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Title: Curvature, slip, and viscosity in {sup 3}He-{sup 4}He mixtures

Abstract

We report vibrating wire viscometer experiments in the concentrated and dilute phase of saturated {sup 3}He-{sup 4}He mixtures showing that the slip length may become orders of magnitude larger than the mean free path due to specular scattering of the {sup 3}He quasiparticles with a {sup 4}He coating adsorbed at the surface of the wire. Since the liquid does not almost stick to the surface, the boundary conditions for fluid flow are unusual and not accounted for by the current theory for slip [H. Hoejgaard Jensen et al., J. Low Temp. Phys. 41, 473 (1980)]. The experimental results are in excellent agreement with a recent theory for slip [R. Bowley and J. Owers-Bradley, J. Low Temp. Phys. 136, 15 (2004)] which accounts for the effect of the cylindrical geometry and for velocity slip in directions normal as well as tangential to the surface of the wire. We find that our viscosity measurements in the dilute phase resulting from the data analysis based on the recent slip theory are in better agreement with the Fermi liquid theory than previous experimental results.

Authors:
;  [1]
  1. Centre de Recherche sur les Tres Basses Temperatures, CNRS, Boite Postale 166, 38402 Grenoble Cedex 9 (France)
Publication Date:
OSTI Identifier:
20788047
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 73; Journal Issue: 13; Other Information: DOI: 10.1103/PhysRevB.73.134517; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ADSORPTION; BOUNDARY CONDITIONS; DATA ANALYSIS; FERMI GAS; GEOMETRY; HELIUM 3; HELIUM 4; LIQUIDS; MEAN FREE PATH; MIXTURES; QUASI PARTICLES; SCATTERING; SLIP; SLIP FLOW; SURFACES; VISCOSITY

Citation Formats

Perisanu, Sorin, and Vermeulen, Gerard. Curvature, slip, and viscosity in {sup 3}He-{sup 4}He mixtures. United States: N. p., 2006. Web. doi:10.1103/PHYSREVB.73.1.
Perisanu, Sorin, & Vermeulen, Gerard. Curvature, slip, and viscosity in {sup 3}He-{sup 4}He mixtures. United States. doi:10.1103/PHYSREVB.73.1.
Perisanu, Sorin, and Vermeulen, Gerard. Sat . "Curvature, slip, and viscosity in {sup 3}He-{sup 4}He mixtures". United States. doi:10.1103/PHYSREVB.73.1.
@article{osti_20788047,
title = {Curvature, slip, and viscosity in {sup 3}He-{sup 4}He mixtures},
author = {Perisanu, Sorin and Vermeulen, Gerard},
abstractNote = {We report vibrating wire viscometer experiments in the concentrated and dilute phase of saturated {sup 3}He-{sup 4}He mixtures showing that the slip length may become orders of magnitude larger than the mean free path due to specular scattering of the {sup 3}He quasiparticles with a {sup 4}He coating adsorbed at the surface of the wire. Since the liquid does not almost stick to the surface, the boundary conditions for fluid flow are unusual and not accounted for by the current theory for slip [H. Hoejgaard Jensen et al., J. Low Temp. Phys. 41, 473 (1980)]. The experimental results are in excellent agreement with a recent theory for slip [R. Bowley and J. Owers-Bradley, J. Low Temp. Phys. 136, 15 (2004)] which accounts for the effect of the cylindrical geometry and for velocity slip in directions normal as well as tangential to the surface of the wire. We find that our viscosity measurements in the dilute phase resulting from the data analysis based on the recent slip theory are in better agreement with the Fermi liquid theory than previous experimental results.},
doi = {10.1103/PHYSREVB.73.1},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 13,
volume = 73,
place = {United States},
year = {Sat Apr 01 00:00:00 EST 2006},
month = {Sat Apr 01 00:00:00 EST 2006}
}