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Environmental Fluid Mechanics

, Volume 5, Issue 4, pp 373–386 | Cite as

Simple Analytical Model for Entire Turbulent Boundary Layer over Flat Plane

From Viscous and Mixing Layers to Turbulent Logarithmic Region
  • Victor S. L’vov
  • Anna Pomyalov
  • Vasil Tiberkevich
Article

Abstract

We discuss a simple analytical model of the turbulent boundary layer (TBL) over flat plane. The model offers an analytical description of the profiles of mean velocity and turbulent activity in the entire boundary region, from the viscous sub-layer, through the buffer layer further into the log-law turbulent region. In contrast to various existing interpolation formulas the model allows one to generalize the description of simple TBL of a Newtonian fluid for more complicated flows of turbulent suspensions laden with heavy particles, bubbles, long-chain polymers, to include the gravity acceleration, etc.

Key words

analytical model mean velocity turbulent activity profile turbulent boundary layer wall bounded turbulence 

Abbreviations

PBL

planetary boundary layer

TBL

turbulent boundary layer

NSE

Navier–Stokes equation

DNS

direct numerical simulations

LHS

left-hand side

RHS

right-hand side

rms

root mean square

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References

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Copyright information

© Springer 2005

Authors and Affiliations

  • Victor S. L’vov
    • 1
  • Anna Pomyalov
    • 1
  • Vasil Tiberkevich
    • 1
  1. 1.Department of Chemical PhysicsThe Weizmann Institute of ScienceRehovotIsrael

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