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Steady and Transient Numerical Solutions for Turbulent Fountain Jet

Remili Sadia(1*), Azzi Abbes(2)

(1) Université des sciences et de la technologie USTO ORAN, Algeria
(2) Université des sciences et de la technologie USTO ORAN, Algeria
(*) Corresponding author


DOI: https://doi.org/10.15866/ireme.v14i3.17783

Abstract


Steady and unsteady numerical simulations of fountain jets covering several Froude numbers are performed using Computational Fluid Dynamic software. The physical model of the studied fountain is reproduced by dense fluid injected upwards in a less dense environment, while the mathematical model consists of the Navier-Stokes equations and a turbulence model. This model is solved numerically by using the finite volume method. Usually, a fountain jet reaches a maximum vertical penetration, then reverses, and folds into an annular region surrounding the jet. The final height of the jet is always lower than the one reached in the first moments of the jet’s lifetime. Thus, for a steady state situation, two parameters are of interest to predict, namely the maximum height and the final height of the jet. In a first step of this study, the attention has been devoted to the prediction of the final height of the fountain according to the Froude number. It has been found out that this height is correlated to the Froude number by three laws depending on the value of the Froude number. This finding fits well with previous theoretical and numerical studies. In a second step and for selected Richardson numbers, transient calculations highlighting the fountain behavior from the beginning to the final steady state have been conducted. The temporal variation of the fountain height is represented as well as the instantaneous figures highlighting the streamlines.
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Keywords


Fountain; Buoyancy; CFD; Froude Number; Richardson Number

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References


S. S. Manning, J. P. Dixon, G. F. Birch abd C. H. Besley, Deepwater ocean outfalls: A sustainable solution for sewage discharge for mega-coastal cities (Sydney, Australia): Influences on beach water quality, Marine Pollution Bulletin, Volume 145, August 2019, Pages 691-706.
https://doi.org/10.1016/j.marpolbul.2019.05.010

C. Camp, S. Lynn, G. Kelvin, N. Strater and B. Dorwart, HDD Design for Construction Ocean Outfall, Pipelines 2019 July 21–24, 2019 | Nashville, Tennessee.
https://doi.org/10.1061/9780784482490.069

C.V. Bruna C, S. Camila, A. Olivial, G. Endrigo, R. Victoria, S. Maalouf and R. Zambon, Capacity Expansion Study of the Santos Ocean Outfall, Brazil, World Environmental and Water Resources Congress 2018 June 3–7, 2018 | Minneapolis, Minnesota.
https://doi.org/10.1061/9780784481394.030

A. Heleen, R.M. Couture, J.B. Leah, M.N. Futter, S. Valinia, K. Austnes, J.L. Guerrero and Y. Lin, Pipes or chimneys? For carbon cycling in small boreal lakes, precipitation matters most, Limnology and Oceanography Letters,Volume3, Issue3, Special Issue : Carbon cycling in inland waters: Progress and perspectives, June 2018, Pages 275-284.
https://doi.org/10.1002/lol2.10077

Avgerinos, N., Neofytou, P., CFD Analysis and Comparison with Experimental Results of Underwater Vertical Upward Air and Oil Jets, (2015) International Review of Mechanical Engineering (IREME), 9 (5), pp. 443-449.
https://doi.org/10.15866/ireme.v9i5.6618

M. Kim, H.D Kim, E. Yeom, K.C. Kim, Flow characteristics of three-dimensional curved wall jets on a cylinder. J. Fluids Eng. ASME 2018, 140, 041201-1–041201-7.
https://doi.org/10.1115/1.4038089

M. Chen, H. Huang, X. Zhang, L. Senpeng and L. Rengmin, Experimental Investigation on Mean Flow Development of a Three-DimensionalWall Jet Confined by a Vertical Baffle, MDPI, Water 2019, 11, 237.
https://doi.org/10.3390/w11020237

Belahouel, M., Abdenbi, A., Numerical Simulation of the Interaction of a Jet of Gas with a Liquid Surface, (2014) International Review of Mechanical Engineering (IREME), 8 (5), pp. 857-863.
https://doi.org/10.15866/ireme.v8i5.2576

A. Fragkou and P. Papanicolaou, Positively and Negatively Round Turbulent Buoyant Jets into Homogeneous Calm Ambient, MDPI, Jul 31, 2018-Proceedings 2018, 2, 572.
https://doi.org/10.3390/proceedings2110572

S. Ferrari, M. GraziaBadas and G. Querzoli, An Investigation on the Effects of Different Stratifications on Negatively Buoyant Jets, EPJ Web of Conferences 180, 02025 (2018).
https://doi.org/10.1051/epjconf/201818002025

J. S. Turner, Jets and Plumes with Negative or Reversing Buoyancy. J. Fluid Mech. Vol. 26, pp. 779-792, 1966.
https://doi.org/10.1017/s0022112066001526

L. M. McGurk, N. Williamson, S. W. Armfield and M. P. Kirkpatrick, Experimental investigation into turbulent negatively buoyant jets using combined PIV and LIF measurements, 21st Australasian Fluid Mechanics Conference Adelaide, Australia 10-13 December 2018.

E. Bumrungthaichaichan, A. Namkanisorn and S. Wattananusorn, CFD modelling of pump-around jet mixing tanks: a discrepancy in concentration profiles, Journal of the Chinese Institute of Engineers, Volume 41, 2018 -Issue 7, Pages 612-621.
https://doi.org/10.1080/02533839.2018.1530956

Basheer Faraj, M., Aftab, S., Mustapha, F., Ariffin, M., Ahmad, K., Numerical Studies on Heat Ventilation Air Conditioning (HVAC) System in Operation Theaters: a Review, (2018) International Review of Mechanical Engineering (IREME), 12 (7), pp. 635-641.
https://doi.org/10.15866/ireme.v12i7.14277

Altawil, H., Mogheir, Y., Analyzing the Impact of the Disposed Brine by Deir El-Balah Desalination Plant on Seawater Pollution Level in Gaza-Palestine, (2016) International Review of Civil Engineering (IRECE), 7 (1), pp. 18-26.
https://doi.org/10.15866/irece.v7i1.8264

S. Phapatarinan, E. Bumrungthaichaichan and S. Wattananusorn, A suitable k-epsilon model for CFD simulation of pump-around jet mixing tank with moderate jet reynolds number, MATEC Web Conf. Volume 192, 2018, The 4th International Conference on Engineering, Applied Sciences and Technology (ICEAST 2018).
https://doi.org/10.1051/matecconf/201819203010

R.A Ávila1 and H.R. Calil, Buoyancy-driven effects on turbulent diffusivity induced by a river plume in the southern brazilian shelf, Ocean Sci. Discuss.
https://doi.org/10.5194/os-2018-66

A.K. Panagopoulos, J. Haralambous and M. Loizidou, Desalination brine disposal methods and treatment technologies - A review, Science of The Total Environment, Volume 693, 25 November 2019, 133545,
https://doi.org/10.1016/j.scitotenv.2019.07.351

G. Xie, C.L. Liu, L. Ye and R. Wang, Numerical Study on Analogy Principle of Overall Cooling Effectiveness in Engine and Laboratory Condition, ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, June 11–15, 2018, Oslo, Norway, Volume 5A: Heat Transfer.
https://doi.org/10.1115/gt2018-76162

A. Nadeem, A Review of Sources, Effects, Disposal Methods, and Regulations of Brine into Marine Environments. Ocean & Coastal Management journal. Vol. 87, pp.1-7, 2013.
https://doi.org/10.1016/j.ocecoaman.2013.10.020

T. J. McDougall, Negative Buoyant Vertical Jets. Tellus, Vol. 33(3), pp. 313-320, 1981.
https://doi.org/10.3402/tellusa.v33i3.10718

G. R.Hunt, H. C. Burridge, Fountains in industry and nature. Annual Review of Fluid Mechanics. Vol. 47. pp. 195-220. ISSN 0066-4189, 2015.
https://doi.org/10.1146/annurev-fluid-010313-141311

W. R. Lindberg, Experiments on Negatively Buoyant Jets with and Without Cross-Flow. Recent Research Advances in the Fluid Mechanics of Turbulent Jets and Plumes, Vol. 255. pp. 131-145, 1994.
https://doi.org/10.1007/978-94-011-0918-5_8

W. Lin, T Liu, W. Gao, S. Armfield, Three-dimensional direct numerical simulation of unsteady transitional round fountains in a homogeneous fluid. Applied Mechanics and Materials. Vol.553, pp. 150-156, 2014.
https://doi.org/10.4028/www.scientific.net/amm.553.150

P. N. Papanicolaou, I. G. Papakonstantis, G. C. Christodoulou, On the Entrainment Coefficient in Negatively Buoyant Jets. J. Fluid Mech. Vol. 614, pp.447–470, 2008.
https://doi.org/10.1017/s0022112008003509

J. Thanos, N. Papanicolaou, Vertical Turbulent Fountains in a Uniform Calm Ambient, Proc. the 2006 IASME/WSEAS Int. Conf. on Water Resources, Hydraulics & Hydrology, Chalkida, Greece, May 11-13. pp. 98-105,2006.

N. B. Kaye, G. R. Hunt, Weak Fountains. Journal of Fluid Mechanic, Vol. 558, pp. 319-328, 2006.

W. Lin, S. W. Armfield, The Reynolds and Prandtl number dependence of weak fountains, Computational Mech. Vol. 31, pp. 379–389, 2003.
https://doi.org/10.1007/s00466-003-0440-5

F.R. Menter, and Y. Egorov, The Scale-Adaptive Simulation Method for Unsteady Turbulent Flow Predictions. Part 1:Theory and Model Description, Flow Turbulence Combust 85:113-138, 2010.
https://doi.org/10.1007/s10494-010-9264-5

A. Rezaeiha, H. Montazeri and B. Blocken, CFD analysis of dynamic stall on vertical axis wind turbines using Scale-Adaptive Simulation (SAS): Comparison against URANS and hybrid RANS/LES, Energy Conversion and Management, Volume 196, 15 September 2019, Pages 1282-1298.
https://doi.org/10.1016/j.enconman.2019.06.081

Sunil, A., Tide, P., Numerical Investigations on Suppression of Aeolian Vibrations on a Tall Chimney Using Helical Strakes, (2019) International Journal on Engineering Applications (IREA), 7 (5), pp. 152-159.
https://doi.org/10.15866/irea.v7i5.17764

Belfkira, Z., Mounir, H., El Marjani, A., Comparison of Experimental and Numerical Performances of a Wind Turbine Airfoil Using XFOIL and Computational Fluid Dynamics Simulation, (2019) International Review on Modelling and Simulations (IREMOS), 12 (4), pp. 212-221.
https://doi.org/10.15866/iremos.v12i4.16175

Marchetto, F., Benini, E., Numerical Simulation of Harmonic Pitching Supercritical Airfoils Equipped with Movable Gurney Flaps, (2019) International Review of Aerospace Engineering (IREASE), 12 (3), pp. 109-122.
https://doi.org/10.15866/irease.v12i3.16723


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