Dynamical similarity and turbulence of liquid helium II in a rotating-cylinder viscometer

N. Devaraj; A. C. Hollis Hallett

doi:10.1007/bf00660063

Dynamical similarity and turbulence of liquid helium II in a rotating-cylinder viscometer

Journal of Low Temperature Physics ◽

10.1007/bf00660063 ◽

1972 ◽

Vol 7 (3-4) ◽

pp. 211-222 ◽

Cited By ~ 2

Author(s):

N. Devaraj ◽

A. C. Hollis Hallett

Keyword(s):

Liquid Helium ◽

Rotating Cylinder ◽

Helium Ii ◽

Cylinder Viscometer

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Experiments with a rotating cylinder viscometer in liquid helium II

Mathematical Proceedings of the Cambridge Philosophical Society ◽

10.1017/s0305004100028917 ◽

1953 ◽

Vol 49 (4) ◽

pp. 717-727 ◽

Cited By ~ 18

Author(s):

A. C. Hollis-Hallett

Keyword(s):

Liquid Helium ◽

Normal Component ◽

Rotating Cylinder ◽

Mutual Friction ◽

Rotating Fluid ◽

Helium Ii ◽

Lambda Point ◽

New Type ◽

Coefficient Of Viscosity ◽

Cylinder Viscometer

ABSTRACTLiquid helium II was contained in the annular space between two co-axial cylinders, the inner of which was suspended by a torsion fibre while the outer was rotated at constant speeds. The torque upon the inner cylinder produced by the rotating fluid was measured for various steady velocities between 0·1 and 3 cm.sec.1, and was not found to be directly proportional to the velocity of rotation at any temperature between the lambda-point and 1·15° K. This result suggests that there must be some new type of non-linear frictional force acting in the liquid, possibly in addition to the Gorter-Mellink force of mutual friction.Extrapolation of the experimental results to zero velocity gives values of the coefficient of viscosity of the normal component which agree with the oscillating disk values between the lambda-point and about 1·6° K. At lower temperatures, the present results are significantly lower, suggesting, perhaps, that the values of the normal component density used in the analysis of the oscillating disk results were too low.

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THE VISCOSITY OF LIQUID HELIUM II

Canadian Journal of Physics ◽

10.1139/p55-051 ◽

1955 ◽

Vol 33 (8) ◽

pp. 420-435 ◽

Cited By ~ 45

Author(s):

W. J. Heikkila ◽

A. C. Hollis Hallett

Keyword(s):

Liquid Helium ◽

Normal Component ◽

Rotating Cylinder ◽

Helium Ii ◽

Fluid Velocities ◽

Cylinder Viscometer

It has been found possible to use the rotating cylinder viscometer to measure the viscosity of liquid helium II between 1.13°K. and 2.18°K. provided that the fluid velocities do not exceed about 0.08 cm. sec.−1. The results, which are calculated directly from experimental observations and do not require any knowledge of the density of the normal component, can be made to fit the Landau and Khalatnikov theory for the temperatures below 1.8°K. for which the theory is applicable. The results are somewhat higher than the oscillating disk results above 1.4°K.

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THE VISCOSITY OF LIQUID HELIUM II BETWEEN 0.79° K AND THE LAMBDA POINT

Canadian Journal of Physics ◽

10.1139/p63-062 ◽

1963 ◽

Vol 41 (4) ◽

pp. 596-609 ◽

Cited By ~ 48

Author(s):

A. D. B. Woods ◽

A. C. Hollis Hallett

Keyword(s):

Liquid Helium ◽

Normal Component ◽

Rotating Cylinder ◽

Helium Ii ◽

Temperature Range ◽

Lambda Point

Values of the viscosity of the normal component of liquid helium II have been determined using the rotating cylinder (Couette type) viscometer. Primary attention has been given to the temperature range between 0.79° K and 1.1° K; values at higher temperatures have been determined to provide a check on previous determinations. The results over the whole temperature range are closely fitted by an equation of the form given by Khalatnikov (Uspekhi Fiz. Nauk, 59, 673 (1956)).

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