The Determination of the Equation of State From Wave-Front Observations

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Abstract
The equation of state and the specific heat of a substance are related by certain differential equations to the pressure-density changes incurred by that substance under the influence of a rarefaction wave or a shock wave. These differential equations are derived, making it possible to obtain the thermodynamic properties from observations of the phenomena of wave propagation. In case of shock waves, this possibility results from the existence of a function, named the “Hugoniot function,” which is constant on each compression curve and possesses the qualities of a property of state. A simple example illustrates the application of this method.

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