Fermi liquid viscosity in a finite geometry
Abstract
Forced flow of a Fermi liquid is studied for a cell geometry consisting of two planes with a separation on the order of mean free path. An approximate transport equation is used to derive an integral equation for the velocity profile, which is solved numerically. Results for the total flux through the cell, which determines the dissipation, are given as a function of the Knudsen number N (ratio of cell thickness to mean free path). Effects of specular reflection at the boundaries are considered. It is found that the dissipation has a minimum at N approximately equal to 1/2, and behaves linearly for N greater than or equal to 3. Implications for present experimentation are discussed.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1979
 Bibcode:
 1979STIN...7913306J
 Keywords:

 Fermi Liquids;
 Fluid Flow;
 Knudsen Gages;
 Viscosity;
 Flow Velocity;
 Integral Equations;
 Knudsen Flow;
 Mean Free Path;
 Numerical Analysis;
 Fluid Mechanics and Heat Transfer