Abstract
THE instability of round liquid jets was noticed and described by Savart,2 Magnus,3 Plateau,4 and others. The criterion of instability was given by Plateau as where is the “wave-length,” measured along a portion of the jet where the diameter is d. Or, in words, the jet is unstable when the wave-length is greater than the circumference.
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References
Published by permission of the Director of the Bureau of Standards of the U.S. Department of Commerce.
Savart, Ann. de Chim., 53, 337, 1833.
Magnus, Phil. Mag., 18, 161, 1859.
Plateau, “Statique experimentale et theorique des liquides soumis aux seules forces moleculaires,” Paris 1873. (Access to Plateau's original memoir has not been obtained. References and quotations are taken from Lord Rayleigh's papers.)
Boys, “Soap Bubbles,” p. 79, 1902.
Rayleigh, Proc. Lon. Math. Soc., 10, 4, 1879; Proc. Roy. Soc., 29, 71, 1879.
q can only be positive if real, since such displacements cause a decrease of surface.
Rayleigh, Enc. Brit., 11th Ed., 5, 271, Art. on “Capillary Action.”
Ollivier, Ann. de Chim. et de Phys., 10, 313, 1907.
Castleman, Phys. Rev., 21, 709, 1923.
Rayleigh, Proc. Roy. Soc., 34, 130, 1882.
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CASTLEMAN, R. The Influence of the Degree of Instability on the Phenomena of Round Liquid Columns. Nature 114, 857–858 (1924). https://doi.org/10.1038/114857a0
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DOI: https://doi.org/10.1038/114857a0
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