Abstract
This paper investigates a numerical and experimental study about buoyant wall turbulent jet in a static homogeneous environment. A light fluid of fresh water is injected horizontally and tangentially to a plane wall into homogenous salt water ambient. This later is given with different values of salinity and the initial fractional density is small, so the applicability of the Boussinesq approximation is valid. Since the domain temperature is assumed to be constant, the density of the mixture is a function of the salt concentration only. Mathematical model is based on the finite volume method and reports on an application of standard k-ε turbulence model for steady flow with densimetric Froude numbers of 1–75 and Reynolds numbers of 2 000–6 000. The basic features of the model are the conservation of mass, momentum and concentration. The boundaries of jet body, the radius and cling length are determined. It is found that the jet spreading and behavior depend on the ratio between initial buoyancy flux and momentum, i.e., initial Froude number, and on the influence of wall boundary which corresponds to Coanda effect. Laboratory experiments were conducted with photographic observations of jet trajectories and numerical results are described and compared with the experiments. A good agreement with numerical and experimental results has been achieved.
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SINGH N. K., RAMAMURTHI K. Formation of Coanda jet from sharp-edged swirl nozzle with base plate[J]. Experimental Thermal and Fluid Science, 2009, 33(4): 675–682.
SHARP J. J., VYAS B. D. The buoyant wall jet[J]. Ice Proceedings, 1977, 63(3): 593–611.
HUAI Wen-xin, LI Zhi-wei and QIAN Zhong-dong et al. Numerical simulation of horizontal buoyant wall jet[J]. Journal of Hydrodynamics, 2010, 22(1): 58–65.
LI Z., HUAI W. and QIAN Z. Large eddy simulation of flow structure in the near region of a circular wall jet[J]. Procedia Engineering, 2012, 31: 713–722.
ZEYTOUNIAN R. K. Joseph Boussinesq and his approximation: A contemporary view[J]. C. R. Mécanique, 2003, 331: 575–586.
BOIS P. A. Joseph Boussinesq (1842–1929): A pioneer of mechanical modelling at the end of the 19th Centu-ry[J]. C. R. Mécanique, 2007, 335: 479–495.
EL-AMIN M. F. Non-Boussinesq turbulent buoyant jet resulting from hydrogen leakage in air[J]. International Journal of Hydrogen Energy, 2009, 34(18): 7873–7882.
SWAIN M. R., FILOSO P. and GRILLIOT E. S. et al. Hydrogen leakage into simple geometric enclosures[J]. International Journal of Hydrogen Energy, 2003, 28(2): 229–248.
VANIERSCHOT M., BULCK E. V. Hysteresis in flow patterns in annular swirling jets[J]. Experimental Thermal and Fluid Science, 2007, 31(6): 513–524.
CHIEKH M. B., BERA J. C. and SUNYACH M. Synthetic jet control for flows in a diffuser: Vectoring, spreading and mixing enhancement[J]. Journal of Turbulence, 2003, 4(5): 37–41.
JIANG H., BREIER J. A. Physical controls on mixing and transport within rising submarine hydrothermal plumes: A numerical simulation study[J]. Deep Sea Research Part I Oceanographic Research, 2014, 92(10): 41–55.
FAN L. N., BROOKS N. H. Discussion of Ref. 2[C]. Proceeding of ASCE Journal of Hydrahlic Division. 1966, HY2: 423–429.
HOUF W. G., SCHEFER R. W. Analytical and experimental investigation of small-scale unintended releases of Hydrogen[J]. International Journal of Hydogen Energy, 2008, 33: 1435–1444.
EL-AMIN M. F., SUN S. and KANAYAMA H. Non-Boussinesq turbulent buoyant plume of a low-density gas leaks into a high-density ambient[J]. Applied Mathematics and computation, 2010, 217(8): 3764–3778.
TENNEKES H., LUMLEY J. L. A first course in turbulence[M]. Cambridge, USA: The MIT Press, 1972.
MEHTA D., Van ZUIJLEN A. H. and KOREN B. et al. Large eddy simulation of wind farm aerodynamics: A review[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2014, 133: 1–17.
ANSYS FLUENT. Tutorial guide[R]. 2009.
BELCAID A. Modélisation de la dispersion des pollutants dans un milieu marin via les oueds et les émissaires sous-marins[D]. Application to the pollution of the Bay of Tangier (Morocco), Doctoral Thesis. Marseille, France: Aix-Marseille Universitys, 2013, 183(in France).
HAN G., ZHOU M. D. and WYGNANSKI I. Some observations of the coanda effect. engineering turbulence modelling and experiments 6[C]. Procedings of the ERCOFTAC International Symposium on Engineering Turbulence Modelling and Measurements, ETMM6. Sardinia, Italy, 2005, 545–553.
THUAL O. Hydrodynamics of the environment[M]. Paris, France: Ecole Polytechnique, 2010, 328(in France).
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Biography: BELCAID Aicha (1985-), Female, Ph. D., Trainer and framer
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Belcaid, A., Le Palec, G. & Draoui, A. Numerical and experimental study of Boussinesq wall horizontal turbulent jet of fresh water in a static homogeneous environment of salt water. J Hydrodyn 27, 604–615 (2015). https://doi.org/10.1016/S1001-6058(15)60522-4
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DOI: https://doi.org/10.1016/S1001-6058(15)60522-4