Abstract
Periodic vibrations of the walls of a distensible elastic tube through which a fluid is flowing are studied by the method used by Lord Rayleigh in his theory of vibrations of jets. The results are found to conform with those obtaine previously by a more general but approximate method.
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Literature
Gyemant, A. 1927. “Kapillarität”.Handbuch d. Physik, herausgegehen von H. Geiger und K. Scheel,VII, 343–410. Berlin: J. Springer.
Rashevsky, N. 1945. “A Problem in the Hydrodynamics of Blood Circulation: I”.Bull. Math. Biophysics,4, 25–39.
Rayleigh, Lord. 1879. “On the Capillary Phenomena of Jets”.Proc. Roy. Soc. London,29, 71–97.
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Rashevsky, N. A note on the mathematical theory of vibrations of walls of blood vessels. Bulletin of Mathematical Biophysics 9, 123–126 (1947). https://doi.org/10.1007/BF02478290
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DOI: https://doi.org/10.1007/BF02478290