ANALYTICAL THEORY OF REGENERATIVE HEAT
TRANSFER AND STUDY OF ITS THERMODYNAMIC
EFFICIENCY
B. N. Okunev and M. S. Safonov

UDC 66./02.09

An analytical theory of the cyclic process of regenerative 
heat transfer is developed. Introduction of operator-valued functions 
of integral operators allowed the authors to formulate an equation 
for determination of periodic solutions. A solution of this equation 
is found in a linear approximation with respect to switching times. 
A functional - exergic efficiency - is introduced on periodic 
solutions. The analytical solution obtained made it possible to study 
the dependence of the introduced criterion on the parameters of the 
system and to describe the time mode of the process in which the thermodynamic 
efficiency is maximum. Comparison of the analytical theory and a numerical 
analysis of the problem showed that upon choosing an operating mode 
of the apparatus that fits the maximum values of the introduced criterion, 
one can use results of the analytical solution at all admissible values 
of the switching times.

JEPTER74920200019
JEPTER7492019