Study of the von Kármán flow between coaxial corotating disks

Physics of Fluids

Volumn 8, Issue 4, 1996, Pages 914-922

  Labbe R ^a,b   Pinton, J F ^a   Fauve, S ^a  

^a UNIVERSITÉ DE LYON   (France)

^b UNIVERSIDAD DE SANTIAGO DE CHILE   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

DISCS-ROTATING; FLOW; VON KARMAN;

EID: 0029656398     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.868871     Document Type: Article

References (20)

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2. K. G. Picha, "An experimental study of the flow between two rotating coaxial disks," Ph.D. thesis, University of Minnesota, 1957.
3. K. G. Picha and E. R. G. Eckert, "Study of the air flo w between coaxial disks rotating with arbitrary velocities in an open or enclosed space," Proceedings of the 3rd U.S. National Congress on Applied Mechanics, 1958, pp. 791-798.
4. W. E. Welsh and J. P. Harnett, "Velocity measurements in the boundary layer and in the main flow between two coaxial disks rotating with equal velocities in air," in Ref. 3.
5. G. K. Batchelor, "Note on a class of solutions of the Navier-Stokes equations representing steady rotationally-symmetric flow," Q. J. Mech. Appl. Math. 4, 29 (1951).
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7. S. Douady, Y. Couder, and M.-E. Brachet, "Direct observation of the intermittency of intense vorticity filaments in turbulence," Phys. Rev. Lett. 67, 983 (1991).
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10. J. Maurer, P. Tabeling, and G. Zocchi, "Statistics of turbulence between two counterrotating disks in low-temperature helium gas," Europhys. Lett. 26, 31 (1994).
11. J.-F. Pinton and R. Labbé, "Correction to the Taylor hypothesis in swirling flows," J. Phys. II France 4, 1461 (1994).
12. The experimental setup is surrounded by movable walls and the measurements are performed with the room closed and vacant in order to eliminate the effect of possible ambient laboratory air motion. The results do not depend on the position of the walls when they are placed far enough from the disks (more than one meter).
13. S. Ciliberto, S. Douady, and S. Fauve, "Investigating space-time chaos in Faraday instability by means of the fluctuations of the driving acceleration," Europhys. Lett. 15, 23 (1991).
14. P. Abry and P. Flandrin, "Apports d'analyses temps-échelle a l'étude d'une transition ordre-désordre," Proceedings of the International Conference on Wavelets and Applications, Toulouse, France, 1992 [also in Progress in Wavelets Analysis and Applications, edited by Y. Meyer and S. Roques (Editions Frontières, 1993), pp. 311-314).
15. P. Abry and P. Flandrin, "Apports d'analyses temps-échelle a l'étude d'une transition ordre-désordre," Proceedings of the International Conference on Wavelets and Applications, Toulouse, France, 1992 [also in Progress in Wavelets Analysis and Applications, edited by Y. Meyer and S. Roques (Editions Frontières, 1993), pp. 311-314).
16. S. Nagata, Mixing (Wiley, New York, 1975), Chap. 1.
17. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, MA, 1972).
18. For recent studies in this direction, see, for instance,. A. Pumir, "Persistent small scale anisotropy in homogeneous shear flows," 1995 (preprint).
19. The circular precesdsion of a vortex of constant strength should not modify the total power. Note, however, that such a motion is unlikely in our turbulent flow. A noncircular precession is enough to explain the time dependence of the total power. The presence of the blades also breaks the azimuthal symmetry.
20. S. T. Thoroddsen, "Reevaluation of the experimental support for the Kolmogorov refined similarity hypothesis," Phys. Fluids 7, 691 (1995).