Rarefied gas flow in a channel with specular-diffuse boundary conditions for arbitrary Knudsen numbers. Onsager relations
A. V. Latyshev and A. A. Yushkanov
Moscow Pedagogical University, Moscow 107005
Pages: 570-575
Abstract
The problem of a rarefied gas flow in a
channel for arbitrary Knudsen numbers
has been solved analytically for the
first time in the case where the
scattering of gas molecules on the
channel walls can be described by
specular-diffuse boundary conditions.
The mean free path of gas molecules is
assumed to be constant, i.e., the
collision frequency is proportional to
molecular velocity. The gas moves under
the action of a streamwise temperature
gradient. Exact relations for heat and
mass fluxes and for mean-mass velocity
are obtained. It is shown that the
Onsager relations are valid within the
entire range of Knudsen numbers in the
problem of heat and mass transfer in a
channel. The dependence of heat and mass
fluxes on the Knudsen number (channel
thickness) is analyzed. A comparison
with available results is performed.
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