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Velocity-derivative skewness in small Reynolds number, nearly isotropic turbulence

Published online by Cambridge University Press:  19 April 2006

S. Tavoularis ,
J. C. Bennett  and
S. Corrsin
S. Tavoularis
Affiliation:
Department of Mechanics and Materials Science, The Johns Hopkins University, Baltimore, Maryland 21218
J. C. Bennett
Affiliation:
United Technologies Research Center, East Hartford, Connecticut 06108
S. Corrsin
Affiliation:
United Technologies Research Center, East Hartford, Connecticut 06108
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Abstract

Previous measurements in the moderate to small Reynolds number range of isotropic turbulence have all shown the skewness factor $S\equiv -{\overline{(\partial u/\partial x)^3}}/[\overline{(\partial u/\partial x)^2}]^{\frac{3}{2}}$ of the streamwise velocity derivative to increase with decreasing Reynolds number. This ‘paradoxical’ trend was found for 150 ≥ Rλ ≥ 4. New data covering the range 4 ≥ Rλ ≥ 1 show a maximum S for Rλ between 4 and 3 and a rapid decrease for Rλ < 2.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 88 , Issue 1 , 13 September 1978 , pp. 63 - 69
Copyright
© 1978 Cambridge University Press

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References

Batchelor, G. K. 1953 The Theory of Homogeneous Turbulence. Cambridge University Press.
Batchelor, G. K. & Townsend, A. A. 1948 Proc. Roy. Soc. A 194, 527.
Batchelor, G. K. & Townsend, A. A. 1949 Proc. Roy. Soc. A 199, 238.
Bennett, J. C. & Corrsin, S. 1978 Submitted to Phys. Fluids.Google Scholar
Betchov, R. & Lorenzen, C. 1974 Phys. Fluids 17, 1503.
Champagne, F. H., Pao, Y. H. & Wygnanski, I. J. 1976 J. Fluid Mech. 74, 209.
Comte-Bellot, G. 1965 Publ. Sci. Tech. Minist. de l'Air no. 419.
Deissler, R. G. 1957 Phys. Fluids 1, 111.
Elena, M., Chauve, M.-P. & Dumas, R. 1977 C. R. Acad. Sci. Paris B 284, 77.
Frenkiel, F. & Klebanoff, P. S. 1971 J. Fluid Mech. 48, 183.
Friehe, C., Van atta, C. W. & Gibson, C. H. 1972 Proc. AGARD Conf. Turbulent Shear Flows, London, Sept. 1971. AGARD Conf. Proc. no. 83, p. 18–1.
Gibson, C. H., Stegen, G. R. & Williams, R. B. 1970 J. Fluid Mech. 41, 153.
Kármán, T. Von & Howarth, L. 1938 Proc. Roy. Soc. A 164, 192.
Kuo, A. Y. & Corrsin, S. 1971 J. Fluid Mech. 50, 285.
Lin, C. C. & Reid, W. H. 1963 Turbulent Flow, Theoretical Aspects. Handbuch der Physik, vol. 8, p. 485. Springer.
Mills, R. R., Kistler, A. L., O'BRIEN, V. & Corrsin, S.1958 N.A.C.A. Tech. Note no. 4288.
Saffman, P. G. 1967 J. Fluid Mech. 27, 581.
Stewart, R. W. & Townsend, A. A. 1951 Phil. Trans. Roy. Soc. A 243, 359.
Tavoularis, S. 1978 Ph.D. dissertation, The Johns Hopkins University, Baltimore.
Taylor, G. I. 1938 Proc. Roy. Soc. A 164, 15.
Ueda, H. & Hinze, J. O. 1975 J. Fluid Mech. 67, 125.
Wyngaard, J. C. & Tennekes, H. 1970 Phys. Fluids 13, 1962.