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The drag of a compressible turbulent boundary layer on a smooth flat plate with and without heat transfer

Published online by Cambridge University Press:  28 March 2006

D. B. Spalding  and
S. W. Chi
D. B. Spalding
Affiliation:
Mechanical Engineering Department, Imperial College of Science and Technology, London, S.W. 7
S. W. Chi
Affiliation:
Mechanical Engineering Department, Imperial College of Science and Technology, London, S.W. 7
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Abstract

The theoretical treatments given by earlier authors are classified, reviewed and where necessary extended; then the predictions of twenty of these theories are evaluated and compared with all available experimental data, the root-meansquare error being computed for each theory. The theory of van Driest-II gives the lowest root-mean-square error (11.0%).

A new calculation procedure is developed from the postulate that a unique relation exists between cfFc and RFR where cf is the drag coefficient, R is the Reynolds number, and Fc and FR are functions of Mach number and temperature ratio alone. The experimental data are found to be too scanty for both Fc and FR to be deduced empirically, so Fc is calculated by means of mixing-length theory and FR is found semi-empirically. Tables and charts of values of Fc and FR are presented for a wide range of MG and TS/TG. When compared with all experimental data, the predictions of the new procedure give a root-mean-square error of 9.9%.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 18 , Issue 1 , January 1964 , pp. 117 - 143
Copyright
© 1964 Cambridge University Press

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