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The trajectory and stability of a spiralling liquid jet. Part 1. Inviscid theory

Published online by Cambridge University Press:  17 June 2002

I. M. WALLWORK ,
S. P. DECENT ,
A. C. KING  and
R. M. S. M. SCHULKES
I. M. WALLWORK
Affiliation:
School of Mathematics and Statistics, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
S. P. DECENT
Affiliation:
School of Mathematics and Statistics, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
A. C. KING
Affiliation:
School of Mathematics and Statistics, The University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
R. M. S. M. SCHULKES
Affiliation:
Norsk Hydro a.s., Research Centre Porsgrunn, N-3901 Porsgrunn, Norway
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Abstract

We examine a spiralling slender inviscid liquid jet which emerges from a rapidly rotating orifice. The trajectory of this jet is determined using asymptotic methods, and the stability using a multiple scales approach. It is found that the trajectory of the jet becomes more tightly coiled as the Weber number is decreased. Unstable travelling wave modes are found to grow along the jet. The breakup length of the jet is calculated, showing good agreement with experiments.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 459 , 25 May 2002 , pp. 43 - 65
Copyright
© 2002 Cambridge University Press

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