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Flow of a falling liquid curtain into a pool

Published online by Cambridge University Press:  17 February 2014

Harumichi Kyotoh ,
Kazuki Fujita ,
Koichi Nakano  and
Takeaki Tsuda
Harumichi Kyotoh*
Affiliation:
Department of Engineering Mechanics and Systems, University of Tsukuba, Tsukuba, Ibaraki 302-8573, Japan
Kazuki Fujita
Affiliation:
Research and Development Department, Yuken Kogyo Co., Ltd, Ayase, Kanagawa 252-1113, Japan
Koichi Nakano
Affiliation:
Technology Development Center, Dai Nippon Printing Co., Ltd., Tsukuba, Ibaraki 300-2646, Japan
Takeaki Tsuda
Affiliation:
Technology Development Center, Dai Nippon Printing Co., Ltd., Tsukuba, Ibaraki 300-2646, Japan
*
†Email address for correspondence: kyotoh@kz.tsukuba.ac.jp
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Abstract

We investigate the low-Weber-number flow of a liquid curtain bridged between two vertical edge guides and a pool surface. Three flow patterns, namely, steady vertical flow, steady oblique flow, and oscillatory oblique flow, are observed in our experiment. These patterns are caused by the Coanda effect of the jet around the meniscus that is formed in the matching region common to the liquid curtain and the pool surface. Here, the deflection angle of the jet is greater than $90^\circ $. The equation describing the motion of the liquid curtain applicable for a finite curtain slope is obtained using the intrinsic coordinate system in which the distance along the curtain is selected as one of the coordinates, and the equation of the meniscus motion is derived by considering the conservation of momentum. The curtain deformations of oblique flows are analysed by generating numerical simulations of these equations, and the simulation results are then compared with experimental results. Also, the period of oscillatory oblique flow is discussed and explained via the response analyses of the curtain, and the result shows that the period of the oscillations is close to that of the most amplified mode of the liquid curtain. Further, the detachment angle of the jet is discussed in relation to the Coanda effect of the jet in the meniscus.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Wakes/Jets: Jets Interfacial Flows (free surface): Liquid bridges
Type
Papers
Information
Journal of Fluid Mechanics , Volume 741 , 25 February 2014 , pp. 350 - 376
Copyright
© 2014 Cambridge University Press 

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Kyotoh et al. supplementary movie

Steady oblique flow in figure 4(a)

Download Kyotoh et al. supplementary movie(Video)
Video 4.8 MB

Kyotoh et al. supplementary movie

Steady oblique flow in figure 4(a)

Download Kyotoh et al. supplementary movie(Video)
Video 1.8 MB

Kyotoh et al. supplementary movie

Steady oblique flow in figure 4(b)

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Video 5.3 MB

Kyotoh et al. supplementary movie

Steady oblique flow in figure 4(b)

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Video 1.8 MB

Kyotoh et al. supplementary movie

Oscillatory oblique flow in figure 5(a)

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Video 15.9 MB

Kyotoh et al. supplementary movie

Oscillatory oblique flow in figure 5(a)

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Video 5.6 MB

Kyotoh et al. supplementary movie

Oscillatory oblique flow in figure 5(b)

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Video 15.7 MB

Kyotoh et al. supplementary movie

Oscillatory oblique flow in figure 5(b)

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Video 6.4 MB

Kyotoh et al. supplementary movie

Overview of the curtain behavior

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Video 6.2 MB

Kyotoh et al. supplementary movie

Overview of the curtain behavior

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Video 3.1 MB