Thermodynamic Characteristics of Thermally Perfect Gas and Solution of N-S Equations

The function between the enthalpy and temperature of thermally perfect gas between 50～ 3 000 K is described as a quintic polynomial. The expression of other thermodynamics parameters of thermally perfect gas,such as e,c p,c v,γ and so on, are obtained based on the thermodynamics equation and above function. The method for solving the total temperature and total pressure is derived from the fundamental thermodynamics equations,and a comparison between the solution of calorically perfect gas and that of thermally perfect gas. The software NAPA which uses the model of thermally perfect gas is modified for both of calorically perfect gas and thermally perfect gas to calculate the flows around a circular cylinder and a elliptic-cone waverider with high Mach number. The effect of consideration of real air model on flow field in numerical simulation of fluid flow is analyzed. Results show that the model of thermally perfect gas for solution of N-S equations is correct and can be used to analyse the main characteristics of hypersonic flow.