The mathematical models of gas transmission at hyper-pressure

Different approaches to the modeling of thermodynamic processes in a gas flow at hyper-pressure are discussed and their equivalence is proved for any form of equation of state. The article presents arguments in favor of the approach in which temperature and density are chosen as independent thermodynamic variables and equation of sate is written in one of its analytical forms, for example, in the form of Redlich-Kwong equation of state. Explicit analytical expressions are obtained for the dependences of internal energy and specific heat at constant volume on gas temperature and density. It is proved that simplifications of the model of thermodynamic processes, which are based on the assumption of incompressibility of gas flow, are inadmissible, even in case of negligibly small inertial forces.

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