Theory of the Small Amplitude Shape Oscillations of a Helium-II Drop

Journal of Low Temperature Physics

Volumn 114, Issue 5-6, 1999, Pages 523-545

  Whitaker, D L ^a   Kim, C ^a   Vicente, C L ^a   Weilert, M A ^a   Maris, H J ^a   Seidel, G M ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CONDENSATION; DAMPING; EQUATIONS OF MOTION; EVAPORATION; FLUID DYNAMICS; MATHEMATICAL MODELS; OSCILLATIONS; PHASE EQUILIBRIA; VAPORS;

TWO FLUID MODELS;

SUPERFLUID HELIUM;

EID: 0033099732     PISSN: 00222291     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1021810422559     Document Type: Article

References (22)

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12. The density and viscosity of the normal fluid, the total density of the liquid, and the surface tension were taken from R. J. Donnelly, R. A. Riegelmann, and C. F. Barenghi, The Observed Properties of Liquid Helium at the Saturated Vapor Pressure, A Report of the Department of Physics, University of Oregon (1993), unpublished. This report contains recommended values of the normal fluid viscosity only down to 0.8 K. Below this temperature we used the viscosity calculated from the heat flow experiments of R. W. Whitworth, Proc. R. Soc. 246, 390 (1958). For the vapor viscosity we have used the recommended values from Y. S. Touloukian, S. C. Saxena, and P. Hestermans, Thermophysical Properties of Matter Vol. 11, IFI/Plenum, New York (1979), for temperatures above 1.25 K, and the theoretical values of J. de Boer, Physica 10, 348 (1943) for lower temperatures. The density of the vapor was calculated from the saturated vapor pressure given in Donnely, Riegelmann, and Barenghi loc cit, under the assumption that the vapor can be treated as an ideal gas.
13. The density and viscosity of the normal fluid, the total density of the liquid, and the surface tension were taken from R. J. Donnelly, R. A. Riegelmann, and C. F. Barenghi, The Observed Properties of Liquid Helium at the Saturated Vapor Pressure, A Report of the Department of Physics, University of Oregon (1993), unpublished. This report contains recommended values of the normal fluid viscosity only down to 0.8 K. Below this temperature we used the viscosity calculated from the heat flow experiments of R. W. Whitworth, Proc. R. Soc. 246, 390 (1958). For the vapor viscosity we have used the recommended values from Y. S. Touloukian, S. C. Saxena, and P. Hestermans, Thermophysical Properties of Matter Vol. 11, IFI/Plenum, New York (1979), for temperatures above 1.25 K, and the theoretical values of J. de Boer, Physica 10, 348 (1943) for lower temperatures. The density of the vapor was calculated from the saturated vapor pressure given in Donnely, Riegelmann, and Barenghi loc cit, under the assumption that the vapor can be treated as an ideal gas.
14. The density and viscosity of the normal fluid, the total density of the liquid, and the surface tension were taken from R. J. Donnelly, R. A. Riegelmann, and C. F. Barenghi, The Observed Properties of Liquid Helium at the Saturated Vapor Pressure, A Report of the Department of Physics, University of Oregon (1993), unpublished. This report contains recommended values of the normal fluid viscosity only down to 0.8 K. Below this temperature we used the viscosity calculated from the heat flow experiments of R. W. Whitworth, Proc. R. Soc. 246, 390 (1958). For the vapor viscosity we have used the recommended values from Y. S. Touloukian, S. C. Saxena, and P. Hestermans, Thermophysical Properties of Matter Vol. 11, IFI/Plenum, New York (1979), for temperatures above 1.25 K, and the theoretical values of J. de Boer, Physica 10, 348 (1943) for lower temperatures. The density of the vapor was calculated from the saturated vapor pressure given in Donnely, Riegelmann, and Barenghi loc cit, under the assumption that the vapor can be treated as an ideal gas.
15. The density and viscosity of the normal fluid, the total density of the liquid, and the surface tension were taken from R. J. Donnelly, R. A. Riegelmann, and C. F. Barenghi, The Observed Properties of Liquid Helium at the Saturated Vapor Pressure, A Report of the Department of Physics, University of Oregon (1993), unpublished. This report contains recommended values of the normal fluid viscosity only down to 0.8 K. Below this temperature we used the viscosity calculated from the heat flow experiments of R. W. Whitworth, Proc. R. Soc. 246, 390 (1958). For the vapor viscosity we have used the recommended values from Y. S. Touloukian, S. C. Saxena, and P. Hestermans, Thermophysical Properties of Matter Vol. 11, IFI/Plenum, New York (1979), for temperatures above 1.25 K, and the theoretical values of J. de Boer, Physica 10, 348 (1943) for lower temperatures. The density of the vapor was calculated from the saturated vapor pressure given in Donnely, Riegelmann, and Barenghi loc cit, under the assumption that the vapor can be treated as an ideal gas.
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17. As a result of the temperature variations in the drop, the surface tension will vary along the drop surface. In principle, this variation will modify the form of the tangential stress boundary condition, Eq. (33). We have not considered this effect in our calculation.
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