Role of cryogenic helium in classical fluid dynamics: Basic research and model testing

Advances in Applied Mechanics

Volumn 37, Issue C, 2001, Pages 239-276

  Sreenivasan, Katepalli R ^a   Donnelly, Russell J ^b  

^a YALE UNIVERSITY   (United States)

^b UNIVERSITY OF OREGON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037913280     PISSN: 00652156     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0065-2156(00)80007-1     Document Type: Article

References (91)

1. Aarts R.G.K.M., and DeWaele A.T.A.M. Numerical simulation of superfluid turbulence near the critical velocity. Physica B 194-196 (1994) 725
2. Ashkenazi S., and Steinberg V. High Rayleigh number turbulent convection in a gas near the gas-liquid critical point. Phys. Rev. Lett. 83 (1999) 3641
3. Barenblatt G.I., and Chorin A.J. Scaling laws and zero viscosity limits for wall-bounded shear flows and the local structure in developed turbulence. Proc. Nat. Acad. Sci. 93 (1996) 6749
4. Barenghi C.F., and Samuels D.C. Self-consistent decay of superfluid turbulence. Phys. Rev. B. 60 (1999) 1252
5. Barenghi C.F., Samuels D.C., Bauer G.H., and Donnelly R.J. Superfluid vortex lines in a model of turbulent flow. Phys. Fluids 9 (1997) 2631
6. Batchelor G.K. The Theory of Homogeneous Turbulence (1953), Cambridge University Press, Cambridge
7. Bielert F., and Stamm G. Visualization of Taylor-Couette flow in superfluid helium. Cryogenics 33 (1993) 938
8. Bolgiano R. Structure of turbulence in stratified media. J. Geophys. Res. 67 (1962) 3105
9. Britcher C.P. Recent aerodynamic measurements with magnetic suspension systems. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 165
10. Britcher C.P. Application of magnetic suspension and balance systems to ultra-high Reynolds number facilities. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 165
11. Bushnell D.M. High Reynolds number testing requirements in (civilian) aeronautics. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 323
12. Bushnell D.M., and Greene G.C. High Reynolds number test requirements in low speed aerodynamics. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 19
13. 4He around 4K. J. de Phys III (France) 4 (1994) 671
14. Castaing B., Chabaud B., and Hebral B. Hot wire anemometer operating at cryogenic temperatures. Rev. Sci. Instr. 63 (1992) 4168
15. Castaing B., Gunaratne G.H., Heslot F., Kadanoff L., Libchaber A., Thomae S., Wu X.-Z., Zaleski S., and Zanetti G. Scaling of hard thermal turbulence in Raleigh-Bénard convection. J. Fluid Mech. 204 (1989) 1
16. Chevanne X., Chilla F., Castaing B., Hebral B., Chabaud B., and Chaussy J. Observations of the ultimate region in Rayleigh-Bénard convection. Phys. Rev. Lett. 79 (1997) 3648
17. Constantin P., Procaccia I., and Sreenivasan K.R. Fractal geometry of isoscalar surfaces in turbulence: Theory and experiment. Phys. Rev. Lett. 67 (1991) 1739
18. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York
19. Donnelly R.J. Quantized Vortices in Helium II (1991), Cambridge University Press, Cambridge
20. In: Donnelly R.J. (Ed). Cryogenic helium gas convection research: A discussion of opportunities for using the cryogenic facilities of the SSC laboratories for high Rayleigh number and high Reynolds number turbulence research (1994), Department of Physics, University of Oregon
21. Donnelly R.J., and Hollis Hallett A.C. Periodic boundary layer experiments in liquid helium. Ann. Phys. 3 (1958) 320
22. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York
23. Emsellem V., Kadanoff L.P., Lohse D., Tabeling P., and Wang Z.J. Transitions and probes in turbulent helium. Phys. Rev. E 55 (1997) 2672
24. Frisch U. Turbulence: The Legacy of A. N. Kolmogorov (1995), Cambridge University Press, Cambridge
25. Goldenfeld N. Lectures on Phase Transitions and the Renormalization Group (1992), Addison-Wesley, Reading, MA
26. Goodyer M.J. The six component magnetic suspension system for wind tunnel testing. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 131
27. Grant H.L., Stewart R.W., and Moilliet A. Turbulent spectrum in a tidal channel. J. Fluid Mech. 12 (1962) 241
28. Gray D.R. Lectures on Spectral Line Analysis: F, G and K Stars (1988), Aylmer Express Ltd., Ontario
29. Grossmann S., and Lohse D. Characteristic scales in Rayleigh-Bénard convection. Phys. Lett. A 173 (1993) 58
30. Howard L.N. Bounds on flow quantities. Annu. Rev. Fluid Mech. 4 (1972) 473
31. In: Hunt J.C.R., Phillips O.M., and Williams D. (Eds). Turbulence and Stochastic Processes: Kolmogorov's Idea 50 Years On (1991), Royal Society of London
32. Ichikawa N., and Murakami M. Application of flow visualization technique to superflow experiment. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 209
33. Kilgore R.A. Cryogenic wind tunnels. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 53
34. Kilgore R.A. Cryogenic wind tunnels for aerodynamic testing. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 66
35. Kistler A.L., and Vrebalovich T. Grid turbulence at large Reynolds numbers. J. Fluid Mech. 26 (1966) 37
36. Kolmogorov A.N. Local structure of turbulence in an incompressible fluid at very high Reynolds numbers. Dokl. Akad. Nauk. SSSR 30 (1941) 299
37. Kolmogorov A.N. Energy dissipation in locally isotropic turbulence. Dokl. Akad. Nauk, SSSR 32 (1941) 19
38. Kraichnan R.H. Turbulent thermal convection at arbitrary Prandtl number. Phys. Fluids 5 (1962) 1374
39. Krishnamurti R. On cellular cloud patterns. Part 1: Mathematical model. J. Atm. Sci. 32 (1975) 1353
40. Laing R.A., and Rorschach Jr. H.E. Hydrodynamic drag on spheres moving in liquid helium. Phys. Fluids 4 (1961) 564
41. Lambert R.B., Snyder H.A., and Karlsson S.K.F. Hot thermistor anemometer for finite amplitude stability measurements. Rev. Sci. Inst. 36 (1965) 924
42. Lawing P.L. Magnetic suspension-Today's marvel, tomorrow's tool. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 153
43. Lipa J. Cryogenic thermometry for turbulence research: An overview. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 179
44. L'vov V., and Procaccia I. Hydrodynamic turbulence: A 19th century problem with a challenge for the 21st century. Phys. World 9 (1996) 35
45. Maurer J., and Tabeling P. Local investigation of superfluid turbulence. Europhys. Lett. 43 (1998) 29
46. 4He mixtures: measurement of the superfluid effects. Phys. Rev. A 41 (1990) 5735
47. Monin A.S., and Yaglom A.M. Statistical Fluid Mechanics Vol. 1 (1971), The MIT Press, Cambridge, MA
48. Monin A.S., and Yaglom A.M. Statistical Fluid Mechanics Vol. 2 (1975), The MIT Press, Cambridge, MA
49. Murakami M., Hanada M., and Yamazaki T. Flow visualization study of large-scale vortex ring in He II. Japan J. Appl. Phys. 26 (1987) 107
50. Murakami M., Nakano A., and Iida T. Applications of a laser Doppler velocimeter and some visualization methods to the measurement of He II thermo-fluid dynamic phenomena. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 159
51. Murakami M., Yamazaki T., Nakano D.A., and Nakai H. Laser Doppler velocimeter applied to superflow measurement. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 215
52. Nelkin M. University and scaling in fully developed turbulence. Adv. Phys. 43 (1994) 143
53. Niemela J., Skrbek L., Sreenivasan K.R., and Donnelly R.J. Turbulent convection at very high Rayleigh numbers. Nature 404 (2000) 837-840
54. To appear in. Niemela J., Skrbek L., Sreenivasan K.R., and Donnelly R.J. Comments on high Rayleigh number convection. In: Kambe T. (Ed). Proc. IUTAM Symposium on the Geometry and Statistics of Turbulence (2000)
55. Onsager L. Statistical hydrodynamics. Nuovo Cimento Suppl. VI ser. IX (1949) 279
56. Perrin B. Emergence of a periodic mode in the so-called turbulent region in a circular Couette flow. J. Phys. Lett. 43 (1982) L5
57. Quack H.H. European large scale helium refrigeration. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 52
58. Roberts P.H., and Donnelly R.J. Superfluid mechanics. Annu. Rev. Fluid Mech. 6 (1974) 179
59. Roshko A. Experiments in the flow past a circular cylinder at very high Reynolds numbers. J. Fluid Mech. 1 (1961) 345
60. Saddoughi S., and Veeravalli S. Local isotropy in turbulent boundary layers at high Reynolds numbers. J. Fluid Mech. 268 (1994) 333
61. Schlichting H. Boundary-Layer Theory (1956), McGraw-Hill, New York
62. 4He: Line-line and line-boundary interactions. Phys. Rev. B 31 (1985) 5782
63. 4He: Homogeneous superfluid turbulence. Phys. Rev. B 38 (1988) 2398
64. Shraiman B., and Siggia E. Anomalous scaling of a passive scalar in turbulent flow. C. R. Acad. Sci. Paris 321 Series IIb (1995) 279
65. Sinai Y.G., and Yakhot V. Limiting probability distributions of a passive scalar in a random velocity field. Phys. Rev. Lett. 63 (1989) 1962
66. (submitted for publication). Skrbek L., and Stalp S. On the decay of homogeneous isotropic turbulence (1999)
67. Smelt R. Power economy in high-speed wind tunnel by choice of working fluid and temperature. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1945), Springer-Verlag, New York 265
68. Smith M.R. Evolution and propagation of turbulence in helium II. Ph.D. thesis (1993), University of Oregon, Eugene
69. Smith M.R., Hilton D.K., and Van Sciver S.W. Observed drag crisis on a sphere in flowing He I and He II. Phys. Fluids 11 (1999) 751
70. Smits A.J., and Zagarola M.V. Design of a high Reynolds number testing facility using compressed air. AIAA Paper 97-1917, IV Shear Flow Conference. Snowmass, CO (1997)
71. Sondericker J.H. A brief overview of the RHIC cryogenic system. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1988), Springer-Verlag, New York 436
72. Sreenivasan K.R. On the scaling of the turbulent energy dissipation rate. Phys. Fluids 27 (1984) 1048
73. Sreenivasan K.R., and Antonia R.A. The phenomenology of small-scale turbulence. Annu. Rev. Fluid Mech. 29 (1997) 435
74. Sreenivasan K.R., and Meneveau C. Singularities of the equations of fluid motion. Phys. Rev. A 38 (1988) 6287
75. Stalp S.R. Decay of grid turbulence in superfluid turbulence. Ph.D. thesis (1998), University of Oregon, Eugene
76. Stalp S.R., Skrbek S., and Donnelly R.J. Decay of grid turbulence in a finite channel. Phys. Rev. Lett. 82 (1999) 4831
77. Stamm G., Bielert F., Fisdon W., and Piechna J. Counterflow-induced macroscopic vortex rings in superfluid helium: Visualization and numerical simulation. Physica B 193 (1994) 188
78. Swanson C., and Donnelly R.J. Instrument development for high Reynolds number flows in liquid helium. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 206
79. Swanson C.J., Johnson K., and Donnelly R.J. An accurate differential pressure gauge for use in liquid and gaseous helium. Cryogenics 38 (1988) 673
80. Tabeling P., Zocchi G., Belin F., Maurer J., and Willaime H. Probability density function, skewness and flatness in large Reynolds number turbulence. Phys. Rev. E 53 (1996) 1613
81. Tennekes H., and Lumley J.L. A First Course in Turbulence (1972), The MIT Press, Cambridge, MA
82. Threlfall C. Free convection in low-temperature gaseous helium. J. Fluid Mech. 67 (1975) 17
83. Van Sciver S.W. Experimental investigations of He II flows at high Reynolds number. In: Donnelly R.J. (Ed). High Reynolds Number Flows Using Liquid and Gaseous Helium (1991), Springer-Verlag, New York 223
84. Van Sciver S.W., Holmes D.S., Huang X., and Weisend II J.G. He II flowmetering. Cryogenics 31 (1991) 75
85. Vinen W.F. Vortex lines in liquid helium II. In: Gorter C.J. (Ed). Prog. Low Temp. Phys. Vol. III (1961), North-Holland Publishing Co., Amsterdam 1
86. Vinen W.F. Why is turbulence in a quantum liquid often similar to that in a classical liquid?. Phys. Rev. B 61 (2000) 1410
87. Walstrom P.L., Weisend II J.G., Maddocks J.R., and Van Sciver S.W. Turbulent flow pressure drop in various He II transfer system components. Cryogenics 28 (1988) 101
88. Woodcraft A.L., Lucas P.G.J., Matley R.G., and Wong W.Y.T. First images of controlled convection in liquid helium. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 436
89. Wu X.-Z. Along the road to developed turbulence: Free thermal convection in low temperature helium gas. Ph.D thesis (1991), University of Chicago
90. Wybourne M., and Smith J. Considerations for small detectors in high Reynolds number experiments. In: Donnelly R.J., and Sreenivasan K.R. (Eds). Flow at Ultra-High Reynolds and Rayleigh Numbers: A Status Report (1998), Springer-Verlag, New York 329
91. Zagarola M., and Smits A.J. Scaling of the mean velocity profiles for turbulent pipe flow. Phys. Rev. Lett. 78 (1997) 239