ANALYTICAL AND EMPIRICAL SOLUTIONS OF THE OBLIQUE AND NORMAL SHOCK-WAVES WITH APPLICATION TO REAL AMMONIA

The analytical solution for a shock wave in real ammonia (NH3) is obta ined by the use of the shock wave governing equations which are valid in general and the best state equation of NH3 being available. The res ults obtained from the analytical solution have an excellent accuracy but they need a large amount of a computer time. The accurate results of the analytical solution are approximated by explicit empirical rela tions having mathematical forms similar to those of the ideal gas shoc k wave, but with new, numerically calculated parameters (coefficients and exponents). The obtained accuracy of the empirical results is very good in comparison with these of the analytical ones (relative deviat ion less than 0.1%). The whole procedure is applied in a region with p ractical significance, for the general case of the oblique shock wave, while the normal shock is obtained as a limiting case corresponding t o specific geometrical conditions.