Hostname: page-component-848d4c4894-4rdrl Total loading time: 0 Render date: 2024-06-16T05:01:45.284Z Has data issue: false hasContentIssue false

The return to isotropy of an homogeneous turbulence having been submitted to two successive plane strains

Published online by Cambridge University Press:  19 April 2006

J. N. Gence
Affiliation:
Laboratoire de Mécanique des Fluides, Ecole Centrale de Lyon and Université Claude Bernard - Lyon I
J. Mathieu
Affiliation:
Laboratoire de Mécanique des Fluides, Ecole Centrale de Lyon and Université Claude Bernard - Lyon I

Abstract

The authors consider an homogeneous non-isotropic turbulence which develops without mean velocity gradient so that it should return to isotropy. This turbulence has been obtained by application of two successive plane strains to a grid-generated turbulence, and this configuration has already been described in a preceding paper. It is shown in particular that the nonlinear effects make no significant contribution to the rotation of the principal axes of the Reynolds stress tensor. In the case of the return to isotropy, an important parameter connected with the turbulent energy distribution between three directions comes into play. In the present experiment it has a positive sign whereas in previous experiments this sign was negative. In particular, the authors conclude that, when this parameter is positive, the return to isotropy is slower than in the opposite case.

Type
Research Article
Copyright
© 1980 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cambon, C. 1979 Modélisation spectrale en turbulence homogène anisotrope. Thèse de Docteur Ingénieur, Université de Lyon I.
Gence, J. N. & Mathieu, J. 1979 On the application of successive plane strains to grid-generated turbulence. J. Fluid Mech. 93, 501.Google Scholar
Lumley, J. L. & Newman, G. 1977 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161.Google Scholar
Mills, R. R. & Corrsin, S. 1959 Effect of contraction on turbulence and temperature fluctuations generated by a warm grid. N.A.S.A. Memo 5-5-59 W.Google Scholar
Orszag, S. 1970 Analytical theories of turbulence. J. Fluid Mech. 41, 363.Google Scholar
Schumann, U. & Patterson, G. S. 1978 Numerical study of the return of axisymmetric turbulence to isotropy. J. Fluid Mech. 88, 711.Google Scholar
Tücker, J. & Reynolds, A. J. 1968 The distortion of turbulence by irrotational plane strain. J. Fluid Mech. 32, 657.Google Scholar
Uberoi, M. S. 1956 Effect of wind tunnel contraction on free-stream turbulence. J. Aero. Sci. 23, 754.Google Scholar