Lattice Boltzmann simulation of a laminar square jet in cross flows

doi:10.1016/j.cjche.2016.03.008

Chinese Journal of Chemical Engineering ›› 2016, Vol. 24 ›› Issue (11): 1505-1512.DOI: 10.1016/j.cjche.2016.03.008

• 第25届中国过程控制会议专栏 • 上一篇下一篇

Lattice Boltzmann simulation of a laminar square jet in cross flows

Guoneng Li, Youqu Zheng, Huawen Yang, Wenwen Guo, Yousheng Xu

Department of Energy and Environment System Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China

收稿日期:2016-01-04 修回日期:2016-03-24 出版日期:2016-11-28 发布日期:2016-12-06
通讯作者: Guoneng Li
基金资助:
Supported by the National Natural Science Foundation of China (51476145, 51476146).

Lattice Boltzmann simulation of a laminar square jet in cross flows

Guoneng Li, Youqu Zheng, Huawen Yang, Wenwen Guo, Yousheng Xu

Department of Energy and Environment System Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China

Received:2016-01-04 Revised:2016-03-24 Online:2016-11-28 Published:2016-12-06
Contact: Guoneng Li
Supported by:
Supported by the National Natural Science Foundation of China (51476145, 51476146).

摘要/Abstract

摘要： A three-dimensional, nineteen-velocity (D3Q19) Lattice BoltzmannMethod (LBM) modelwas developed to simulate the fluid flow of a laminar square jet in cross flows based on the single relaxation time algorithm. The code was validated by the mathematic solution of the Poiseuille flow in a square channel, and was further validated with a previouswell studied empirical correlation for the central trajectory of a jet in cross flows. The developed LBM model was found to be able to capture the dominant vortex, i.e. the Counter-rotating Vortex Pair (CVP) and the upright wake vortex. Results show that the incoming fluid in the cross flow channel was entrained into the leeside of the jet fluid, which contributes to the blending of the jet. That the spread width of the transverse jet decreaseswith the velocity ratio. A layer-organized entrainment pattern was found indicating that the incoming fluid at the lower position is firstly entrained into the leeside of the jet, and followed by the incoming fluid at the upper position.

关键词: Lattice Boltzmann method, Square jet, Cross flow, Laminar flow

Abstract: A three-dimensional, nineteen-velocity (D3Q19) Lattice BoltzmannMethod (LBM) modelwas developed to simulate the fluid flow of a laminar square jet in cross flows based on the single relaxation time algorithm. The code was validated by the mathematic solution of the Poiseuille flow in a square channel, and was further validated with a previouswell studied empirical correlation for the central trajectory of a jet in cross flows. The developed LBM model was found to be able to capture the dominant vortex, i.e. the Counter-rotating Vortex Pair (CVP) and the upright wake vortex. Results show that the incoming fluid in the cross flow channel was entrained into the leeside of the jet fluid, which contributes to the blending of the jet. That the spread width of the transverse jet decreaseswith the velocity ratio. A layer-organized entrainment pattern was found indicating that the incoming fluid at the lower position is firstly entrained into the leeside of the jet, and followed by the incoming fluid at the upper position.

Key words: Lattice Boltzmann method, Square jet, Cross flow, Laminar flow

Guoneng Li, Youqu Zheng, Huawen Yang, Wenwen Guo, Yousheng Xu. Lattice Boltzmann simulation of a laminar square jet in cross flows[J]. Chinese Journal of Chemical Engineering, 2016, 24(11): 1505-1512.

Guoneng Li, Youqu Zheng, Huawen Yang, Wenwen Guo, Yousheng Xu. Lattice Boltzmann simulation of a laminar square jet in cross flows[J]. Chin.J.Chem.Eng., 2016, 24(11): 1505-1512.

参考文献

[1] S. Muppidi, K. Mahesh, Study of trajectories of jets in crossflow using direct numerical simulations, J. Fluid Mech. 530(5) (2005) 81-100.
[2] R. Sau, K. Mahesh, Optimization of pulsed jets in crossflow, J. Fluid Mech. 653(6) (2010) 365-390.
[3] F. Muldoon, S. Acharya, Direct numerical simulation of pulsed jets-in-crossflow, Comput. Fluids 39(10) (2010) 1745-1773.
[4] A. Coussement, O. Gicquel, G. Degrez, Large eddy simulation of a pulsed jet in crossflow, J. Fluid Mech. 695(1) (2012) 1-34.
[5] S.H. Smith,M.G. Mungal, Mixing, structure and scaling of the jet in crossflow, J. Fluid Mech. 357(2) (1998) 83-122.
[6] J.Y. Fan, S.L. Xu, D.Z. Wang, PDA measurements of two-phase flow structure and particle dispersion for a particle-laden jet in crossflow, J. Hydrodyn. 22(1) (2010) 9-18.
[7] F. Yao, T.Wang, C. Gu, Experimental investigation on dilute gas-solidmultiphase jet in crossflow, J. Mech. Sci. Technol. 25(6) (2011) 1483-1493.
[8] Z.W. Li,W.X. Huai, Z.D. Qian, Study on the flow field and concentration characteristics of the multiple tandem jets in crossflow, Sci. China Tech. Sci. 55(10) (2012) 2778-2788.
[9] A. Sau, T.W.H. Sheu, R.R. Hwang, W.C. Yang, Three-dimensional simulation of square jets in cross-flow, Phys. Rev. E 69(6) (2004) 066302.
[10] Y.M. Marzouk, A.F. Ghoniem, Vorticity structure and evolution in a transverse jet, J. Fluid Mech. 575(3) (2007) 267-305.
[11] S. Muppidi, K. Mahesh, Direct numerical simulation of passive scalar transport in transverse jets, J. Fluid Mech. 598(3) (2008) 335-360.
[12] F. Schlegel, D.Wee, Y.M.Marzouk, A.F. Ghoniem, Contributions of thewall boundary layer to the formation of the counter-rotating vortex pair in transverse jets, J. Fluid Mech. 676(6) (2011) 461-490.
[13] Bagheri S, Schlatter P, Schmid P J, Henningson D S. Global stability of a jet in crossflow. J Fluid Mech, 2009, 624(1):33-11
[14] J. Davitian, D. Getsinger, C. Hendrickson, A.R. Karagozian, Transition to global instability in transverse-jet shear layers, J. Fluid Mech. 661(10) (2010) 294-315.
[15] M. Ilak, P. Schlatter, S. Bagheri, M. Chevalier, D.S. Henningson, Stability of a jet in crossflow, Phys. Fluids 23(9) (2011) 091113.
[16] M. Ilak, P. Schlatter, S. Bagheri, D.S. Henningson, Bifurcation and stability analysis of a jet in cross-flow:onset of global instability at a lowvelocity ratio, J. FluidMech. 696(4) (2012) 94-121.
[17] R.J. Margason, "Fifty years of jet in cross-flow research", In:Computational and experimental assessment of jets in cross-flow, Winchester, UK, 199234-75.
[18] A.R. Karagozian, "Background on and applications of jets in cross-flow", In:Manipulation and control of jets in cross-flow, Udine, Italy, 20013-13.
[19] S.Y. No, Empirical correlations for breakup length of liquid jet in uniformcross flow-A review, Korea Inst. Liq. Atomization 18(1) (2013) 35-43.
[20] E.M. Ivanova, B.E. Noll, M. Aigner, Computational modeling of turbulent mixing of a transverse jet, J. Eng. Gas Turbines Power 133(2) (2011) 021505.
[21] A. Javadi,W.A. El-Askary, Numerical prediction of turbulent flow structure generated by synthetic cross-jet into a turbulent boundary layer, Int. J. Numer. Methods Fluids 69(7) (2012) 1219-1236.
[22] D. Cavar, K.E.Meyer, LES of turbulent jet in cross-flow:Part 1-A numerical validation study, Int. J. Heat Fluid Flow 36(1) (2012) 18-34.
[23] D. Cavar, K.E. Meyer, LES of turbulent jet in cross-flow:Part 2-POD analysis and identification of coherent structures, Int. J. Heat Fluid Flow 36(1) (2012) 35-46.
[24] G. Bidan, D.E. Nikitopoulos, On steady and pulsed low-blowing-ratio transverse jets, J. Fluid Mech. 714(1) (2013) 393-433.
[25] P. Schlatter, S. Bagheri, D.S. Henningson, Self-sustained global oscillations in a jet in crossflow, Theor. comput. Fluid Dyn. 25(1-4) (2011) 129-146.
[26] R. Sau, K. Mahesh, Optimization of pulsed jets in crossflow, J. Fluid Mech. 653(6) (2010) 365-390.
[27] L. Jahanshaloo, E. Pouryazdanpanah, N.A.C. Sidik, A review on the application of the lattice Boltzmann method for turbulent flow simulation, Numer. Heat Transf. A 64(11) (2013) 938-953.
[28] G.N. Li, M. Aktas, Y. Bayazitoglu, A review on the discrete Boltzmann model for nanofluid heat transfer in enclosures and channels, Numer. Heat Transf. B 67(6) (2015) 463-488.
[29] A. Atia, K.Mohammedi, Pore-scale study based on lattice Boltzmannmethod of density driven natural convection during CO₂ injection project, Chin. J. Chem. Eng. 23(10) (2015) 1593-1602.
[30] M. Nazari, L. Louhghalam, M.H. Kayhani, Lattice Boltzmann simulation of double diffusive natural convection in a square cavity with a hot square obstacle, Chin. J. Chem. Eng. 23(1) (2015) 22-30.
[31] ChenW., Chen S.Y, Yuan X.G., Zhang H., Yu K., "Three-dimensional simulation of interfacial convection in CO₂-ethanol system by hybrid lattice Boltzmann method with experimental validation", Chin. J. Chem. Eng., 23(2):356-365(2015).
[32] B. Fu, X.G. Yuan, B.T. LIU, S.Y. CHEN, H.S. Zhang, A.W. Zeng, G.C. Yu, Characterization of Rayleigh Convection in InterfacialMass Transfer by Lattice Boltzmann Simulation and Experimental Verification, Chin. J. Chem. Eng. 19(5) (2011) 845-854.
[33] Y.M. Yong, S. Li, C. Yang, Transport of Wetting and Nonwetting Liquid Plugs in a T-shaped Microchannel, Chin. J. Chem. Eng. 21(5) (2013) 463-472.
[34] H. Zhou, Q. Tang, T. Ren, G.N. Li, K.F. Cen, Control of thermoacoustic instability by CO₂ and N₂ jet in cross-flow, Appl. Therm. Eng. 36(1) (2012) 353-359.
[35] G.N. Li, Y.Q. Zheng, G.L. Hu, Z.G. Zhang, Experiments on convection heat transfer enhancement of a rectangular flat plate by an impinging jet in cross flow, Chin. J. Chem. Eng. 22(5) (2014) 489-495.
[36] M. Hecht, J. Harting, Implementation of on-site velocity boundary conditions for D3Q19 lattice Boltzmann simulations, J. Stat. Mech. Theor. Exp. 1(1) (2008) 01018.
[37] S. Hou, Q. Zou, S. Chen, G. Doolen, A. Cogley, Simulation of cavity flow by the lattice Boltzmann method, J. Comput. phys. 118(2) (1995) 329-347.
[38] Q. Zou, X. He, On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys. Fluids 9(6) (1997) 1591-1598.
[39] R.Mei,W. Shyy, D. Yu, L.S. Luo, Lattice Boltzmann method for 3-D flowswith curved boundary, J. Comput. phys. 161(2) (2010) 680-699.
[40] M.C. Sukop, D.T. Thorne Jr., Lattice Boltzmann modeling:An introduction for geoscientists and engineers, Spring-Verlag Berlin Heidelberg press, 42-44, 2006.
[41] White F.M., Viscous fluid flow (3rd Ed.), Mc Graw Hill press, 112-113(2006).

Lattice Boltzmann simulation of a laminar square jet in cross flows

Lattice Boltzmann simulation of a laminar square jet in cross flows

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	Morteza Khoshvaght-Aliabadi, Saber Deldar, Shafiqur Rehman, Ashkan Alimoradi. Comparative study of heat transfer and pressure drop for curved-twisted tubes utilized in chemical engineering[J]. 中国化学工程学报, 2021, 40(12): 53-64.
[2]	Hongyuan Qi, Aiguo Liang, Huayi Jiang, Jianying Shi, Nana Sun, Yulong Wang. Surface wettability and flow properties of non-metallic pipes in laminar flow[J]. 中国化学工程学报, 2020, 28(3): 636-642.
[3]	A.A. Alfaryjat, A. Dobrovicescu, D. Stanciu. Influence of heat flux and Reynolds number on the entropy generation for different types of nanofluids in a hexagon microchannel heat sink[J]. Chinese Journal of Chemical Engineering, 2019, 27(3): 501-513.
[4]	Juan Huang, Gance Dai. Synergistic and interference effects in coaxial mixers: Numerical analysis of the power consumption[J]. Chinese Journal of Chemical Engineering, 2018, 26(4): 684-694.
[5]	Shuli Shu, Ning Yang. Numerical study and acceleration of LBM-RANS simulation of turbulent flow[J]. Chinese Journal of Chemical Engineering, 2018, 26(1): 31-42.
[6]	Weicheng Xu, Yumei Yong, Junbo Xu, Chao Yang. Effect of surface property on mass flux in a variable-section microchannel[J]. , 2017, 25(4): 401-407.
[7]	Houari Ameur. 3D hydrodynamics involving multiple eccentric impellers in unbaffled cylindrical tank[J]. Chinese Journal of Chemical Engineering, 2016, 24(5): 572-580.
[8]	Mohamad-Taghi Rostami, Ali Daneshgar. Modeling and experimental studies of methyl methacrylate polymerization in a tubular reactor[J]. , 2016, 24(12): 1655-1663.
[9]	Withada Jedsadaratanachai, Nuthvipa Jayranaiwachira, Pongjet Promvonge. 3D numerical study on flow structure and heat transfer in a circular tube with V-baffles[J]. , 2015, 23(2): 342-349.
[10]	Abdelmalek Atia, Kamal Mohammedi. Pore-scale study based on lattice Boltzmann method of density driven natural convection during CO₂ injection project[J]. , 2015, 23(10): 1593-1602.
[11]	Mohsen Nazari, Ladan Louhghalam, Mohamad Hassan Kayhani. Lattice Boltzmann simulation of double diffusive natural convection in a square cavity with a hot square obstacle[J]. Chinese Journal of Chemical Engineering, 2015, 23(1): 22-30.
[12]	李国能, 郑友取, 胡桂林, 张治国. Convective Heat Transfer Enhancement of a Rectangular Flat Plate by an Impinging Jet in Cross Flow[J]. Chinese Journal of Chemical Engineering, 2014, 22(5): 489-495.
[13]	梁栋, 张淑芬. A Contraction-expansion Helical Mixer in the Laminar Regime[J]. Chinese Journal of Chemical Engineering, 2014, 22(3): 261-266.
[14]	Hualing Yang, Ji Chen, WeiWang, Hongmin Cui, Dongli Zhang, Yu Liu. Extraction Kinetics of Lanthanum in Chloride Medium by Bifunctional Ionic Liquid [A336][CA-12] Using a Constant Interfacial Cellwith Laminar Flow[J]. , 2014, 22(10): 1174-1177.
[15]	雍玉梅, 李莎, 杨超, 尹小龙. Transport of Wetting and Nonwetting Liquid Plugs in a T-shaped Microchannel[J]. Chinese Journal of Chemical Engineering, 2013, 21(5): 463-472.