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On the Flow of a Compressible Fluid by the Hodograph Method

其他書名	2 - Fundamental Set of Particular Flow Solutions of the Chaplygin Differential Equation
出版	National Advisory Committee for Aeronautics, 1944
URL	http://books.google.com.hk/books?id=oKhkL8hLcjoC&hl=&source=gbs_api

註釋Summary: The differential equation of Chaplygin's jet problem is utilized to give a systematic development of particular solutions of the hodograph flow equations, which extends the treatment of Chaplygin into the supersonic range and completes the set of particular solutions. The particular solutions serve to place on a reasonable basis the use of velocity correction formulas for the comparison of incompressible and compressible flows. It is shown that the geometric-mean type of velocity correction formula introduced in an earlier paper, part I, has significance as an over-all type of approximation in the subsonic range. A brief review of general conditions limiting the potential flow of an adiabatic compressbile fluid is given and application is made to the particular solutions, yielding conditions for the existence of singular loci in the supersonic range. The combining of particular solutions in accordance with prescribed boundary flow conditions is not treated in the present paper.