GENERALIZED LAW OF THE WALL AND EDDY VISCOSITY MODEL FOR WALL BOUNDARY LAYERS

Abstract

Based on the logarithmic velocity distribution at distances not so far from the wall and a turbulent shear variation proportional to the cubic power of the wall distance in the immediate proximity of the wall, an analytical model for an eddy viscosity throughout the wall region is derived leading to a closed form expression for the velocity distribution. An extension of the above analysis to include shear variation results in a generalized law of the wall from which the effect of Reynolds number on the velocity distribution is derived. While many applications of the generalized solution are envisaged, as an example, the velocity distribution for the case of injection or suction is considered. The theoretical result is shown to be in agreement with available experimental data.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0649606

Entities

People

  • Gdalia Kleinstein

Organizations

  • New York University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Agreements
  • Air Force
  • Boundary Layer
  • Contracts
  • Experimental Data
  • Flow
  • Flow Fields
  • Fluid Dynamics
  • Government Procurement
  • Governments
  • Law
  • New York
  • Pipe Flow
  • Reynolds Number
  • United States
  • Viscosity

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Combustion and Flow Dynamics.