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The effect of pressure gradient on the law of the wall in turbulent flow

Published online by Cambridge University Press:  28 March 2006

Henry Mcdonald
Henry Mcdonald
Affiliation:
United Aircraft Research Laboratories, East Hartford, Connecticut
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Abstract

The effect of a streamwise pressure gradient on the velocity profile in the viscous sublayer of a turbulent flow along a smooth wall in two-dimensional flow is estimated. In the analysis, a similarity argument is used and the necessary empirical information obtained from a constant pressure flow. An allowance is made for the departure from the wall value of the gradient of total shear stress normal to the wall. The results of analysis were used to generate new additive constants for use with Townsend's modified law of the wall velocity profile and subsequently Townsend's profile is found to be in good agreement with the measured velocity profiles in an adverse pressure gradient.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 2 , 16 January 1969 , pp. 311 - 336
Copyright
© 1969 Cambridge University Press

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References

Bradshaw, P. 1965 N.P.L. Aero Report 1172.
Bradshaw, P. 1966 N.P.L. Aero Report 1184.
Bradshaw, P. & Feriss, D. H. 1965 N.P.L. Aero Report 1145.
Coles, D. 1956 J. Fluid Mech. 1, 191–226.
Escudier, M. P. & Spalding, D. B. 1965 Aeronautical Research Council of Great Britain Note ARC 27, 302.
Hinze, J. O. 1959 Series in Mechanical Engineering. New York: McGraw-Hill.
Johnston, J. P. 1957 Sc.D. Thesis, Massachusetts Institute of Technology; also M.I.T. Gas Turbine Lab Report 39.
Mellor, G. L. 1966a J. Fluid Mech. 24, 225–253.
Mellor, G. L. 1966b J. Fluid Mech. 24, 255–274.
Newman, B. G. 1951 Australian Aeronautical Research Consultative Committee Report ACA-53.
Patel, V. C. 1965 J. Fluid Mech. 23, 185–208.
Perry, A. E. 1966 J. Fluid Mech. 26, 481–506.
Perry, A. E., Bell, J. B. & Joubert, P. N. 1966 J. Fluid Mech. 25, 299–320.
Rannie, W. D. 1956 J. Aero. Sci. 23, 485–489.
Rotta, J. C. 1962 Progress in Aeronautical Sciences, vol. 2. Eds., A. Ferri, D. Kucheman, L. H. G. Sterne, Oxford: Pergamon.
Sandborn, V. A. & Slogar, R. J. 1955 NACA TN 3264.
Schubauer, G. B. & Klebanoff, P. S. 1951 NACA Report 1030.
Spangenberg, W. G., Rowland, W. R. & Mease, N. E. 1967 Fluid Mechanics of Internal Flow. Ed. Gino Sovran. Amsterdam: Elsevier.
Stratford, B. S. 1959a J. Fluid Mech. 5, 1–16.
Stratford, B. S. 1959b J. Fluid Mech. 5, 17–35.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1961 J. Fluid Mech. 11, 97–120.
Townsend, A. A. 1962 J. Fluid Mech. 12, 536–554.