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A unified theory of turbulent flow II

Plane Couette flow

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Summary

A general theory of turbulent flow is applied to incompressible plane Couette flow. It is found that a unique formulation is not obtained because of a singularity in the equations and problems relating to the boundary conditions. Solutions are obtained for several different assumptions. The characteristic feature is a square root velocity profile for high Reynolds numbers. The logarithmic law is obtained as a divergent approximation. There are discrepancies in the available experimental data; one set agreeing with the square root form, and a second set with the logarithmic form.

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Authors and Affiliations

  1. Southwest Research Institute, San Antonio, Texas, USA

    William Squire

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  1. William Squire
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Squire, W. A unified theory of turbulent flow II. Appl. sci. Res. 9, 393 (1960). https://doi.org/10.1007/BF00382217

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  • DOI: https://doi.org/10.1007/BF00382217

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