MATHEMATICAL MODELING OF CONVECTIVE
DIFFUSION OF SOLUBLE COMPOUNDS IN THE SOIL
AT NONISOTHERMAL MOISTURE TRANSFER

I. A. Gishkelyuk,a} S. P. Kundas,a}
and N. N. Grinchikb}

UDC 517.958:536.25

This paper presents a mathematical model of solute transport 
in a soil with account for nonisothermal moisture transfer. The model 
is based on the equations of convective diffusion, sorption kinetics, 
and two-phase filtration, on the isotherms of water sorption by the 
soil, and on the thermodynamic laws. A numerical analysis of the influence 
of various physical mechanisms on the process of mass transfer in 
the soil has been performed.

a}A. D. Sakharov International State Ecological University, 
23 Dolgobrodskaya Str., Minsk, 220009, Belarus; email: g_igor@tut.by; 
b}A. V. Luikov Heat and Mass Transfer Institute, National 
Academy of Sciences of Belarus, 15 P. Brovka Str., Minsk, 220072, Belarus. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 81, No. 5, 
pp. 924-935, September-October, 2008. Original article submitted 
April 3, 2007; revision submitted August 20, 2007.