ON THE HYDRODYNAMIC EQUATIONS FOR FLOW OF LIQUID HELIUM II WITH MUTUAL FRICTION

Journal Article · Fri Feb 01 04:00:00 EST 1963 · J. Fluid Mechan.

DOI:https://doi.org/10.1017/S0022112063000227· OSTI ID:4697860

Townsend, A A

The flow of liquid helium II at subcritical velocities can be described by hydrodynamic equations that assume the possibility of independent motions of the two fluid components, but difficulties arise in supercritical flows with forces of mutual friction between the component fluids. The extensive evidence that mutual friction is caused by scattering of the thermal excitations in the velocity fields of the quantized vortex lines suggests that the equations should include mutual forces that are large near the vortex-lines and negligible elsewhere. In their original theory, Hall & Vinen did assume this; the implications of the assumption are examined in detail. Serious difficulties are found in reconciling localization of the mutual friction with fully developed flow in channels, and it is suggested that, although the mutual friction arises from scattering near the vortex lines, the force on the superfluid is distributed uniformly over distances comparable with the distance between adjacent vortex lines. (auth)

• Research Organization: Emmanuel Coll., Cambridge, Eng.
• Sponsoring Organization: USDOE
• NSA Number: NSA-17-020182
• OSTI ID: 4697860
• Journal Information: J. Fluid Mechan., Journal Name: J. Fluid Mechan. Vol. Vol: 15
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CRYOGENICS
DISTRIBUTION
ENGINEERING AND EQUIPMENT
EQUATIONS
FLUID FLOW
FRICTION
HYDRODYNAMICS
LIQUID FLOW
MECHANICS
TEMPERATURE
TUBES
TURBULENCE
VELOCITY
VORTEX FLOW