Details
| Original language | English |
|---|---|
| Pages (from-to) | 616-623 |
| Number of pages | 8 |
| Journal | Physics of Fluids |
| Volume | 13 |
| Issue number | 3 |
| Publication status | Published - 15 Feb 2001 |
| Externally published | Yes |
Abstract
This paper considers the flow of a Eulerian fluid jet emerging out of a slightly compressed circular or rectangular cross-section channel. The emerging fluid is subject to surface tension, which provides a restoring force and produces steady waves along the free surface. In this paper, the full nonlinear problem for the jet is formulated and a dimensionless surface tension parameter is identified. The linearized problem is then solved by the Wiener-Hopf technique. The free surface shape consists of a steady sinusoidal oscillation and a component which decays exponentially with distance from the channel opening. Asymptotic methods are used to find the surface profile near the channel exit.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Chemical Engineering(all)
- Fluid Flow and Transfer Processes
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In: Physics of Fluids, Vol. 13, No. 3, 15.02.2001, p. 616-623.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Capillary waves on a Eulerian jet emerging from a channel
AU - Osborne, Tobias J.
AU - Stump, D. M.
N1 - Copyright: Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2001/2/15
Y1 - 2001/2/15
N2 - This paper considers the flow of a Eulerian fluid jet emerging out of a slightly compressed circular or rectangular cross-section channel. The emerging fluid is subject to surface tension, which provides a restoring force and produces steady waves along the free surface. In this paper, the full nonlinear problem for the jet is formulated and a dimensionless surface tension parameter is identified. The linearized problem is then solved by the Wiener-Hopf technique. The free surface shape consists of a steady sinusoidal oscillation and a component which decays exponentially with distance from the channel opening. Asymptotic methods are used to find the surface profile near the channel exit.
AB - This paper considers the flow of a Eulerian fluid jet emerging out of a slightly compressed circular or rectangular cross-section channel. The emerging fluid is subject to surface tension, which provides a restoring force and produces steady waves along the free surface. In this paper, the full nonlinear problem for the jet is formulated and a dimensionless surface tension parameter is identified. The linearized problem is then solved by the Wiener-Hopf technique. The free surface shape consists of a steady sinusoidal oscillation and a component which decays exponentially with distance from the channel opening. Asymptotic methods are used to find the surface profile near the channel exit.
UR - http://www.scopus.com/inward/record.url?scp=0035275085&partnerID=8YFLogxK
U2 - 10.1063/1.1343483
DO - 10.1063/1.1343483
M3 - Article
AN - SCOPUS:0035275085
VL - 13
SP - 616
EP - 623
JO - Physics of Fluids
JF - Physics of Fluids
SN - 1070-6631
IS - 3
ER -