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- W595071657 abstract "By means of variational methods, the problem of a steady irrotational compressible flow past an arbitrary body may be solved directly in the physical plane. The resulting equations are nonlinear in nature. A study of these equations is made in this paper. I t is found tha t at high Mach Numbers the solution may no longer be unique. Beyond a certain limiting Mach Number, no physically possible solution exists. At this limiting value, it is shown tha t an unsymmetrical flow pattern may appear. I t is also shown that , if only the velocity and pressure distributions on a given profile at various Mach Numbers are to be found, good approximate results may be obtained by the use of the linearized variational integral. Comparisons are made between the linearized and nonlinear solutions in the case of a circular cylinder, a Kaplan's bump, an elliptical cylinder, and a sphere. I t is seen that in all these cases the linearized solutions give close agreement to the nonlinear ones. By working with the linearized integral, the labor saved is enormous." @default.
- W595071657 created "2016-06-24" @default.
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- W595071657 date "1950-06-01" @default.
- W595071657 modified "2023-09-25" @default.
- W595071657 title "A Study of the Nonlinear Characteristics of Compressible Flow Equations by Means of Variational Methods" @default.
- W595071657 cites W1500638085 @default.
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- W595071657 doi "https://doi.org/10.2514/8.1646" @default.
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