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Experiment on the geometry of the fine-structure regions in fully turbulent fluid

Published online by Cambridge University Press:  29 March 2006

Albert Yi-Shuong Kuo  and
Stanley Corrsin
Albert Yi-Shuong Kuo
Affiliation:
Department of Mechanics, The Johns Hopkins University Present address: Virginia Institute of Marine Science, Gloucester Point, Virginia 23062.
Stanley Corrsin
Affiliation:
Department of Mechanics, The Johns Hopkins University
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Abstract

An attempt has been made to identify the geometric character of the random fine-structure regions dispersed in fully turbulent fluid. The technique was measure-ment of two-position coincidence functions for the presence of velocity fine-structure. In this primitive approach, we tried to distinguish among only three possible categories for the random shapes: (a) ‘blobs’, (b) ‘rods’ and (c) 'slabs’, depending on whether three mean orthogonal dimensions of the domains were such that (a) all were of the same order, (b) one was an order larger than the other two, or (c) one was an order smaller than the other two.

Highly idealized paradigms for these three categories were studied analytically: the two-position coincidence functions were computed for the cases of (a) spheres, (b) circular cylinders and (c) plane slabs, each field containing randomly sized elements distributed randomly in space with a homogeneous and isotropic distribution. Comparison of the measured coincidence functions with these three paradigms suggests that the fine-structure regions are more nearly of ‘rod-like’ geometry than like either of the other two. No attempt was made to distinguish shapes which might be called 'strips’.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 56 , Issue 3 , 12 December 1972 , pp. 447 - 479
Copyright
© 1972 Cambridge University Press

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References

Batchelor, G. K. 1959 J. Fluid Mech. 5, 113.
Batchelor, G. K. & Townsend, A. A. 1949 Proc. Roy. Soc. A 199, 238.
Batchelor, G. K. & Townsend, A. A. 1956 Turbulent diffusion. Survey in Mechanics (ed. G. K. Batchelor and R. M. Davies). Cambridge University Press.
Betchov, R. 1956 J. Fluid Mech. 1, 497.
Comte-Bellot, G. & Corrsin, S. 1966 J. Fluid Mech. 25, 657.
Comte-Bellot, G. & Corrsin, S. 1971 J. Fluid Mech. 48, 273.
Corrsin, S. 1955 Quart. Appl. Math. 12, 404.
Corrsin, S. 1962 Phys. Fluids, 5, 1301.
Corrsin, S. & Phillips, O. M. 1961 J. Soc. Induat. Appl. Math. 9, 395.
Friedman, B. 1956 Principles and Techniques in Applied Mathematics, Wiley.
Gibson, C. H., Stegen, G. R. & Williams, R. B. 1970 J. Fluid Mech. 41, 153.
KUO, A. Y.-S. 1970 Experiments on the internal intermittency in turbulent flow. Ph.D. these, The Johns Hopkins University.
Kuo, A. Y.-S. & Corrsin, S. 1970 Bull. Am. Phys. Soc. Ser. II, 15, 1539.
Kuo, A. W. B. & Corrsin, S. 1971 J. Fluid Mech. 50, 285.
Lumley, J. L. 1972 Proc. Convegno sulla Teoria della Turbulenza (1971), Rome (in press).
Pawula, R. F. 1968 I.E.E.E. Trans. on Information Theory, 14, 770.
Tennekes, H. 1968 Phys. Fluids, 11, 669.
Townsend, A. A. 1951a Proc. Roy. Soc. A 208, 534.
Townsend, A. A. 1951 Proc. Roy. Soc. A 209, 418.