Abstract

The relations are derived between velocity, density and pressure in a flowing compressible gas on the basis of fundamental mechanical principles of the conservation of matter, of momentum and of energy. The results are checked by application to test data on the discharge of superheated steam, and are found to be in excellent agreement throughout the range of pressure ratios from 1.00 to 0.20. It is shown that below certain (critical) pressure ratio the polyatomic gas behaves as monatomic one, indicating that energy transfer ceased between rotational and translational motions of molecules. This phenomenon occurs apparently only in accelerating flow, and the change from acceleration to deceleration liberates the temporarily unavailable energy of rotation, and precipitates the sudden increase of pressure, known as “Compression Shock” in aerodynamics.

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