Mathematical analysis of the speed of sound of hydrogen for the equation of state in the case of transition from molecular phase to atomic

Yagupov Stanislav Alexandrovich, Mezentsev Alexei Vladimirovich

The problems of mathematical modeling of sound velocity for isentropic compression of hydrogen with a real equation of state to high density are considered. At these density values, a certain anomaly is observed in the behavior of the isentrope, which is associated with the hydrogen transition of their molecular phase to the atomic one. On this interval of change of the density of hydrogen does not satisfy the properties of the normal gas. The speed of sound for the real equation of state of hydrogen at high pressure values is approximated by different analytical dependences, including on different parts of the density change. Errors of these approximations are established. The resulting approximations can be used for subsequent mathematical modeling at high degrees of hydrogen compression.

Keywords:The real equation is the state of hydrogen, compression to high density, approximation by analytic functions, the speed of sound.