Journal
IMA JOURNAL OF APPLIED MATHEMATICS
Volume 74, Issue 5, Pages 741-781Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imamat/hxp012
Keywords
Needham-Leach method; jet; rupture
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The break-up of a slender viscous jet is examined using the Needham-Leach asymptotic method. This method enables the calculation of the large time asymptotic structure of the model evolution equations using matched asymptotic expansions. An equation which describes the dynamics of non-linear travelling waves at large times is derived using this method. In particular, the wave speed, wavelength, growth rate and frequency of these travelling waves are determined. This provides information on how the jet breaks up, the region of break-up and the possibility for multiple break-up points. Also, this method gives information on how non-linear jets may be controlled.
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