Oblique liquid curtains with a large Froude number

This paper examines two-dimensional liquid curtains ejected at an angle to the horizontal and affected by gravity and surface tension. The flow in the curtain is, generally, sheared. The Froude number based on the injection velocity and the outlet’s width is assumed large; as a result, the streamwis...

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Bibliographic Details
Published in:Journal of fluid mechanics 2019-02, Vol.861, p.328-348
Main Author: Benilov, E. S.
Format: Article
Language:English
Subjects:
Bends
Boundary conditions
Curtains
Ejection
Fluid mechanics
Froude number
Gravitation
Gravity
JFM Papers
Kinematics
Kinetic energy
Solutions
Surface tension
Tension
Velocity
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Summary:This paper examines two-dimensional liquid curtains ejected at an angle to the horizontal and affected by gravity and surface tension. The flow in the curtain is, generally, sheared. The Froude number based on the injection velocity and the outlet’s width is assumed large; as a result, the streamwise scale of the curtain exceeds its thickness. A set of asymptotic equations for such (slender) curtains is derived and its steady solutions are examined. It is shown that, if the surface tension exceeds a certain threshold, the curtain – quite paradoxically – bends upwards, i.e. against gravity. Once the flow reaches the height where its initial supply of kinetic energy can take it, the curtain presumably breaks up and splashes down.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2018.925