Abstract
For two dimensional steady flow, the equations of continuity, momentum, and energy have been found by many authors to be identical for an irrotational isentropic flow of a perfect gas with specific heat ratio of 2.0 and an incompressible frictionless flow of water in an open horizontal channel of a rectangular cross-section. The present paper presents the results found by the writer at MIT in 1944, for one dimensional unsteady flow. This work shows that the equations of continuity, momentum, energy, waves, and wave propagation are also identical for an isentropic perfect gas flow having any specific heat ratio and an incompressible frictionless water flow in an open horizontal channel of a cross-section described by the equation z = Cy n .
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