen-Nu¨rnberg, Cauerstrasse 4, D-91058 Erlangen, Germany
I. Otic´, Ph.D. student
Lehrstuhl fu¨r Stro¨mungsmechanik, Universita¨t Erlangen-Nu¨rnberg, Cauerstrasse 4, D-91058 Erlangen, Germany
P. Bradshaw, Professor of Engineering, Emeritus
Lehrstuhl fu¨r Stro¨mungsmechanik, Universita¨t Erlangen-Nu¨rnberg, Cauerstrasse 4, D-91058 Erlangen, Germany
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division February 27, 2002; revised manuscript received December 4, 2002. Associate Editor: G. E. Karniadakis.
J. Fluids Eng. May 2003, 125(3): 401-413 (13 pages)
Published Online: June 9, 2003
Article history
Received:
February 27, 2002
Revised:
December 4, 2002
Online:
June 9, 2003
Citation
Jovanovic´, J., Otic´, I., and Bradshaw, P. (June 9, 2003). "On the Anisotropy of Axisymmetric Strained Turbulence in the Dissipation Range ." ASME. J. Fluids Eng. May 2003; 125(3): 401–413. https://doi.org/10.1115/1.1568355
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