IJSTR

International Journal of Scientific & Technology Research

Home About Us Scope Editorial Board Blog/Latest News Contact Us
0.2
2019CiteScore
 
10th percentile
Powered by  Scopus
Scopus coverage:
Nov 2018 to May 2020

CALL FOR PAPERS
AUTHORS
DOWNLOADS
CONTACT

IJSTR >> Volume 9 - Issue 12, December 2020 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Natural Convection Effect On A Wetting Liquid Droplet In Square Cavity By Using The Shan-Chen LBM Model

[Full Text]

 

AUTHOR(S)

Salaheddine CHANNOUF, Mohammed JAMI, Ahmed MEZRHAB

 

KEYWORDS

Lattice Boltzmann method, Shan-Chen LBM model, natural thermal convection, wetting surface, wettability phenomenon.

 

ABSTRACT

The lattice Boltzmann method is used to simulate two-phase flows by using the pseudopotential scheme proposed by Shan-Chen [1,2] which is also called Shan-Chen LBM model. Firstly, our code is tested for the wettability phenomenon of a liquid drop on the solid surface (Huang et al. [3]) and for the natural thermal convection in a square enclosure (Mezrhab et al. [4]), respectively. In the last case, the same value of the fluid densities (single phase) is considered. Results agree well with those of the references, give a good precision of this method and confirm that the proposed model can be reliably used to simulating the multiphase flows and the heat exchange. Secondly, we have studied the interaction between the liquid drop and natural convection inside a differentially heated square cavity by fixing the density of the solid surface and by varying the Rayleigh number from 10³ to 〖10〗^6. Results show that the liquid drop moves under the effect of gas flow caused by the convection and it evaporates by exchanging heat with gas. It will be said that the wettability "spreading of the drop phenomenon" is eliminated under the effect of natural convection and it is thus possible to avoid the deposition of droplets on the solids, this behavior can be very useful in the industry.

 

REFERENCES

[1]. X. Shan and H. Chen, “Lattice boltzmann model for simulating flows with multiple phases and components”, Physical Review E, vol. 47, no. 3, p. 1815, 1993.
[2]. A. Hu, R. Uddin and D. Liu, “Methods of the energy equations in the pseudo-potential lattice Boltzmann model based simulations“, Computers and Fluids, 179 p-645-654, 2019.
[3]. H. Huang, Z. Li, S. Liu, and X.Lu, “Shan-and-chen-type multiphase lattice Boltzmann study of viscous coupling effects for two-phase flow in porous media”, International journal for numerical methods in fluids, vol. 61, no. 3, pp. 341–354, 2009.
[4]. A. Mezrhab, M.A. Moussaoui, M. Jami, H. Naji, and M.H. Bouzidi, “Double MRT thermal lattice Boltzmann method for simulating convective flows”, Physics Letters A, 374(34), pp.3499-3507, 2010.
[5]. R. Su and X. Zhang, “Wettability and surface free energy analyses of monolayer graphene”, Journal of Thermal Science, pp. 1–5, 2018.
[6]. Z. Wang, J. Jin, D. Hou, and S. Lin, “Tailoring surface charge and wetting property for robust oil-fouling mitigation in membrane distillation”, Journal of Membrane Science, vol. 516, pp. 113–122, 2016.
[7]. Y. Wang, M. E. Zaytsev, G. Lajoinie, J. C. Eijkel, A. van den Berg, M. Versluis,B. M. Weckhuysen, X. Zhang, H. J. Zandvliet, D. Lohse, et al., “Giant and explosive plasmonic bubbles by delayed nucleation”, Proceedings of the National Academy of Sciences, vol. 115, no. 30, pp. 7676–7681, 2018.
[8]. J. Yang, Z. Zhang, X. Xu, X. Zhu, X. Men, and X. Zhou, “Superhydrophilic–superoleophobic coatings, Journal of Materials Chemistry”, vol. 22, no. 7, pp. 2834–2837, 2012.
[9]. A. A. Mohamad, “Lattice Boltzmann method: fundamentals and engineering applications with computer codes”, Springer Science and Business Media, 2011.
[10]. YY. Yan , YQ. Zu, “A lattice Boltzmann method for incompressible two-phase flows on partial wetting surface with large density ratio”, Journal of Computational Physics, 763-75, 2007.
[11]. Nie, Deming, J. Lin, L. Qiu, and X. Zhang, “Lattice Boltzmann simulation of multiple bubbles motion under gravity”, In Abstract and Applied Analysis, Hindawi, 2015.
[12]. X. He, S. Chen, and R. Zhang, “A lattice boltzmann scheme for incompressible multiphase flow and its application in simulation of rayleigh–taylor instability”, Journal of Computational Physics, vol. 152, no. 2, pp. 642–663, 1999.
[13]. A. K. Gunstensen and D. H. Rothman, “Lattice-boltzmann studies of immiscible two-phase flow through porous media”, Journal of Geophysical Research: Solid Earth,vol. 98, no. B4, pp. 6431–6441, 1993.
[14]. D. H. Rothman and J. M. Keller, “Immiscible cellular-automaton fluids”, Journal of Statistical Physics 52 no. 3-4 (1988) 1119-1127.
[15]. T. Inamuro, T. Ogata, S. Tajima, and N. Konishi, “A lattice boltzmann method for incompressible two-phase flows with large density differences”, Journal of Computational physics, vol. 198, no. 2, pp. 628–644, 2004.
[16]. M. R. Swift, W. Osborn, and J. Yeomans, “Lattice boltzmann simulation of nonideal fluids”, Physical review letters, vol. 75, no. 5, p. 830, 1995.
[17]. P. Yong, Y. F. Mao, B. Wang, and B. Xie, “Study on C–S and P–R EOS in pseudopotential lattice Boltzmann model for two-phase flows”, International Journal of Modern Physics C 28, no. 09 pp-1750120, 2017.
[18]. Redlich, Otto, and Joseph NS Kwong, “On the thermodynamics of solutions”, An equation of state. Fugacities of gaseous solutions, Chemical reviews 44, no. 1 pp.233-244, 1949.
[19]. Y. H. Qian, D. d’Humières, and P. Lallemand, “Lattice BGK models for Navier-Stokes equation”, EPL (Europhysics Letters) 17, no. 6 pp-479, 1992.
[20]. P. Yuan and L. Schaefer, “Equations of state in a lattice boltzmann model”, Physics of Fluids, vol. 18, no. 4, p. 042101, 2006.
[21]. I. Ginzbourg and P. Adler, “Boundary flow condition analysis for the threedimensional lattice boltzmann model”, Journal de Physique II, vol. 4, no. 2, pp. 191–214, 1994.
[22]. Y.Yuan and T. R. Lee, “Contact angle and wetting properties, Surface science techniques”,(Springer), Berlin, Heidelberg, 3-34, 2013.
[23]. S. Sebastian and Jens, “Contact angle determination in multicomponent lattice Boltzmann simulations”, Communications in computational physics 9, United Kingdom, p. 1165-1178, 2011.
[24]. H. N. Dixit et V. Babu, “Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method”, International journal of heat and mass transfer, 2006, vol. 49, no 3-4, p. 727-739.
[25]. M. Jami, F. Moufekir, A. Mezrhab et al., “New thermal MRT lattice Boltzmann method for simulations of convective flows”, International Journal of Thermal Sciences, 2016, vol. 100, p. 98-107.
[26]. Q. Li, Q. J. Kang, M. Marianne Francois et al., “Lattice Boltzmann modeling of boiling heat transfer: The boiling curve and the effects of wettability”, International Journal of Heat and Mass Transfer, vol. 85, p. 787-796, 2015.
[27]. S. Zheng, F. Eimann et al., “Numerical study of the effect of forced convective flow on dropwise condensation by thermal LBM simulation”, MATEC Web of Conferences. EDP Sciences, p. 01040, 2018.
[28]. D. N. Pawar, R. S. Kale, S. S. Bahga et al., “Study of Microdroplet Growth on Homogeneous and Patterned Surfaces Using Lattice Boltzmann Modeling”, Journal of Heat Transfer, 2019, vol. 141, no 6.
[29]. Ziegler, P. Donald, “Boundary conditions for lattice Boltzmann simulations”, Journal of Statistical Physics 71, no. 5-6, pp.1171-1177, 1993.
[30]. L. Li, M. Renwei and F. K. James, “Boundary conditions for thermal lattice Boltzmann equation method”, Journal of Computational Physics 237, pp-366-395, 2013.
[31]. G. de Vahl Davis, “Natural convection of air in a square cavity: a bench mark numerical solution”, International Journal for numerical methods in fluids 3, no. 3, pp-249-264. 1983.
[32]. C. Shu, Y. Peng and Y. T. Chew, “Simulation of natural convection in a square cavity by Taylor series expansion-and least squares-based lattice Boltzmann method”, International Journal of Modern Physics C 13, no. 10, pp-1399-1414, 2002.
[33]. Z. Guo, B. Shi and C. Zheng, “A coupled lattice BGK model for the Boussinesq equations”, International Journal for Numerical Methods in Fluids, 39(4), pp-325-342, 2002.
[34]. F. Kuznik, J. Vareilles, G.Rusaouen and G. Krauss, “A double-population lattice Boltzmann method with non-uniform mesh for the simulation of natural convection in a square cavity”, International Journal of Heat and Fluid Flow, 28(5), pp-862-870, 2007.
[35]. C. Chiwoong and K. Moohwan, “Wettability Effects on Heat Transfer Two Phase Flow, Phase Change and Numerical Modeling”, ISBN 978-953-307-584-6, Hard cover, 584 pages, September, 2011