Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-28T16:15:23.939Z Has data issue: false hasContentIssue false

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
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

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
Copyright
© 2002 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.)