Turbulent velocity spectra in superfluid flows

Physics of Fluids

Volumn 22, Issue 12, 2010, Pages

  Salort, J ^a   Baudet, C ^b   Castaing, B ^c   Chabaud, B ^a   Daviaud, F ^d   Didelot, T ^a   Diribarne, P ^a   Dubrulle, B ^d   Gagne, Y ^b   Gauthier, F ^a   Girard, A ^e   Hebral B ^a   Rousset, B ^e   Thibault, P ^a   Roche, P E ^a  

^a CNRS   (France)

^b LEGI   (France)

^c UNIVERSITÉ DE LYON   (France)

^d CEA SACLAY   (France)

^e CEA GRENOBLE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

TURBULENCE; WIND TUNNELS;

CLASSICAL TURBULENCES; SECOND ORDER STATISTICS; STAGNATION PRESSURES; SUPERFLUID TRANSITIONS; SUPERFLUID VELOCITY; TURBULENT CASCADE; TURBULENT VELOCITY; VELOCITY SPECTRUM;

VELOCITY;

EID: 79251577741     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3504375     Document Type: Article

References (40)

1. Landau L. Lifshitz E. Fluid Mechanics 1987, 6. and Course of Theoretical Physics, 2nd ed. (Pergamon Press, ), Vol.
2. Castaing B. Chabaud B. Hébral B. Naert A. Peinke J. Turbulence at helium temperature: Velocity measurements. Physica B 1994, 194-196:697. PHYBE3, 0921-4526, 10.1016/0921-4526(94)90678-5.
3. Zocchi G. Tabeling P. Maurer J. Willaime H. Measurement of the scaling of the dissipation at high Reynolds numbers. Phys. Rev. E 1994, 50:3693. PLEEE8, 1063-651X, 10.1103/PhysRevE.50.3693.
4. Chanal O. Chabaud B. Castaing B. Hébral B. Intermittency in a turbulent low temperature gaseous helium jet. Eur. Phys. J. B 2000, 17:309. EPJBFY, 1434-6028, 10.1007/s100510070146.
5. Pietropinto S. Poulain C. Baudet C. Castaing B. Chabaud B. Gagne Y. Hébral B. Ladam Y. Lebrun P. Pirotte O. Roche P. Superconducting instrumentation for high Reynolds turbulence experiments with low temperature gaseous helium. Physica C 2003, 386:512. PHYCE6, 0921-4534, 10.1016/S0921-4534(02)02115-9.
6. Holmes D.S. Sciver S.V. Attenuation of second sound in bulk flowing He II. J. Low Temp. Phys. 1992, 87:73. JLTPAC, 0022-2291, 10.1007/BF00141568.
7. Smith M.R. Donnelly R.J. Goldenfeld N. Vinen W.F. Decay of vorticity in homogeneous turbulence. Phys. Rev. Lett. 1993, 71:2583. PRLTAO, 0031-9007, 10.1103/PhysRevLett.71.2583.
8. Stalp S.R. Niemela J.J. Dissipation of grid turbulence in helium II. Phys. Fluids 2002, 14:1377. PHFLE6, 1070-6631, 10.1063/1.1449902.
9. Skrbek L. Gordeev A. Soukup F. Decay of counterflow He II turbulence in a finite channel: Possibility of missing links between classical and quantum turbulence. Phys. Rev. E 2003, 67:047302. PLEEE8, 1063-651X, 10.1103/PhysRevE.67.047302.
10. Roche P.-E. Diribarne P. Didelot T. Français O. Rousseau L. Willaime H. Vortex density spectrum of quantum turbulence. EPL 2007, 77:66002. EULEEJ, 0295-5075, 10.1209/0295-5075/77/66002.
11. Maurer J. Tabeling P. Local investigation of superfluid turbulence. EPL 1998, 43:29. EULEEJ, 0295-5075, 10.1209/epl/i1998-00314-9.
12. The confirmation previously cited by Roche (Ref. 10) is presented in the present paper.
13. Merahi L. Sagaut P. Abidat M. A closed differential model for large-scale motion in HVBK fluids. EPL 2006, 75:757. EULEEJ, 0295-5075, 10.1209/epl/i2006-10178-5.
14. Roche P.-E. Barenghi C. Lévêque E. Quantum turbulence at finite temperature: The two-fluids cascade. EPL 2009, 87:54006. EULEEJ, 0295-5075, 10.1209/0295-5075/87/54006.
15. Nore C. Abid M. Brachet M. Decaying Kolmogorov turbulence in a model of superflow. Phys. Fluids 1997, 9:2644. PHFLE6, 1070-6631, 10.1063/1.869473.
16. Araki T. Tsubota M. Nemirovskii S.K. Energy spectrum of superfluid turbulence with no normal-fluid component. Phys. Rev. Lett. 2002, 89:145301. PRLTAO, 0031-9007, 10.1103/PhysRevLett.89.145301.
17. Kobayashi M. Tsubota M. Kolmogorov spectrum of superfluid turbulence: Numerical analysis of the gross-Pitaevskii equation with a small-scale dissipation. Phys. Rev. Lett. 2005, 94:065302. PRLTAO, 0031-9007, 10.1103/PhysRevLett.94.065302.
18. Vinen W.F. Niemela J.J. Quantum turbulence. J. Low Temp. Phys. 2002, 128:167. JLTPAC, 0022-2291, 10.1023/A:1019695418590.
19. Haruyama T. Kimura N. Nakamoto T. FPS51B-a small piezo-resistive silicon pressure sensor for use in superfluid helium. 1998, and in 17th International Cryogenic Engineering Conference, ICEC17 (Taylor & Francis, Bournemouth, 14-17 July ).
20. Maeda M. Sato A. Yuyama M. Kosuge M. Matsumoto F. Nagai H. Characteristics of a silicon pressure sensor in superfluid helium pressurized up to 1.5 MPa. Cryogenics 2004, 44:217. CRYOAX, 0011-2275, 10.1016/j.cryogenics.2003.12.003.
21. Maurer J. Tabeling P. Zocchi G. Statistics of turbulence between 2 counterrotating disks in low-temperature helium gas. EPL 1994, 26:31. EULEEJ, 0295-5075, 10.1209/0295-5075/26/1/006.
22. Rousset B. Baudet C. Mardion M.B. Castaing B. Communal D. Daviaud F. Diribarne P. Dubrulle B. Forgeas A. Gagne Y. Girard A. Hébral B. Roche P.-E. Roussel P. Thibault P. Tsf experiment for comparison of high Reynolds number turbulence in both He I and He II: First results. AIP Conf. Proc. 2008, 53:633. APCPCS, 0094-243X, 10.1063/1.2908608.
23. Diribarne P. Salort J. Baudet C. Belier B. Castaing B. Chevillard L. Daviaud F. David S. Dubrulle B. Gagne Y. Girard A. Rousset B. Tabeling P. Thibault P. Willaime H. Roche P.-E. Advances in Turbulence XII, ETC12 2009, 701. B. Eckhardt, 10.1007/978-3-642-03085-7_169, and in edited by (Springer-Verlag, Marburg, ), p.
24. Comte-Bellot G. Corrsin S. The use of a contraction to improve the isotropy of grid-generated turbulence. J. Fluid Mech. 1966, 25:657. JFLSA7, 0022-1120, 10.1017/S0022112066000338.
25. Mohamed M.S. LaRue J.C. The decay power law in grid-generated turbulence. J. Fluid Mech. 1990, 219:195. JFLSA7, 0022-1120, 10.1017/S0022112090002919.
26. Pope S.B. Turbulent Flows 2000, (Cambridge University Press, Cambridge, ).
27. Comte-Bellot G. Corrsin S. Simple Eulerian time correlation of full- and narrow-band velocity signals in grid-generated 'isotropic' turbulence. J. Fluid Mech. 1971, 48:273. JFLSA7, 0022-1120, 10.1017/S0022112071001599.
28. Gad-el-Hak M.G. Corrsin S. Measurements of the nearly isotropic turbulence behind a uniform jet grid. J. Fluid Mech. 1974, 62:115. JFLSA7, 0022-1120, 10.1017/S0022112074000607.
29. Gibson C. Schwarz W. The universal equilibrium spectra of turbulent velocity and scalar fields. J. Fluid Mech. 1963, 16:365. JFLSA7, 0022-1120, 10.1017/S0022112063000835.
30. Schedvin J. Stegen G. Gibson C. Universal similarity at high grid reynolds numbers. J. Fluid Mech. 1974, 65:561. JFLSA7, 0022-1120, 10.1017/S0022112074001546.
31. Sreenivasan K.R. On the universality of the Kolmogorov constant. Phys. Fluids 1995, 7:2778. PHFLE6, 1070-6631, 10.1063/1.868656.
32. Lienhard J.H. Synopsis of lift, drag, and vortex frequency data for rigid circular cylinders. 1966, Research Division Bulletin, Washington State University, 300.
33. Simand C. Chillà F. Pinton J.-F. Inhomogeneous turbulence in the vicinity of a large-scale coherent vortex. EPL 2000, 49:336. EULEEJ, 0295-5075, 10.1209/epl/i2000-00501-8.
34. Roche P.-E. Barenghi C. Vortex spectrum in superfluid turbulence: Interpretation of a recent experiment. EPL 2008, 81:36002. EULEEJ, 0295-5075, 10.1209/0295-5075/81/36002.
35. Paoletti M. Fisher M.E. Sreenivasan K. Lathrop D. Velocity statistics distinguish quantum turbulence from classical turbulence. Phys. Rev. Lett. 2008, 101:154501. PRLTAO, 0031-9007, 10.1103/PhysRevLett.101.154501.
36. White A. Barenghi C. Proukakis N. Youd A. Wacks D. Nonclassical velocity statistics in a turbulent atomic Bose-Einstein condensate. Phys. Rev. Lett. 2010, 104:075301. PRLTAO, 0031-9007, 10.1103/PhysRevLett.104.075301.
37. Barth S. Koch H. Kittel A. Peinke J. Burgold J. Wurmus H. Laser-cantilever anemometer: A new high-resolution sensor for air and liquid flows. Rev. Sci. Instrum. 2005, 76:075110. RSINAK, 0034-6748, 10.1063/1.1979467.
38. Uberoi M. Quadruple velocity correlations and pressure fluctuations in isotropic turbulence. J. Aerosp. Sci. 1953, 20:197. JASSA7, 0095-9820.
39. Batchelor G. Pressure fluctuations in isotropic turbulence. Proc. Cambridge Philos. Soc. 1951, 47:359. PCPSA4, 0068-6735, 10.1017/S0305004100026712.
40. Schumann U. Patterson G. Numerical study of pressure and velocity fluctuations in nearly isotropic turbulence. J. Fluid Mech. 1978, 88:685. JFLSA7, 0022-1120, 10.1017/S0022112078002347.