Heat transfer across turbulent, incompressible boundary layers☆

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Abstract

The paper contains a survey of the present status of knowledge concerning the transfer of heat by forced convection across incompressible turbulent boundary layers. The foundations of the semi-empirical theory are examined from first principles and the limitations of the theory are carefully noted. Elementary theories are described and an outline of D.B. Spalding's mathematically exact theory is given. The limiting cases of very high and very low Prandtl numbers are discussed. Finally, an outline of W. V. R. Malkus' theory of turbulent processes is sketched.

A conscientious attempt has been made to clarify all physical assumptions, to identify the major fundamental problems which require attention and to indicate directions in which the semi-empirical theory can be extended.

Zusammenfassung

Für den Wärmeübergang in turbulenter Grenzschicht bei erzwungener Konvektion wird hier ein Überblick über den gegenwärtigen Stand der Kenntnisse vermittelt. Die Grundlagen der halbempirischen Theorie werden von Anfang an nachgeprüft und ihre Grenzen sorgfältig aufgezeigt. Elementare Theorien sind beschrieben und eine Zusammenfassung der mathematisch exakten Theorie von D.B. Spalding ist angegeben. Die Grenzfälle sehr hoher und sehr niedriger Prandtlzahlen werden diskutiert. Auch ist die Theorie der turbulenten Prozesse von W. V. R. Malkus zusammengefasst angeführt. Eine gewissenhafte Untersuchung galt der Klärung aller physikalischen Annahmen, um die dringlich zu beachtenden Grundprobleme und dei Erweiterimgsmöglichkeiten der halbempirischen Theorie angeben zu können.

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    ☆

    Prepared for the International Colloquium on Turbulence, 28 August-2 September 1961, Marseilles, France. A brief outline is to be published in the Colloquium Proceedings.

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    Copyright © 1963 Published by Elsevier Ltd.