Study of the transient thermal wave heat transfer in a channel immersed in a bath of superfluid helium

International Journal of Heat and Mass Transfer

Volumn 49, Issue 7-8, 2006, Pages 1384-1394

  Zhang, P ^a   Murakami, M ^b   Wang, R Z ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

He II; Heat transfer; Quantized vortices; Thermal wave

Indexed keywords

BOUNDARY LAYERS; ELECTROMAGNETIC WAVE PROPAGATION; FOURIER TRANSFORMS; HEAT FLUX; SUPERFLUID HELIUM; THERMAL DIFFUSION; VORTEX FLOW;

FOURIER HEAT TRANSFER; GORTER-MELLINK EQUATION; HE II; QUANTIZED VORTICES; THERMAL WAVES;

HEAT TRANSFER;

BOUNDARY LAYERS; ELECTROMAGNETIC WAVE PROPAGATION; FOURIER TRANSFORMS; HEAT FLUX; HEAT TRANSFER; SUPERFLUID HELIUM; THERMAL DIFFUSION; VORTEX FLOW;

EID: 33144468548     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2005.09.031     Document Type: Article

References (33)

1. C. Cattaneo A form of heat conduction equation which eliminates the paradox of instantaneous propagation Comptes Rendus 247 1958 431 433
2. P. Vernotte Some possible complication in the phenomena of thermal conduction Comptes Rendus 252 1961 2190 2191
3. V. Peshkov Second sound in helium II J. Phys. USSR III 1944 381 382
4. L.D. Landau, and E.M. Lifshitz Fluid Mechanics 1987 Pergamon Press Oxford pp. 515-526
5. M. Khalatnikov An Introduction to the Theory of Superfluidity 1965 Benjamin New York
6. J.T. Tough Superfluid turbulence D.F. Brewer Progress in Low Temperature Physics vol. VIII 1982 135 219
7. W.F. Vinen, and J.J. Niemela Quantum turbulence J. Low Temp. Phys. 128 2002 167 231
8. C.F. Barenghi Introduction to superfluid vortices and turbulence C.F. Barenghi R.J. Donnelly W.F. Vinen Lecture Notes in Physics vol. 571 2001 3 14
9. R.J. Donnelly, and C.E. Swanson Quantum turbulence J. Fluid Mech. 173 1986 387 429
10. C.J. Gorter, and J.H. Mellink On the irreversible processes in the liquid helium II Physica 15 1949 285 304
11. W.F. Vinen Mutual friction in a heat current in liquid helium II. III. Theory of the mutual friction Proc. Roy. Soc. A 242 1957 493 515
12. M. Murakami, and K. Iwashita Numerical computation of a thermal shock wave in He II Comput. Fluids 19 1991 443 451
13. W. Poppe, G. Stamm, and J. Pakleza Numerical and experimental studies on converging second-sound waves in a half-pipe Physica B 176 1992 247 253
14. W.F. Fiszdon, M.v. Schwerdtner, G. Stamm, and W. Popper Temperature overshoot due to quantum turbulence during the evolution of moderate heat pulses in He II J. Fluid Mech. 212 1990 663 684
15. R.P. Feynman Application of quantum mechanics to liquid helium C.J. Gorter Progress in Low Temperature Physics vol. 1 1955 17 53
16. W.F. Vinen Mutual friction in a heat current in liquid helium II. I. Experiments on steady heat current Proc. Roy. Soc. A 240 1957 114 127
17. W.F. Vinen Mutual friction in a heat current in liquid helium II. II. Experiments on transient effect Proc. Roy. Soc. A 240 1957 128 143
18. W.F. Vinen The dictation of single quanta of circulation in liquid helium II Proc. Roy. Soc. A 260 1961 218 236
19. S.K. Nemirovskii, and V.V. Lebedev The hydrodynamics of superfluid turbulence Sov. Phys. JETP 57 1983 1009 1016
20. R.T. Wang, C.E. Swanson, and R.J. Donnelly Anisotropy and drift of a vortex tangle in helium II Phys. Rev. B 36 1987 5240 5244
21. G. Stamm, Th. Olszok, M.v. Schwerdtner, and D.W. Schmidt Producing and recording converging second-sound shock waves Cryogenics 32 1992 598 600
22. S.K. Nemirovskii, and W. Fiszdon Chaotic quantized vortices and hydrodynamic processes in Superfluid helium Rev. Mod. Phys. 67 1995 37 84
23. L.P. Kondaurova, S.K. Nemirovskii, and M.V. Nedoboiko Mutual influence of quantum vortices and heat pulses in superfluid helium Low Temp. Phys. 25 1999 475 481
24. W. Fiszdon, and M.v. Schwerdtner Influence of quantum turbulence on the evolution of moderate plane second sound heat pulses in helium II J. Low Temp. Phys. 75 1989 253 267
25. T. Shimazaki, M. Murakami, and T. Iida Second sound wave heat transfer, thermal boundary layer formation and boiling: highly transient heat transport phenomena in He II Cryogenics 35 1995 645 651
26. CRYODATA. HEPAK software, 1993.
27. C.A.J. Fletcher Computational Techniques for Fluid Dynamics. VII. Specific Techniques for Different Flow Categories 1988 Springer-Verlag
28. T.N. Turner Using second-sound shock waves to probe the intrinsic critical velocity of liquid helium II Phys. Fluids 26 1983 3227 3241
29. J.R. Torczynski, D. Gerthsen, Th. Roesgen, Flow visualization of shock waves in liquid helium II, Proc. LT-17, 1984, pp. 67-68.
30. Y.A. Sergeev, and C.F. Barenghi Interaction of weakly nonlinear second sound waves with a vortex tangle in helium II J. Low Temp. Phys. 127 2002 203 214
31. T. Shimazaki, Experimental study of highly transient thermo-fluid dynamic phenomena in He II, PhD dissertation, University of Tsukuba, 1996.
32. L. Dresner Transient heat transfer in superfluid helium-Part II Adv. Cryo. Eng. 29 1984 323 333
33. C.F. Barenghi, and D.C. Samuels Evaporation of a packet of quantized vorticity Phys. Rev. Lett. 89 2002 155302