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Flow Characteristics of Flapping Motion of a Plane Water Jet Impinging onto Free Surface

Published online by Cambridge University Press:  03 June 2015

Liqing Zhao  and
Jianhong Sun
Liqing Zhao*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, Jiangsu, China
Jianhong Sun*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, Jiangsu, China
*
Email: zhaoliqing@nuaa.edu.cn
Corresponding author. Email: jhsun@nuaa.edu.cn
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Abstract

A submerged turbulent plane jet in shallow water impinging vertically onto the free surface will produce a large-scale flapping motion when the jet exit velocity is larger than a critical one. The flapping phenomenon is verified in this paper through a large eddy simulation where the free surface is modeled by volume of fluid approach. The quantitative results for flapping jet are found to be in good agreement with available experimental data in terms of mean velocity, flapping-induced velocity and turbulence intensity. Results show that the flapping motion is a new flow pattern with characteristic flapping frequency for submerged turbulent plane jets, the mean centerline velocity decay is considerably faster than that of the stable impinging jet without flapping motion, and the flapping-induced velocities are as important as the turbulent fluctuations.

Keywords

76D25Turbulent plane jetflapping motionvolume of fluidlarge eddy simulation
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Issue 6 , December 2013 , pp. 846 - 856
Copyright
Copyright © Global-Science Press 2013

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References

[1]Sun, J. H., Zhao, L.Q. and Hsu, C. T., Theoretical analyses on flapping motion of submerged turbulent plane jets, Mod. Phys. Lett. B, 19 (2005), pp. 1471–1474.Google Scholar
[2]Madarame, H. and Iida, M., Mechanism of jet-flutter: self-induced oscillation of an upward plane jet impinging on a free surface, JSME Int. J. B–Fluid T., 41 (1998), pp. 610–617.Google Scholar
[3]Wu, S., Rajaratnam, N. and Katopodis, C., Oscillating vertical plane turbulent jet in shallow water, J. Hydraul. Res., 36 (1998), pp. 229–234.CrossRefGoogle Scholar
[4]Hsu, C. T., Kuang, J. and Sun, J.H., Flapping instability of vertically impinging turbulent plane jets in shallow water, J. Eng. Mech., 127 (2001), pp. 411–420.Google Scholar
[5]Sun, J. H., Flapping Turbulent Plane Jets in Shallow Water and Interacting with Surface Waves, PhD thesis, The Hong Kong University of Science and Technology, Hong Kong, China, 2001.Google Scholar
[6]Goldschmidt, V. W. and Bradshaw, P., Flapping of a plane jet, Phys. Fluids, 16 (1973), pp. 354–355.CrossRefGoogle Scholar
[7]Gortari, J. C. D. and Goldschmidt, V. W., The apparent flapping motion of a turbulent plane jet: further experimental results, J. Fluids Eng., 103 (1981), pp. 119–126.Google Scholar
[8]Espa, P., Sibilla, S. and Gallati, M., SPH simulations of a vertical 2-D liquid jet introduced from the bottom of a free surface rectangular tank, Adv. Appl. Fluid Mech., 3 (2008), pp. 105–140.Google Scholar
[9]Kuang, J., Hsu, C. T. and Qiu, H. H., Experiments on vertical turbulent plane jets in water of finite depth, J. Eng. Mech., 127 (2001), pp. 18–26.CrossRefGoogle Scholar
[10]Rockwell, D., Oscillations of impinging shear layer, AIAA J., 21 (1983), pp. 645–664.Google Scholar
[11]Ohring, S., Calculation of self-excited impinging jet flow, J. Fluid Mech., 163 (1986), pp. 69–98.Google Scholar
[12]Gutmark, E., Wolfshtein, M. and Wygnanski, I., The plane turbulent impinging jet, J. Fluid Mech., 88 (1978), pp. 737–756.Google Scholar
[13]Zhao, L. Q., Sun, J. H. and Xu, C. Y., Flow field analyses of plane jet at low Reynolds number using lattice Boltzmann method, Transactions of Nanjing University of Aeronautics & Astronautics, 29 (2012), pp. 199–206.Google Scholar
[14]Zhao, L. Q., Sun, J. H. and Zhou, P. P., Numerical simulation flapping motion of submerged plane water jets, Mod. Phys. Lett. B, 23 (2009), pp. 329–332.Google Scholar
[15]Larocque, J., Riviére, N., Vincent, S., Reungoat, D., Faure, J. P., Heliot, J. P., Cal-Tagrione, J. P. and Moreau, M., Macroscopic analysis of a turbulent round liquid jet impinging on an air/water interface in a confined medium, Phys. Fluids, 21 (2009), 065110.Google Scholar
[16]Gueyffier, D., Li, J., Nadim, A., Scardovelli, R. and Zaleski, S., Volume-of-fluid interface tracking with smoothed surface stress method for three-dimensional flows, J. Comput. Phys., 152 (1999), pp. 423–456.Google Scholar
[17]Patankar, S. V. and Spalding, D. B., A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, Int. J. Heat Mass Tran., 15 (1972), pp. 1787–1806.Google Scholar
[18]Brackbill, J. U., Kothe, B. D. and Zemach, C., A continuum method for modeling surface tension, J. Comput. Phys., 100 (1992), pp. 335–354.CrossRefGoogle Scholar
[19]Majander, P. and Siikonen, T., Large-eddy simulation of a round jet in a cross-flow, Int. J. Heat Fluid Fl., 27 (2006), pp. 402–415.Google Scholar
[20]Jones, W. P. and Wille, M., Large-eddy simulation of a plane jet in a cross-flow, Int. J. Heat Fluid Fl., 17 (1996), pp. 296–306.CrossRefGoogle Scholar
[21]Vreman, B., Geurts, B. and Kuerten, H., Comparison of numerical schemes in large-eddy simulation of the temporal mixing layer, Int. J. Numer. Meth. Fl., 22 (1996), pp. 297–311.Google Scholar
[22]Reynolds, W. C. and Hussain, A. K. M. F., The mechanics of an organized wave in turbulent shear flow, part 3: theoretical models and comparisons with experiments, J. Fluid Mech., 54 (1972), pp. 263–288.Google Scholar
[23]Crow, S. C. and Champagne, F. H., Orderly structure in jet turbulence, J. Fluid Mech., 48 (1971), pp. 547–591.Google Scholar