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Collected Works of H. S. Tsien (1938-1956) by Tsien H S

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The “Limiting Line” in Mixed Subsonic and Supersonic Flow of Compressible Fluids

Hsue-shen Tsien

It is well known that the vorticity for any fluid element is constant if the fluid is non-viscous and the change of state of the fluid is isentropic. When a solid body is placed in a uniform stream, the flow far ahead of the body is irrotational. Then if the flow is further assumed to be isentropic, the vorticity will be zero over the whole field of flow. In other words, the flow is irrotational. For such flow over a solid body, it is shown by Theodorsen[1] that the solid body experiences no resistance. If the fluid has a small viscosity, its effect will be limited in the boundary layer over the solid body and the body will have a drag due to the ...

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