Rayleigh's (1926) method for the approximate calculation of potential flow from the open end of a semi-infinite flanged cylinder is applied to obtain analytical representations of Green's function describing the generation of sound waves within a flanged cylinder by sources located in the neighbourhood of the open end. Detailed results are given for the circular cylinder considered by Rayleigh and extension made to a hanged cylinder of rectangular cross-section. The validity of various approximations is assessed by comparison with the exact solution available (by the method of conformal transformation) for potential flow from a two-dimensional, flanged duct. The results are used to compare the profiles and the pressure gradients of compression waves generated when a high-speed train enters tunnels of circular and rectangular cross-sections.
On Rayleigh's computation of the 'end correction', with application to the compression wave generated by a train entering a tunnel
Journal of Fluid Mechanics ; 385 ; 63-78
1999
16 Seiten, 17 Quellen
Article (Journal)
English
Rapid calculation of the compression wave generated by a train entering a tunnel with a vented hood
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