Liquid Helium II: Bose-Einstein Condensation and Two-Fluid Model

1953 ◽  
Vol 92 (5) ◽  
pp. 1106-1112 ◽  
Author(s):  
P. R. Zilsel
Keyword(s):  
Liquid Helium ◽  
Fluid Model ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Helium Ii ◽  
Two Fluid Model ◽  
Bose Einstein ◽  
Two Fluid

Some reflections on the two-fluid model and Bose-Einstein condensation

Physica ◽  
1973 ◽  
Vol 69 (1) ◽  
pp. 193-217 ◽  
Author(s):  
J. de Boer
Keyword(s):  
Fluid Model ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Two Fluid Model ◽  
Bose Einstein ◽  
Two Fluid

Thermodynamics of the Two-Fluid Model of Liquid Helium II

Nature ◽  
1954 ◽  
Vol 174 (4424) ◽  
pp. 322-323 ◽  
Author(s):  
J. W. HERIVEL
Keyword(s):  
Liquid Helium ◽  
Fluid Model ◽  
Helium Ii ◽  
Two Fluid Model ◽  
Two Fluid

Some calculations with the two-fluid model, concerning the flow of liquid helium II

Physica ◽  
1954 ◽  
Vol 21 (1-5) ◽  
pp. 322-330 ◽  
Author(s):  
P. Winkel
Keyword(s):  
Liquid Helium ◽  
Fluid Model ◽  
Helium Ii ◽  
Two Fluid Model ◽  
Two Fluid

The rotation of liquid helium II I. Experiments on the propagation of second sound in uniformly rotating helium II

1956 ◽  
Vol 238 (1213) ◽  
pp. 204-214 ◽  
Keyword(s):  
Liquid Helium ◽  
Fluid Model ◽  
Mutual Friction ◽  
Second Sound ◽  
Order Unity ◽  
Helium Ii ◽  
Axis Of Rotation ◽  
Two Fluid Model ◽  
Two Fluid ◽  
Excess Attenuation

An experimental investigation of the propagation of second sound in uniformly rotating resonators filled with liquid helium II has been made. It is found that in the uniformly rotating liquid the velocity of the second sound is not changed by more than 0·1%, but there is an excess attenuation which is, except near the λ point, proportional to the angular velocity ω , independent of second-sound amplitude, and independent of frequency in the range 1·5 to 4·5 kc/s. These results are described phenomenologically by a mutual friction force B ( ρ s ρ n / ρ ) ω (v s — v n ) per unit volume in the two-fluid model. The constant B is of order unity for second sound propagated at right angles to the axis of rotation; it is smaller by a factor of at least 5 when the second sound is propagated parallel to the axis of rotation. It is suggested that the mutual friction in rotating helium may contain a component perpendicular to (v s — v n ), and that there should be no mutual friction in an irrotational circulation. Experiments to verify these predictions are proposed.

Liquid Helium II: The Hydrodynamics of the Two-Fluid Model

1950 ◽  
Vol 79 (2) ◽  
pp. 309-313 ◽  
Author(s):  
P. R. Zilsel
Keyword(s):  
Liquid Helium ◽  
Fluid Model ◽  
Helium Ii ◽  
Two Fluid Model ◽  
Two Fluid

Helium II: The Two-Fluid Model

2019 ◽  
pp. 73-118
Author(s):  
David R Tilley ◽  
John Tilley
Keyword(s):  
Fluid Model ◽  
Helium Ii ◽  
Two Fluid Model ◽  
Two Fluid

On the thermodynamic equation of motion of the two fluid model of helium II

Physica ◽  
1951 ◽  
Vol 17 (7) ◽  
pp. 694-702 ◽  
Author(s):  
Tsunemaru Usui
Keyword(s):  
Fluid Model ◽  
Equation Of Motion ◽  
Helium Ii ◽  
Thermodynamic Equation ◽  
Two Fluid Model ◽  
Two Fluid

The stability of the Couette flow of helium II

1988 ◽  
Vol 197 ◽  
pp. 551-569 ◽  
Author(s):  
C. F. Barenghi ◽  
C. A. Jones
Keyword(s):  
Couette Flow ◽  
Fluid Model ◽  
Taylor Instability ◽  
Mutual Friction ◽  
Helium Ii ◽  
Two Fluid Model ◽  
The Stability ◽  
Superfluid Vortices ◽  
Two Fluid

The stability of Couette flow in HeII is considered by an analysis of the HVBK equations. These equations are based on the Landau two-fluid model of HeII and include mutual friction between the normal and superfluid components, and the vortex tension due to the presence of superfluid vortices. We find that the vortex tension strongly affects the nature of the Taylor instability at temperatures below ≈ 2.05 K. The effect of the vortex tension is to make non-axisymmetric modes the most unstable, and to make the critical axial wavelength very long.We compare our results with experiments.

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