Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-09T05:47:16.942Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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