Mathematical model of the real gas for energy machines
The article is devoted to the development of a mathematical model of a real (thermally imperfect ) gas to simulate gas-dynamic processes in power machines. Fluororganic compounds with high molecular weight (so-called heavy gas), particularly difluorochloromethane, are of the greatest interest as the model working fluids. When calculating the gas systems equation, Clapeyron-Mendeleev state equation for the ideal (perfect) gas is commonly used. It seems appropriate to have the model of imperfect gas with constant value of isentropic index and the simplest dependence of compressibility coefficients on the state parameters. The proposed imperfect gas model provides the Sainе-Venant-Wantzel formula for a wide range of states. The tests of the gas turbine using freon-22 were carried out. The tests show satisfactory convergence of efficiency coefficient values for natural and model regimes.