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Research Papers: Fundamental Issues and Canonical Flows

Characteristics of Sheet Formed by Collision of Two Elliptical Jets at Short Impact Distance

[+] Author and Article Information
Fei Zhao, Chao-jie Mo, Xue-de Li

School of Astronautics,
Beijing University of Aeronautics
and Astronautics,
Beijing 100191, China

Li-jun Yang

School of Astronautics,
Beijing University of Aeronautics
and Astronautics,
Beijing 100191, China
e-mail: yanglijun@buaa.edu.cn

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 30, 2015; final manuscript received October 13, 2015; published online January 5, 2016. Assoc. Editor: John Abraham.

J. Fluids Eng 138(5), 051201 (Jan 05, 2016) (10 pages) Paper No: FE-15-1524; doi: 10.1115/1.4031869 History: Received July 30, 2015; Revised October 13, 2015

The research on characteristics of impinging jet has a long history and focuses mainly on the circular jets, whereas the impingement of noncircular jets, such as elliptical jets, receives much less attention. This paper investigated liquid sheet resulting from the oblique collision of two elliptical jets at short impact distance. The elliptical liquid jets contract and collide obliquely at impact point, forming a sheet in the form of a leaf bounded by a thicker rim. An improved theoretical model, taking jet contraction into account, for two elliptical impinging jets is established. The sheet features are obtained by combining the conservation equations between the liquid jet and sheet with the force balance equations of the sheet rim. The calculated sheet shapes are compared with the experiments, and the results show good agreement. The experimental results also indicate that the liquid sheet formed by elliptical jets tends to be larger and more unstable than that formed by circular jets. Based on the model, the effects of axial ratio and impact distance on the sheet characteristics, such as sheet shape and thickness, are also studied.

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Figures

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Fig. 1

Sketch of the jet discharging from an elliptical orifice

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Fig. 2

Schematic of the experimental system

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Fig. 3

Schematic of the impinging-jet injectors: (a) internal structure of the impinging-jet injector and (b) geometry of injector exits, view from A in (a)

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Fig. 7

The oscillation of jet collision cross section

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Fig. 6

Control volume of an angular differential element dα used to establish conservation equations

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Fig. 5

The sketch of liquid sheet formed by two elliptical impinging jets

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Fig. 8

Force balance at the sheet rim

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Fig. 9

Comparisons between experimental results and theoretical predictions: (a) 80%, vj = 5.23 m/s, Re = 108, and We = 406; (b) 80%, vj = 5.06 m/s, Re = 91, and We = 332; (c) 80%, vj = 5.03 m/s, Re = 71, and We = 258; (d) 85%, vj = 5.61 m/s, Re = 65, and We = 477; (e) 85%, vj = 5.42 m/s, Re = 55, and We = 390; (f) 85%, vj = 5.48 m/s, Re = 44, and We = 313; (g) 90%, vj = 6.21 m/s, Re = 37, and We = 599; (h) 90%, vj = 6.14 m/s, Re = 32, and We = 512; and (i) 90%, vj = 5.91 m/s, Re = 25, and We = 373

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Fig. 10

Comparisons of sheet length L and width W between experimental results and theoretical predictions when nozzle orifices vary for 80% glycerol–water

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Fig. 11

Comparisons of sheet length L and width W between experimental results and theoretical predictions when nozzle orifices vary for 85% glycerol–water

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Fig. 12

Comparisons of sheet length L and width W between experimental results and theoretical predictions when nozzle orifices vary for 90% glycerol–water

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Fig. 4

Oscillation of elliptical jet with axial distance for different We

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Fig. 13

Theoretically predicted sheet characteristics: (a) sheet contours and (b) sheet thickness at 2α = 90, li = 5.6 mm, We = 322.6, and Re = 53.4, when axial ratio varies

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Fig. 14

Variation of dimensionless semi-axis and hunting speed along with axis distance for the nozzle orifices with different axial ratios

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Fig. 15

Theoretically predicted sheet characteristics: (a) sheet contours and (b) sheet thickness at 2α = 90, We = 295.2, and Re = 51.2, when li varies for elliptical orifice E2

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Fig. 16

Variation of cross sections and hunting speed along with axis distance for the elliptical orifices E2

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