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The Longitudinal Vibrations of a Liquid Contained in a Tube with Elastic Walls
Phys. Rev. 30, 71 – Published 1 July, 1927
DOI: https://doi.org/10.1103/PhysRev.30.71
Abstract
This paper investigates the most general longitudinal vibrations of an elastic tube partly filled with liquid. From the rather complicated exact solution of the problem, a simple approximate formula is derived for the reduction of the velocity of sound in the liquid due to the vibrations of the wall of the tube.
References (8)
- Helmholtz, Gesammelte Abhandlungen, v.1, p. 246
- H. Lamb, Memoirs and Proceedings of the Manchester Literary and Philosophical Society, vol. 42 (1898), no. 9 H. G. Green, Phil. Mag. 45, 907 (1923)
- A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, 3rd ed. (Cambridge, 1920), p. 291
Omitted endnote
- Lamb's Hydrodynamics, 4th ed., chapter I
Omitted endnote
- G. N. Watson, A Treatise on the Theory of Bessel's Functions, Cambridge 1922, pp. 77-80
Omitted endnote