Several improvements to the mathematical model Sor the indicator process in
a diesel engine cylinder are proposed. The thermodynamic behavior of worki
ng media is described by the equation of state valid for real gases. Analyt
ical mathematical dependencies between thermal parameters (pressure, temper
ature, volume) and caloric parameters (internal energy, enthalpy, specific
heat capacities) have been obtained. These equations have been applied to t
he various products encountered during the burning of fuel and the gas mixt
ure as a whole in the engine cylinder under conditions of high pressures. A
n improved mathematical model, based on the first law of thermodynamics, ha
s been developed by taking into account imperfections in the working media
that appear under high pressures. The numerical solution of the simultaneou
s differential equations is obtained by Runge-Kutta-type method. The mathem
atical model is then used to solve the desired practical problems in two di
fferent two-stroke turbo-charged engines: 8DKRN 74/160 and Sulzer-RLB66. Si
gnificant differences between the values calculated using ideal gas behavio
r and the real gas at high-pressure conditions have been found. The numeric
al experiments show that if the pressure is above 8 to 9 MPa, the imperfect
ions in working medium must be taken into consideration. The results obtain
ed from the mathematical dependencies of the the caloric parameters can als
o be used to model energy conversion and combustion processes in other ther
mal machines such as advanced gas turbine engines with high-pressure ratios
.