INFLUENCE OF NONUNIFORMITY OF THE TEMPERATURE DISTRIBUTION 
IN THE KNUDSEN LAYER ON THE VELOCITY OF THERMAL SLIP OF
A RAREFIED GAS ALONG A CURVED SURFACE

A. V. Latyshev,a V. N. Popov,b  
and A. A. Yushkanova 

UDC 533.72

The correction to the velocity of thermal slip of a rarefied 
gas along the surface of a sphere has been calculated; the correction 
allows for the presence of the second-order mixed derivative of temperature. 
For this purpose we constructed an exact solution of the Boltzmann 
inhomogeneous kinetic equation with the collision operator in the 
form of an ellipsoidal statistical model. The results obtained confirm 
the existence of negative (in the direction of the temperature gradient) 
thermophoresis of highly heat-conducting aerosol particles at small 
values of the Knudsen number. Comparison with the literature data 
has been made.

aMoscow State Regional University, Moscow, Russia; 
email: latyshev@orc.ru; bPomor'e State University, Pomor'e, Russia; 
email: popov.vasily@pomorsu.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 76, No. 4, pp. 
18-22, July-August, 2003. Original article submitted September 
2, 2002; revision submitted December 26, 2002.