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Note on the capillary thread instability for fluids of equal viscosities

Published online by Cambridge University Press:  26 April 2006

H. A. Stone  and
M. P. Brenner
H. A. Stone
Affiliation:
Division of Applied Sciences, Harvard University, Cambridge, MA 02138, USA
M. P. Brenner
Affiliation:
Department of Mathematics, MIT, Cambridge, MA 02139, USA
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Abstract

An analytic formula is derived for the Rayleigh growth rate of a fluid cylinder immersed in a fluid of equal viscosity, and an extension is given for concentric fluid threads.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 318 , 10 July 1996 , pp. 373 - 374
Copyright
© 1996 Cambridge University Press

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References

Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Gradshteyn, I. S. & Ryzhik, I. M. 1965 Tables of Integrals, Series and Products, 5th edn, p. 702, Academic.
Rayleigh, Lord 1892 On the instability of a cylinder of viscous liquid under the capillary force. Phil. Mag. 34, 145–154.Google Scholar
Tomotika, S. 1935 On the instability of a cylindrical thread of a viscous liquid surrounded by another viscous fluid. Proc. R. Soc. Lond. A 150, 322–337.Google Scholar