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JETP Letters

, Volume 86, Issue 2, pp 102–107 | Cite as

Analytical model of the time developing turbulent boundary layer

  • V. S. L’vov
  • A. Pomyalov
  • A. Ferrante
  • S. Elghobashi
Plasma, Gases

Abstract

An analytical model for the time-developing turbulent boundary layer (TD TBL) over a flat plate is presented. The model provides explicit formulae for the temporal behavior of the wall-shear stress and both the temporal and spatial distributions of the mean streamwise velocity, the turbulence kinetic energy and Reynolds shear stress. The resulting profiles are in good agreement with the DNS results of spatially-developing turbulent boundary layers at momentum thickness Reynolds numbers equal to 1430 and 2900 [5–7]. Our analytical model is, to the best of our knowledge, the first of its kind for TD TBL.

PACS numbers

42.27.-i 

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References

  1. 1.
    V. S. L’vov, I. Procaccia, and O. Rudenko (in preparation).Google Scholar
  2. 2.
    S. B. Pope, Turbulent Flows (Cambridge Univ. Press, Cambridge, 2000).zbMATHGoogle Scholar
  3. 3.
    V. S. L’vov, A. Pomyalov, and V. Tiberkevich, Environ. Fluid Mech. 5, 373 (2005).CrossRefGoogle Scholar
  4. 4.
    V. S. L’vov, I. Procaccia, and O. Rudenko (in preparation).Google Scholar
  5. 5.
    A. Ferrante and S. Elghobashi, J. Fluid Mech. 503, 345 (2004).zbMATHCrossRefADSGoogle Scholar
  6. 6.
    A. Ferrante and S. Elghobashi, J. Fluid Mech. 543, 93 (2005).zbMATHCrossRefADSGoogle Scholar
  7. 7.
    A. Ferrante and S. Elghobashi, J. Comput. Phys. 198, 372 (2004).zbMATHCrossRefADSGoogle Scholar
  8. 8.
    D. Coles, J. Fluid Mech. 1, 191 (1956).zbMATHCrossRefADSMathSciNetGoogle Scholar
  9. 9.
    V. S. L’vov, I. Procaccia, and O. Rudenko, Phys. Rev. Lett. (in press); Online on Los-Alamos archive: 0705.4592.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • V. S. L’vov
    • 1
  • A. Pomyalov
    • 1
  • A. Ferrante
    • 2
    • 3
  • S. Elghobashi
    • 2
  1. 1.Department of Chemical PhysicsThe Weizmann Institute of ScienceRehovotIsrael
  2. 2.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaIrvingUSA
  3. 3.Graduate Aeronautical LaboratoriesCalifornia Institute of TechnologyPasadenaUSA

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