CONJUGATE PROBLEMS OF UNSTEADY HEAT AND MASS CONDUCTION 
UNDER VARYING EXTERNAL CONDITIONS

A. I. Nakorchevskii

UDC 536.21+542.61

A closed system of algebraic and ordinary differential 
equations that enables one to simply and with a high degree of accuracy 
solve unsteady problems of heat conduction and diffusion extraction 
of a substance from solids of standard shapes - a plate, a cylinder, 
and a sphere - under varying external conditions is proposed. 
The method of solution is based on a unified universal dependence 
that describes with a high degree of accuracy the distribution of 
temperatures or concentrations of the substance in the above solids 
and on equations that determine variations in characteristics involved 
in this dependence with time and space as the solids move.

JEPTER7492019993
JEPTER749203