Skip to main content
Log in

Models for the counter-gradient-transport phenomena

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The counter gradient transport phenomena on momentum, energy and passive scalar in turbulent flows were studied by use of the single response function for TSDIA. As a result, models that can describe qualitatively the phenomena are obtained. Then the results are simplified by use of the inertial range theory, and the results for lower degrees agree with results of predecessor. Finally the counter gradient-transport phenomena in channel flow and circular wake flow are analyzed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Eskinazei S, Erian F. Energy reversal in turbulent flows[J].Phys Fluids, 1988,12(10): 1988–1998.

    Article  Google Scholar 

  2. Hanjalic K, Launder B E. Fully developed asymmetric flow in a plane channel[J].J Fluid Mech, 1972,51(2):301–335.

    Article  Google Scholar 

  3. Sreenivasan K R, Tavoularis S, Corrsin S. A test of gradient transport and its generalizations[J].Turbulent Shear Flows, 1983,3(1):96–112.

    Google Scholar 

  4. Leslie D C.Developments in the Theory of Turbulence[M]. New York: Oxford Clarendo, 1972.

    Google Scholar 

  5. Kraichnan R H. The structure of isotropic turbulence at very high Reynolds numbers[J].J Fluid Mech, 1959,5(1):497–529.

    Article  MATH  MathSciNet  Google Scholar 

  6. Yoshizawa A. Statistical analysis of the deviation of Reynolds stress from its eddy viscosity representation[J].Phys Fluids, 1984,27(1):1337–1346.

    Google Scholar 

  7. Hamba F. Statistical analysis of chemically reacting passive scalars in turbulent shear flows[J].Journal of the Physical Society of Japan, 1987,56(1):79–86.

    Article  Google Scholar 

  8. Shimomura Y. A theoretical study of the turbulent diffusion in incompressible shear flows and in passive scalars[J].Phys Fluids, 1998,10(10):2636–2646.

    Article  MathSciNet  Google Scholar 

  9. Yoshizawa A. Statistical modeling of a passive-scalar diffusion in turbulent shear flows[J].J Fluid Mech, 1988,195(1):541–549.

    Article  MATH  Google Scholar 

  10. Veeravalli S, Warhaft Z. Thermal dispersion from a line source in the shearless turbulence mixing layer[J].J Fluid Mech, 1990,216(10):35–70.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Paper from LIU Yu-lu, Member of Editorial Committee, AMM

Foundation item: the National Natural Science Foundation of China (19872043)

Biographies: JIANG Jian-bo (1974−) LIU Yu-lu (1959−)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jian-bo, J., Zhi-ming, L., Xiao-ming, L. et al. Models for the counter-gradient-transport phenomena. Appl Math Mech 22, 312–319 (2001). https://doi.org/10.1007/BF02437969

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02437969

Key words

CLC number

Navigation