ANALYTICAL SOLUTION OF A NONHOMOGENEOUS
KINETIC EQUATION WITH A VARIABLE FREQUENCY
OF COLLISIONS

A. V. Latyshev, V. N. Popov, and
A. A. Yushkanov

UDC 533.72

The problem of calculation of a correction to the coefficient 
of isothermal slip that is due to the wall curvature is solved. For 
this purpose we constructed the exact solution of a nonhomogeneous 
model kinetic Boltzmann equation with a collision operator in the 
form of the BGK model with the frequency of collisions proportional 
to the modulus of the intrinsic velocity of gas molecules. Comparison 
with the results obtained earlier is given.

Pomor'e State University, Arkhangel'sk, Russia; email: 
popov.vasily@pomorsu.ru. Translated from Inzhenerno-Fizicheskii Zhurnal, 
Vol. 75, No. 3, pp. 104-106, May-June, 2001. Original article 
submitted November 26, 2001; revision submitted December 3, 2001.

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