One-Dimensional Flows of a Gas Characterized by van der Waals Equation of State*

Hsue-shen Tsien

It is generally assumed in the mathematical analysis of flows of a compressible fluid that the equation of state for the fluid is the equation for a perfect gas. This assumption, while sufficient for most cases of air flow under low pressures, does not allow an accurate enough representation of the properties of a gas near its point of condensation. For these flows of vapors, numerical and graphical methods are generally adopted. For instance, the isentropic expansion of steam can be traced on the Mollier diagram. A. Busemann[1] has developed a graphical method for determining the expansion around a corner of the supersonic flows of any real fluid. ...

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