Numerical Study on the Stability and Mixing of Vertical Round Buoyant Jet in Shallow Water

ZENG Yu-hong; HUAI Wen-xin

Volume 26 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(1): 83-91

ZENG Yu-hong, HUAI Wen-xin. Numerical Study on the Stability and Mixing of Vertical Round Buoyant Jet in Shallow Water[J]. Applied Mathematics and Mechanics, 2005, 26(1): 83-91.

Citation:

ZENG Yu-hong, HUAI Wen-xin. Numerical Study on the Stability and Mixing of Vertical Round Buoyant Jet in Shallow Water[J]. Applied Mathematics and Mechanics, 2005, 26(1): 83-91.

Citation:

ZENG Yu-hong, HUAI Wen-xin. Numerical Study on the Stability and Mixing of Vertical Round Buoyant Jet in Shallow Water[J]. Applied Mathematics and Mechanics, 2005, 26(1): 83-91.

PDF( 1868 KB)

Numerical Study on the Stability and Mixing of Vertical Round Buoyant Jet in Shallow Water

Wuhan University, Wuhan 430072, P. R. China

Received Date: 2003-11-28
Rev Recd Date: 2004-10-20
Publish Date: 2005-01-15

Abstract

Abstract

The k-epsilon model was applied to establish the mathematical model of vertical round buoyant jet discharging into confined depth,and it was solved using the Hybrid Finite Analytic Method (HFAM).The numerical predictions demonstrate two generic flow patterns for different jet discharge and environmental parameters:( ) a stable buoyant flow discharge with the mixed warm fluid leaving the near-field warm in a surface warm water layer;( ) an unstable buoyant flow discharge with recirculation and re-entrainment of warm water in the near field.Furthermore,the mixing characters of vertical round buoyant jet were numerically predicted.Both the stability criterion and numerical predictions of bulk dilutions are in excellent agreement with Lee and Jirkas experiments and theory.
- round buoyant jet,
- stability,
- numerical simulation,
- mixing character

FullText(HTML)

References(12)

References

[1]	Jirka Gerhard H,Harleman Donald R F.Stability and mixing of a vertical plane buoyant jet in confined depth[J].J Fluid Mech,1979,94(2)：275—304. doi: 10.1017/S0022112079001038
[2]	Kuang C P，Lee J H W.Effect of downstream control on stability and mixing of a vertical buoyant jet in confined depth[J].Journal of Hydraulic Research,2001,39(4):375—391. doi: 10.1080/00221680109499842
[3]	Kuang C P，Lee J H W.A numerical study on the stability of a vertical plane jet in confined depth[A].In:Lee,Jayawardena,Wang Eds.Environmental Hydraulics[C].Rotterdam:Balkema, 1999.
[4]	Jannis Andreopoulos.Experiments on vertical plane buoyant jets in shallow water[J].J Fluid Mech,1986,168(7)：305—336. doi: 10.1017/S0022112086000393
[5]	Joseph H W Lee,Jirka G H.Vertical round buoyant jet in shallow water[J].J Hyd Div ASCE,1981,107(12)：1651—1675.
[6]	李炜.粘性流体的混合有限分析解法[M].北京：科学出版社，2000.
[7]	Rawn A M,Plmaer H K.Predetermining the extent of a sewage field in seawater[J].Trans ASCE,1930,94(4)：201—210.
[8]	Albertson M L,Dai Y B,Jensen R A，et al.Diffusion of submerged jets[J].Trans ASCE,1950,115：639—664.
[9]	Gerhard H.Jirka, Multiport diffusers for heat disposal:a summary[J].J Hydraul Div ASCE,1982,108(12):1425—1468.
[10]	Iamandi C,Rouse H.Hot-induced circulation and diffusion[J].J Hydraul Div Proc ASCE,1969，95(HY2)：589—601.
[11]	Murota A,Muraoka K.Turbulent diffusion of a vertically upward jet[A].In:Proc 12th Cong IAHR[C].Colorado: Water Resoures Publications,1967,4：60—70.
[12]	Pan F,Acrivos A.Steady flows in rectangular cavities[J].J Fluid Mech,1968,28(10)：643—655.

Relative Articles

[1]	HOU Yaxin, LIU Yang, LI Hong. A Generalized BDF2-θ Finite Element Method for Nonlinear Distributed-Order Time-Fractional Hyperbolic Wave Equations[J]. Applied Mathematics and Mechanics, 2025, 46(1): 114-128. doi: 10.21656/1000-0887.450013
[2]	LIU Tangjing, WANG Qikun, ZOU He. Numerical Investigation of Particle Focusing Patterns in Laminar Pipe Flow With High Reynolds Numbers[J]. Applied Mathematics and Mechanics, 2023, 44(1): 70-79. doi: 10.21656/1000-0887.430075
[3]	YANG Zhi-yang, ZHAO Lei, LUO Ji-sheng. Instability and Transition Prediction of Stationary Crossflow Vortices Over Supersonic Swept Elliptic Cylinders[J]. Applied Mathematics and Mechanics, 2017, 38(8): 853-862. doi: 10.21656/1000-0887.370303
[4]	TANG Hong-mei, YAN Zhao-qi, CHEN Hong-kai. Numerical Simulation of Qingshi Landslide Beside Shennü Stream in the Three Gorges With the Discrete Element Method Under Different Water Levels[J]. Applied Mathematics and Mechanics, 2016, 37(5): 510-521. doi: 10.3879/j.issn.1000-0887.2016.05.007
[5]	ZHAO Shu-en, ZHAO Ling-he. Dynamic Simulation of Liquid Sloshing Characteristics for Tank Trucks in Lateral Movement[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1259-1270. doi: 10.3879/j.issn.1000-0887.2014.11.009
[6]	LIU Ya-ping, ZENG Zhong, XU Xiao-long, ZHANG Zhen, QU Jing-jing. Numerical Simulation of Monolayer Coolant-Side Heat Transfer Characteristics for Plate-Fin Oil Coolers With Different Structures[J]. Applied Mathematics and Mechanics, 2014, 35(7): 815-822. doi: 10.3879/j.issn.1000-0887.2014.07.011
[7]	CUI Tie-jun, MA Yun-dong>, WANG Lai-gui. Blasting Process Simulation and Stability Study of an Open Mine Slope Based on PFC3D[J]. Applied Mathematics and Mechanics, 2014, 35(7): 759-767. doi: 10.3879/j.issn.1000-0887.2014.07.005
[8]	CHEN Lin, ZHANG Xin-rong. Flow Stability and Heat Transfer Characteristics of Near-Critical Fluid in Micro-Scale Channels[J]. Applied Mathematics and Mechanics, 2014, 35(3): 233-246. doi: 10.3879/j.issn.1000-0887.2014.03.001
[9]	ZU Hong-biao, ZHOU Zhe-wei, WANG Zhi-liang. Properties of acoustic resonance in double-actuator ultra-sonic gas nozzle: numerical study[J]. Applied Mathematics and Mechanics, 2012, 33(12): 1379-1391. doi: 10.3879/j.issn.1000-0887.2012.12.001
[10]	ZHU Wei-yu, LU Tao, JIANG Pei-xue, GUO Zhi-jun, WANG Kui-sheng. Large Eddy Simulation of Hot and Cold Fluids Mixing in a T-Junction for Prediction of Thermal Fluctuations[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1295-1306. doi: 10.3879/j.issn.1000-0887.2009.11.004
[11]	HUAI Wen-xin, XIAO Qing-hua, ZENG Yu-hong, YANG Zhong-hua, QIAN Zhong-dong. Study on the Behavior of Near-Field Dilution of Thermal Buoyant Jet Discharged Horizontally in Compound Open-Channel[J]. Applied Mathematics and Mechanics, 2008, 29(2): 239-246.
[12]	HUAI Wen-xin, FANG Shen-guang. Research on Rounded Flowing States of Obstructed Buoyant Jet[J]. Applied Mathematics and Mechanics, 2006, 27(8): 987-993.
[13]	HUAI Wen-xin, FANG Shen-guang, DAI Hui-chao. Behavior of Obstructed Square Buoyant Vertical Jets in Static Ambient(Ⅰ)——Verification of Mathematical Model and Numerical Method[J]. Applied Mathematics and Mechanics, 2006, 27(5): 571-578.
[14]	HUAI Wen-xin, FANG Shen-guang, DAI Hui-chao. Behavior of Obstructed Square Buoyant Vertical Jets in Static Ambient(Ⅱ)——Analysis on the Behavior of Flow Field[J]. Applied Mathematics and Mechanics, 2006, 27(5): 579-585.
[15]	LIN Jian-zhong, ZHOU Ze-xuan. Research on Stability of Moving Jet Containing Dense Suspended Solid Particles[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1255-1264.
[16]	Yuan Yirang, Zhao Weidong, Cheng Aijie, Han Yuji. Numerical Simulation Analysis for Migration Accumulation of Oil and Water[J]. Applied Mathematics and Mechanics, 1999, 20(4): 386-392.
[17]	Zhou Youhe, Wang Xingzhe, Zheng Xiaojing. Magnetoelastic Bending and Stability of Soft Ferromagnetic Rectangular Plates[J]. Applied Mathematics and Mechanics, 1998, 19(7): 625-630.
[18]	Yu Zhaosheng, Lin Jianzhong. Numerical Research on the Coherent Structure in the Viscoelastic Second-Order Mixing Layers[J]. Applied Mathematics and Mechanics, 1998, 19(8): 671-677.
[19]	Zhou Zexuan, Lin Jianzhong. Effect of Suspended Solid Particles on Unstability of Two-Dimension Mixing Layer[J]. Applied Mathematics and Mechanics, 1997, 18(6): 507-512.
[20]	Li Junfeng, Wang Zhaolin. Stability of Non-Conservative Linear Gyroscopic Systems[J]. Applied Mathematics and Mechanics, 1996, 17(12): 1107-1111.