Improved Application of the Von Karman Similarity Hypothesis to Turbulent Flow in Ducts

Author:

Quarmby Alan1

Affiliation:

1. University of Manchester Institute of Science and Technology, Sackville Street, Manchester 1. Member of the Institution.

Abstract

It is shown that Von Karman's similarity hypothesis can be used to deduce the Reynolds number dependence of the nor-dimensional turbulent velocity profile in both the circular tube and parallel plate channel. The analysis uses a two part model of a sub-layer and a main stream and ensures that there are no discontinuities in the profile gradient and that it fulfils the correct centre-line boundary condition. There is good agreement with experimental results in both configurations.

Publisher

SAGE Publications

Subject

General Engineering

Reference7 articles.

1. Goldstein S. Modern developments in fluid dynamics 1938, Vol. 2, 331 (Oxford University Press, Oxford).

2. TEMPERATURE GRADIENTS IN TURBULENT GAS STREAMS. POINT VALUES OF EDDY CONDUCTIVITY AND VISCOSITY.IN UNIFORM FLOW BETWEEN PARALLEL PLATES

3. On von Karman's eddy viscosity in bounded flow

4. Schlichting H. Boundary layer theory 1955, 502 (McGraw-Hill Book Co. Inc., New York).

5. Temperature Gradients in Turbulent Gas Streams. Measurement of Temperature, Energy, and Pressure Gradients.

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