Abstract
Recent experiments have shown that it is possible to implement Particle Image Velocimetry (PIV) in liquid helium. However, to interpret the PIV data in the superfluid phase, it is necessary to understand how the particles are affected by the two components, the viscous normal fluid and the inviscid superfluid, as well as by the quantized vortex lines that may exist in the superfluid component. The chapter is supplemented by exercises aiming to assist the reader in better understanding this rapidly developing area of research.
I am grateful to CISM for organizing the Advanced School “Vortices and Turbulence at Very Low Temperature”, and to Professor A. Soldati (University of Udine) for encouraging this School. On behalf of C. F, Barenghi (Newcastle University), D. Kivotides (University of California Santa Barbara), and myself, who contributed to the original research described in this Chapter, I wish to thank EPSRC for support provided by Grants GR/T08876/01 and EP/D061601. I am also grateful to Dr. D. C. Swailes, who was the first reader of the manuscript, for useful comments and suggestions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
T. R. Auton, J. C. R. Hunt, and M. Prud’homme, J. Fluid Mech., 197:241, 1988.
A. Babiano, J. H. E. Cartwright, O. Piro, and A. Provenzale, Phys. Rev. Lett. 84:5764, 2000.
C. F. Barenghi, D. Kivotides, and Y. A. Sergeev, J. Low Temp. Phys., 148:293, 2007.
G. K. Batchelor, An Introduction to Fluid Dynamics. Cambridge University Press, 1973.
N. G. Berloff and P. H. Roberts, Phys. Rev. B, 63:024510, 2000.
G. P. Bewley, D. P. Lathrop, and K. R. Sreenivasan, Nature, 44:588, 2006.
G. P. Bewley, D. P. Lathrop, K. R. Sreenivasan, and M. S. Paoletti, 2007, in preparation.
D. Celik and S. W. Van Sciver, Exp. Therm. Fluid Sci., 26:971, 2002
R.J. Donnelly, A. N. Karpetis, J. J. Niemela, K. R. Sreenivasan, and W. F. Vinen, J. Low Temp. Phys., 126:327, 2002.
R. P. Feynman. In C. J. Corter, editor. Progress in Low Temperature Physics, Vol. 1. North-Holland, Amsterdam, p. 17, 1955.
H. E. Hall and W. F. Vinen, Proc. R. Soc. London, Ser. A, 238:215, 1956.
O. C. Idowu, D. Kivotides, C. F. Barenghi, and D. C. Samuels, J. Low Temp. Phys., 130:269, 2000a.
O. C. Idowu, A. Willis, C. F. Barenghi, and D. C. Samuels, Phys. Rev. B, 62:3409, 2000b.
J. Jäger, B. Schuderer, and W. Schoepe, Phys. Rev. Lett., 74:566, 1995.
I. Kim, S. Elghobashi, and W. A. Sirignano, J. Fluid Mech., 367:221, 1998.
D. Kivotides, J. C. Vassilicos, D. C. Samuels, and C. F. Barenghi, Phys. Rev. Lett., 86:3080, 2001.
D. Kivotides, C. F. Barenghi, and Y. A. Sergeev, Phys. Rev. Lett., 95:215302, 2005.
D. Kivotides, C. F. Barenghi, and Y. A. Sergeev, Europhys. Lett., 73:733, 2006a.
D. Kivotides, C. F. Barenghi, and Y. A. Sergeev, J. Low Temp. Phys., 144:121, 2006b.
D. Kivotides, C. F. Barenghi, and Y. A. Sergeev, Phys. Rev. B, 75:212502, 2007.
D. Kivotides, C. F. Barenghi, and Y. A. Sergeev, Phys. Rev. B, 77:014527, 2008.
L. D. Landau and E. M. Lifshitz, Fluid Mechanics. Course of Theoretical Physics, Vol. 6. Butterworth-Heinemann, 1987.
M. R. Maxey and J. J. Riley, Phys. Fluids, 26:883, 1983.
R. Mei, J. Fluid Mech., 270:133, 1994.
D. J. Melotte and C. F. Barenghi, Phys. Rev. Lett., 80:4181, 1998.
L. Onsager, Nuovo Cim. Suppl. 2, 6:249, 1949.
D. R. Poole, C. F. Barenghi, Y. A. Sergeev, and W. F. Vinen, Phys. Rev. B, 71:064514, 2005.
M. Raffel, C. Willert, and J. Kompenhaus, Particle Image Velocimetry, a Practical Guide. Springer, Berlin, 1998.
P.-E. Roche, P. Diribarne, T. Didelot, O. Francais, L. Rousseau, and H. Willaime, Europhys. Lett., 77:66002, 2007.
D. C. Samuels. In C. F. Barenghi, R. J. Donnelly, and W. F. Vinen, editors. Quantized Vortex Dynamics and Superfluid Turbulence. Springer, Berlin, p. 97, 2001.
K. W. Schwarz, Phys. Rev. A, 10:2306, 1974.
K. W. Schwarz, Phys. Rev. B, 31, 5782, 1985.
K. W. Schwarz, Phys. Rev. B 38:2398, 1988.
Y. A. Sergeev, C. F. Barenghi, D. Kivotides, and W. F. Vinen, Phys. Rev. B, 73:052502, 2006a.
Y. A. Sergeev, C. F. Barenghi, and D. Kivotides, Phys. Rev. B, 74:184506, 2006b (for missing figure see Erratum in Phys. Rev. B, 75:019904(E), 2007).
Y. A. Sergeev, S. Wang, E. Meneguz, C. F. Barenghi, J. Low Temp. Phys., 146:417, 2007.
M. Tsubota and S. Maekawa, Phys. Rev. B, 47:12040, 1993.
T. Zhang and S. W. Van Sciver. In S. Breon, editor. Advances in Cryogenics Engineering, AIP Conf. Proc. No. 613. AIP, Melville, NY, p. 1372, 2002.
T. Zhang, D. Celik, and S. W. Van Sciver, J. Low Temp. Phys., 134:985, 2004.
T. Zhang and S. W. Van Sciver, J. Low Temp. Phys., 138, 865, 2005a.
T. Zhang and S. W. Van Sciver, Nature Physics, 1:36, 2005b.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 CISM, Udine
About this chapter
Cite this chapter
Sergeev, Y.A. (2008). Motion of Solid Particles and Flow Visualization in Helium II. In: Barenghi, C.F., Sergeev, Y.A. (eds) Vortices and Turbulence at Very Low Temperatures. CISM International Centre for Mechanical Sciences, vol 501. Springer, Vienna. https://doi.org/10.1007/978-3-211-09447-1_2
Download citation
DOI: https://doi.org/10.1007/978-3-211-09447-1_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-09446-4
Online ISBN: 978-3-211-09447-1
eBook Packages: EngineeringEngineering (R0)