INFLUENCE OF THE EVAPORATION COEFFICIENT
AND TEMPERATURE JUMPS ON THE THERMOPHORESIS
OF A MODERATELY LARGE VOLATILE HIGH-VISCOSITY SPHERE IN A BINARY GAS 
MIXTURE WITH ALLOWANCE FOR VOLUME THERMODIFFUSION AND STEFAN EFFECTS

S. N. D'yakonov,a E. V. Efremov,a  
L. V. Kotlyarova,a  and Yu. I. Yalamov,b  

UDC 533.72

The theory of a uniform thermophoretic motion of a volatile 
high-viscosity sphere with the phase transition of one component of 
a moderately rarefied binary gas mixture on its surface has been constructed 
on the basis of the hydrodynamic method in the regime with slip. The 
relative influence of the evaporation coefficient and the boundary 
temperature jumps on the distributions of the velocities, temperatures, 
and concentrations of the volatile component and the thermophoresis 
rate has been analyzed. Allowance has been made for the thermodiffusion 
terms, Stefan effects, and the heat due to the convective transfer 
of the substance of the condensed phase. The formula obtained has 
wider limits of application than the existing results. The conclusions 
of the traditional theories are successfully generalized to the cases 
of weak and moderately strong processes of diffusion evaporation of 
a single high-viscosity droplet that moves in a nonuniformly heated 
binary mixture of gases.

aOrel State University, Orel, 
Russia; bMoscow Pedagogical University, 
Moscow, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 
76, No. 5, pp. 92-102, September-October, 2003. Original article 
submitted May 22, 2001; revision submitted December 16, 2002.