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

I. M. Wallwork; S. P. Decent; A. C. King; R. M. S. M. Schulkes

doi:10.1017/S0022112002008108

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

I. M. Wallwork^*, S. P. Decent, A. C. King, R. M. S. M. Schulkes

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

86 Citations (Scopus)

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.

Original language	English
Pages (from-to)	43-65
Number of pages	23
Journal	Journal of Fluid Mechanics
Volume	459
DOIs	https://doi.org/10.1017/S0022112002008108
Publication status	Published - 25 May 2002
Externally published	Yes

Keywords

liquid jet
stability
trajectory

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Documents and Links

10.1017/S0022112002008108

Cite this

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title = "The trajectory and stability of a spiralling liquid jet. Part 1. Inviscid theory",

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.",

keywords = "liquid jet, stability, trajectory",

author = "Wallwork, {I. M.} and Decent, {S. P.} and King, {A. C.} and Schulkes, {R. M. S. M.}",

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AU - Wallwork, I. M.

AU - Decent, S. P.

AU - King, A. C.

AU - Schulkes, R. M. S. M.

PY - 2002/5/25

Y1 - 2002/5/25

N2 - 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.

AB - 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.

KW - liquid jet

KW - stability

KW - trajectory

U2 - 10.1017/S0022112002008108

DO - 10.1017/S0022112002008108

M3 - Article

AN - SCOPUS:0037172608

SN - 0022-1120

VL - 459

SP - 43

EP - 65

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Documents and Links

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