Iterative Model for Solving the Rankine-Hugoniot Conditions in Calorically Imperfect Gas Mixtures

In this article we present a method for calculating the thermomechanical conditions behind a normal and stationary shock wave in both calorically perfect and calorically imperfect (or thermally perfect) gases. In both cases the ideal gas equation of state is satisfied, but in the latter the specific heats vary nonlinearly with temperature. In addition, we evaluate the main differences when applying the Rankine-Hugoniot conditions to air under the assumptions of a calorically perfect and imperfect gas, with the aim of determining whether there are significant differences that would justify the use of one constitutive model over the other.