Abstract
This paper simulates the bubble motion characteristics by lattice Boltzmann method in a bubble pump lifting pipe of a lithium bromide absorption refrigeration system. The density ratio of lithium bromide solution to water vapor is as high as 2778. An excessively high density ratio may cause numerical instability in the gas–liquid interface during the simulation processes. In this paper, an improved lattice Boltzmann model (ILBM) is used to solve the velocity fields and the pressure fields to simulate the multi-bubble motions in the lifting pipe. The ILBM is constructed by using a single distribution function to solve the velocity fields and the pressure fields based on free energy model with large density ratio. The simulation results include the coalescence processes, pressure distributions, and velocity distributions of bubbles. In order to investigate the effect of multi-bubble coalescence on the temperature distribution of the flow field, the improved lattice Boltzmann model is also coupled with thermal model. The results show that bubble coalescence is greatly affected by the disturbance of the surrounding flow field and the shape of the bubble is distorted and varies in various forms. In the point of multi-bubble coalescence, the velocity increases, and the pressure and temperature decrease.
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References
Y. Ammar, S. Joyce, R. Norman, Y. Wang, A.P. Roskilly, Low grade thermal energy sources and uses from theprocess industry in the UK. Appl. Energy 89(1), 3–20, (2012)
Y. Taitel, D. Bornea, A.E. Dukler, Modelling flow pattern transitions for steady upward gas‐liquid flow in vertical tubes. AIChE J. 26(3), 345–354 (1980)
M. Born, H.S. Green, A general kinetic theory of liquids. I. The molecular distribution functions. Proc. Roy. Soc. Londn. 188(1012), 10–18 (1946)
G.R. MeNamara, G. Zanetti, Use of the Boltzmann equation to simulate lattice automata. Phys. Rev. Lett. 61(20), 2332–2335 (1988)
F.J. Higuera, J. Jiménez, Boltzmann approach to lattice gas simulations. Europhys. Lett. 9(7), 663–668 (1989)
F.J. Higuera, S. Succi, R. Benzi, Lattice gas dynamics with enhanced collisions. Europhys. Lett. 9(4), 345–349 (1989)
S. Chen, H. Chen, D. Martnez et al., Lattice Boltzmann model for simulation of magnetohydrodynamics. Phys. Rev. Lett. 67(27), 3776–3779 (1991)
Y.H. Qian, D. d’Humières, P. Lallemand, Lattice BGK models for Navier-Stokes equation. Europhys. Lett. 17(6), 479–484 (1992)
P.L. Bhatnagar, E.P. Gross, M. Krook, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94(3), 511–525 (1954)
Q. Zou, S. Hou, S. Chen et al., A improved incompressible lattice Boltzmann model for time-independent flows. J. Stat. Phys. 81(1–2), 35–48 (1995)
Y. Chen, H. Ohashi, M. Akiyama, Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviations in macrodynamic equations. Phys. Rev. E 50(4), 2776–2783 (1994)
S. Hou, X. Shan, Q. Zou et al., Evaluation of two lattice Boltzmann models for multiphase flows. J. Comput. Phys. 138(2), 695–713 (1997)
X. He, S. Chen, R. Zhang, A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability. J. Comput. Phys. 152(2), 642–663 (1999)
X. He, G.D. Doolen, Thermodynamic foundations of kinetic theory and lattice Boltzmann models for multiphase flows. J. Stat. Phys. 107(1–2), 309–328 (2002)
K.N. Premnath, J. Abraham, Three-dimensional multi-relaxation time (MRT) lattice Boltzmann models for multiphase flow. J. Comput. Phys. 224(2), 539–559 (2007)
A. Kuzmin, A.A. Mohamad, S. Succi, Multi-relaxation time lattice Boltzmann model for multiphase flows. Int. J. Mod. Phys. C 19(06), 875–902 (2008)
S. Gong, P. Cheng, Numerical investigation of droplet motion and coalescence by an improved lattice Boltzmann model for phase transitions and multiphase flows. Comput. Fluids 53, 93–104 (2012)
S. Teng, Y. Chen, H. Ohashi, Lattice Boltzmann simulation of multiphase fluid flows through the total variation diminishing with artificial compression scheme. Int. J. Heat Fluid Flow 21(1), 112–121 (2000)
T. Inamuro, T. Yokoyama, K. Tanaka et al., An improved lattice Boltzmann method for incompressible two-phase flows with large density differences. J. Comput. Phys. 198(2), 628–644 (2004)
H. Gao, B. Liu, Y. Yan, Numerical simulation of bubbles motion in lifting pipe of bubble pump for lithium bromide absorption chillers. Appl. Therm. Eng. 115, 1398–1406 (2017)
T. Inamuro, Lattice Boltzmann methods for viscous fluid flows and for two-phase fluid flows. Fluid Dyn. Res. 38(9), 641–659 (2006)
Acknowledgements
This work was financially supported by National NaturalScience Foundation of China (No. 50976015), Liaoning S&T Project (No. 2010224002), and the Fundamental Research Funds for theCentral Universities (3132019305).
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Gao, H., Ji, X., Hong, J., Song, Y., Yan, Y. (2021). Multi-bubble Coalescence Simulations with Large Density Ratio Using Improved Lattice Boltzmann Method. In: Wen, C., Yan, Y. (eds) Advances in Heat Transfer and Thermal Engineering . Springer, Singapore. https://doi.org/10.1007/978-981-33-4765-6_64
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DOI: https://doi.org/10.1007/978-981-33-4765-6_64
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