Superfluid turbulence in He-II thermal counterflow in circular and high aspect ratio rectangular channels

Thesis/Dissertation · Sat Jan 01 04:00:00 EST 1983

OSTI ID:6761146

Ladner, D R

The pioneering experimental and theoretical research work in superfluid helium (He-II) is reviewed and some aspects of He-II flow are compared with classical channel flows. Several superfluid critical velocity (V/sub sc/) theories are discussed with respect to the temperature and channel size dependences of V/sub sc/ as observed in numerous counterflow experiments. The Landau two-fluid equations of motion are applied to steady state He-II counterflow to analyze the temperature difference data obtained with two circular (d = 131 ..mu..m) and four 10:1 rectangular (32 less than or equal to d less than or equal to 98 ..mu..m) glass channels. The London-Zilsel relation agrees well (+/- 3%) with the experimental linear (laminar flow) thermal resistance R/sub L/ for either geometry. The critical heat current Q/sub c/ and the magnitude of the nonlinear (turbulent flow) thermal resistance are carefully measured. Results are interpreted in terms of mutual friction between the normal fluid and the superfluid vortex line tangle, and the data are reduced in terms of the velocity dependence of the steady state vortex line density L/sub 0/. An analysis using the Vinen Theory determines the parameters ..gamma..(..cap alpha..chi/sub 1//chi/sub 2/) and ..cap alpha... A similar analysis determines ..gamma.. and ..cap alpha.. empirically, and values of the Gorter-Mellink constant A(T) are computed. The empirical analysis indicates that the relationship between ..gamma.. and V/sub sc/ is a unique one, but that is not correctly given by the Vinen Theory.

• Research Organization: Ohio State Univ., Columbus (USA)
• OSTI ID: 6761146
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFIGURATION
CRITICAL CURRENT
CURRENTS
DATA
ELECTRIC CURRENTS
EVEN-EVEN NUCLEI
EXPERIMENTAL DATA
FLUID FLOW
FLUIDS
HELIUM 4
HELIUM II
HELIUM ISOTOPES
INFORMATION
ISOTOPES
LIGHT NUCLEI
NUCLEI
NUMERICAL DATA
QUANTUM FLUIDS
RECTANGULAR CONFIGURATION
STABLE ISOTOPES
TEMPERATURE DEPENDENCE
TURBULENT FLOW
VORTEX FLOW