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- W2505881146 abstract "This chapter discusses the three-dimensional irrotational flow of liquids and gases. Various systems of curvilinear coordinates: cylindrical, spherical, and so on are used in the investigation of three-dimensional flows. The fundamental formulae of the theory of orthogonal curvilinear coordinates are discussed. The velocity potentials of some simple three-dimensional flows are discussed. In the case of a closed vortex line, it is easy to obtain an explicit expression for the velocity potential. The hydrodynamic theorem proved in the chapter represents the analogue of the well-known theorem of electrodynamics, that the magnetic field of an electrical current flowing in a closed circuit is equivalent to the field of a magnetic shell. The stream function in three-dimensional flows is discussed. The existence of a stream function depends not only on the character of the motion, but also on the choice of the curvilinear system of coordinates that are used to describe the flow." @default.
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- W2505881146 date "1966-01-01" @default.
- W2505881146 modified "2023-09-27" @default.
- W2505881146 title "Three-dimensional Irrotational Flow of Liquids and Gases" @default.
- W2505881146 doi "https://doi.org/10.1016/b978-0-08-010125-5.50012-x" @default.
- W2505881146 hasPublicationYear "1966" @default.
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