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Lattice Boltzmann Study of Flow and Temperature Structures ofNon-Isothermal Laminar Impinging Streams

Published online by Cambridge University Press:  03 June 2015

Wenhuan Zhang*
Affiliation:
State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China
Zhenhua Chai*
Affiliation:
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
Zhaoli Guo*
Affiliation:
State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China
Baochang Shi*
Affiliation:
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
*
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Abstract

Previous works on impinging streams mainly focused on the structures of flow field, but paid less attention to the structures of temperature field, which are very important in practical applications. In this paper, the influences of the Reynolds number (Re) and Prandtl number (Pr) on the structures of flow and temperature fields of non-isothermal laminar impinging streams are both studied numerically with the lattice Boltzmann method, and two cases with and without buoyancy effect are considered. Numerical results show that the structures are quite different in these cases. Moreover, in the case with buoyancy effect, some new deflection and periodic structures are found, and their independence on the outlet boundary condition is also verified. These findings may help to understand the flow and temperature structures of non-isothermal impinging streams further.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2013

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References

[1]Wood, P., Hrymak, A., Yeo, R., Johnson, D. and Tyagi, A., Experimental and computational studies of the fluid mechanics in an opposed jet mixing head, Phys. Fluids A, 3 (1991), 13621368.Google Scholar
[2]Santos, R. J., Teixeira, A. M., and Lopes, J. B., Study of mixing and chemical reaction in RIM, Chem. Eng. Sci., 60 (2005), 23812398.Google Scholar
[3]Bermana, Y., Tanklevskya, A., Orenb, Y. and Tamira, A., Modeling and experimental studies of SO2 absorption in coaxial cylinders with impinging streams: part II, Chem. Eng. Sci., 55 (2000), 10231028.Google Scholar
[4]Dehkordi, A. M., Application of a novel-opposed-jets contacting device in liquid-liquid extraction, Chem. Eng. Process., 41 (2002), 251258.Google Scholar
[5]Hosseinalipour, S. M. and Mujumdar, A. S., Flow, Heat Transfer and Particle Drying Characteristics in Confined Opposing Turbulent Jets: a Numerical Study, Drying Technol., 13 (1995), 753781.Google Scholar
[6]Tamir, A., Impinging-stream reactors: fundamentals and applications, Elsevier, 1994.Google Scholar
[7]Wu, Y., Impinging streams: fundamentals, properties and applications, Elsevier, 2007.Google Scholar
[8]Denshchikov, V. A., Kontratev, V. N. and Romashev, A. N., Interaction between two opposed jets, Fluid Dyn., 13 (1978), 924926.CrossRefGoogle Scholar
[9]Denshchikov, V. A., Kontratev, V. N., Romashev, A. N. and Chubarov, V. M., Auto-oscillations of planar colliding jets, Fluid Dyn., 18 (1983), 460462.CrossRefGoogle Scholar
[10]Rolon, J. C., Veynante, D. and Martin, J. P., Counter jet stagnation flows, Exp. Fluids, 11 (1991), 313324.Google Scholar
[11]Pawlowski, R. P., Salinger, A. G., Shadid, J. N. and Mountziaris, T. J., Bifurcation and stability analysis of laminar isothermal counterflowing jets, J. Fluid Mech., 551 (2006), 117139.CrossRefGoogle Scholar
[12]Hasan, N. and Khan, S. A., Two-dimensional interactions of non-isothermal counter-flowing streams in an adiabatic channel with aiding and opposing buoyancy, Int. J. Heat Mass Transfer, 54 (2011), 11501167.Google Scholar
[13]Qian, Y. H., Succi, S. and Orszag, S. A., Recent advances in Lattice Boltzmann computing, Annu. Rev. Comput. Phys., 3 (1995), 195242.Google Scholar
[14]Chen, S. Y. and Doolen, G. D., Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid Mech., 30 (1998), 329364.Google Scholar
[15]Aidun, C. K. and Clausen, J. R., Lattice-Boltzmann Method for Complex Flows, Annu. Rev. Fluid Mech., 42 (2010), 439472Google Scholar
[16]Tolke, J., Implementation of a Lattice Boltzmann kernel using the Compute Unified Device Architecture developed by nVIDIA, Comput. Visualization Sci., 13 (2008), 2939.Google Scholar
[17]Tölke, J. and Krafczyk, M., TeraFLOP computing on a desktop PC with GPUs for 3D CFD, Int. J. Comput. Fluid Dyn., 22 (2008), 443456.CrossRefGoogle Scholar
[18]Bernaschi, M., Rossi, L., Benzi, R., Sbragaglia, M. and Succi, S., Graphics processing unit implementation of lattice Boltzmann models for flowing soft systems, Phys. Rev. E, 80 (2009), 066707.Google Scholar
[19]He, X. Y., Chen, S. Y. and Doolen, G. D., A novel thermal model of the lattice Boltzmann method in incompressible limit, J. Comput. Phys., 146 (1998), 282300.Google Scholar
[20]He, X.Y. and Luo, L.S., Lattice Boltzmann Model for the Incompressible Navier-Stokes Equation, J. Stat. Phys., 88 (1997), 927944.CrossRefGoogle Scholar
[21]Guo, Z. L., Shi, B. C. and Zheng, C. G., A coupled lattice BGK model for the Boussinesq equations, Int. J. Numer. Methods Fluids, 39 (2002), 325342.Google Scholar
[22]Guo, Z. L., Shi, B. C. and Wang, N. C., Lattice BGK Model for Incompressible Navier-Stokes Equation, J. Comput. Phys., 165 (2000), 288306.CrossRefGoogle Scholar
[23]Shi, B. C., He, N. Z. and Wang, N. C., A unified thermal Lattice BGK model for Boussinesq equations, Prog. Comput. Fluid Dyn., 5 (2005), 5064.Google Scholar
[24]Guo, Z. L., Zheng, C. G. and Shi, B. C., Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method, Chin. Phys., 11 (2002), 366374.Google Scholar
[25]Guo, Z. L., Zheng, C. G. and Shi, B. C., An extrapolation method for boundary conditions in lattice Boltzmann method, Phys. Fluids, 14 (2002), 20072010.Google Scholar
[26]Hosseinalipour, S. M. and Mujumdar, A. S., Flow and thermal characteristics of steady two-dimensional confined laminar opposing jets: Part I. Equal Jets, Int. Commun. Heat Mass Transfer, 24 (1997), 2738.Google Scholar
[27]Hortmann, M., Perk?, M. and Scheuerer, G., Finite volume multigrid prediction of laminar natural convection: bench-mark solutions, Int. J. Numer. Methods Fluids, 11 (1990), 189207.Google Scholar
[28]Barakos, G., Mitsoulis, E. and Assimacopoulos, D., Natural convection flow in a square cavity revisited: laminar and turbulent models with wall functions, Int. J. Numer. Methods Fluids, 18 (1994), 695719.Google Scholar
[29]Devahastin, S. and Mujumdar, A. S., A numerical study of flow and mixing characteristics of laminar confined impinging streams, Chem. Eng. J., 85 (2002), 215223.Google Scholar
[30]Devahastin, S. and Mujumdar, A. S., A numerical study of mixing in a novel impinging stream in-line mixer, Chem. Eng. Process., 40 (2001), 459470.CrossRefGoogle Scholar