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The role of three-dimensional shapes in the break-up of charged dropsThe nonlinear dynamics of nonaxisymmetric inviscid charged conducting drops near the Rayleigh charge limit (R = 4) is investigated analytically. It is shown that only axisymmetric spheroid drops bifurcate from the sphere family when the charge is increased, that oblate spheroids at R greater than 4 are unstable to nonaxisymmetric disturbances governing drop breakup, and that prolate spheroids at R less than 4 are unstable only to axisymmetric disturbances tending to increase the length of the drop along its symmetry axis. The effects of external electric fields and rigid-body rotation are also analyzed, and the solutions for the amplitude equations at R just less than 4 (equivalent to the dynamical equations of the Henon-Heiles Hamiltonian) are explored.
Document ID
19870049300
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Natarajan, R.
(Massachusetts Inst. of Tech. Cambridge, MA, United States)
Brown, R. A.
(MIT Cambridge, MA, United States)
Date Acquired
August 13, 2013
Publication Date
March 9, 1987
Publication Information
Publication: Proceedings, Series A - Mathematical and Physical Sciences
Volume: 410
Issue: 1838,
ISSN: 0080-4630
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
87A36574
Distribution Limits
Public
Copyright
Other

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