On Von Karman's Eddy Viscosity in Bounded Flow

Abstract

For a bounded turbulent flow, the von Karman's eddy viscosity based on the similarity hypothesis yields a well confirmed asymptotic logarithmic velocity distribution for a large Reynolds number. By solving exactly the equation of motion arising from the introduction of the von Karman's eddy viscosity, the notorious sources of inconsistency as (i) the discontinuity of velocity derivative at the matching point, and (ii) the non-vanishing velocity gradient at the enter of a channel, can be removed entirely. Yet the exact solution can be made sufficiently close to the asymptotic logarithmic profile for all other ranges by an arbitrary choice of the parameter separating the conventional two regions in a turbulent flow channel.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
ADA375538

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  • Jon Lee

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  • Advanced Electronics

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  • Air Force
  • Boundaries
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  • Differential Equations
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  • Flow
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  • Reynolds Number
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  • Viscosity

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