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Lattice Boltzmann Simulation of Nucleate Pool Boiling in Saturated Liquid

Published online by Cambridge University Press:  20 August 2015

Yoshito Tanaka ,
Masato Yoshino  and
Tetsuo Hirata
Yoshito Tanaka*
Affiliation:
Department of Mathematics and System Development Engineering, Interdisciplinary Graduate School of Science and Technology, Shinshu University, 4-17-1, Wakasato, Nagano-shi, Nagano 380-8553, Japan
Masato Yoshino*
Affiliation:
Department of Mechanical Systems Engineering, Faculty of Engineering, Shinshu University, Nagano-shi, Nagano 380-8553, Japan CREST, Japan Science and Technology Agency, 4-1-8, Honcho, Kawaguchi-shi, Saitama 332-0012, Japan
Tetsuo Hirata*
Affiliation:
Department of Mechanical Systems Engineering, Faculty of Engineering, Shinshu University, Nagano-shi, Nagano 380-8553, Japan
*
Email:[email protected]
Corresponding author.Email:[email protected]
Email:[email protected]
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Abstract

A thermal lattice Boltzmann method (LBM) for two-phase fluid flows in nucleate pool boiling process is proposed. In the present method, a new function for heat transfer is introduced to the isothermal LBM for two-phase immiscible fluids with large density differences. The calculated temperature is substituted into the pressure tensor, which is used for the calculation of an order parameter representing two phases so that bubbles can be formed by nucleate boiling. By using this method, two-dimensional simulations of nucleate pool boiling by a heat source on a solid wall are carried out with the boundary condition for a constant heat flux. The flow characteristics and temperature distribution in the nucleate pool boiling process are obtained. It is seen that a bubble nucleation is formed at first and then the bubble grows and leaves the wall, finally going up with deformation by the buoyant effect. In addition, the effects of the gravity and the surface wettability on the bubble diameter at departure are numerically investigated. The calculated results are in qualitative agreement with other theoretical predictions with available experimental data.

Keywords

76T1076M2880A22Lattice Boltzmann method (LBM)two-phase fluid flowsheat transfernucleate pool boilingwettability
Type
Research Article
Information
Communications in Computational Physics , Volume 9 , Issue 5 , May 2011 , pp. 1347 - 1361
Copyright
Copyright © Global Science Press Limited 2011

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References

[1]Mei, R., Chen, W. and Klausner, J. F., Vapor bubble growth in heterogeneous boiling-I, formulation, Int. J. Heat. Mass. Trans., 38 (1995), 909–919.Google Scholar
[2]Dhir, V. H., Numerical simulations of pool-boiling heat transfer, AIChE J., 47 (2001), 813–834.Google Scholar
[3]Pioro, I. L., Rohsenow, W. and Doerffer, S. S., Nucleate pool-boiling heat transfer-I: review of parametric effects of boiling surface, Int. J. Heat . Mass. Trans., 47 (2004), 5033–5044.Google Scholar
[4]Kim, J. and Kim, M. H., On the departure behaviors of bubble at nucleate pool boiling, Int. J. Multiphase. Flow., 32 (2006), 1269–1286.CrossRefGoogle Scholar
[5]Kunugi, T., Saito, N., Fujita, T. and Serizawa, A., Direct numerical simulation of pool and forced convective flow boiling phenomena, Proc. 12th Int. Heat. Trans. Conf., (2002), 497– 502.Google Scholar
[6]Kunugi, T., MARS for multiphase calculation, Comput. Fluid. Dyn. J., 9 (2001), 563–571.Google Scholar
[7]Mukherjee, A. and Kandlikar, S. G., Numerical study of single bubbles with dynamic contact angle during nucleate pool boiling, Int. J. Heat. Mass. Trans., 50 (2007), 127–138.Google Scholar
[8]Mukherjee, A. and Diher, V. K., Study of lateral merger of vapor bubbles during nucleate pool boiling, J. Heat. Trans., 126 (2004), 1023–1039.CrossRefGoogle Scholar
[9]Ohnaka, I., Introduction to Computational Analysis of Heat Transfer and Solidification-Application to the Casting Processes, Maruzen, 1985.Google Scholar
[10]Takada, N. and Tomiyama, A., Interface-tracking simulation of two-phase flows by phase-field method, ASME Joint U.S.-European Fluids Eng. Summer Meeting, (2006), Paper No. FEDSM2006-98536.Google Scholar
[11]Seta, T. and Okui, K., The single component thermal lattice Boltzmann simulation of pool boiling in two dimensions, J. Therm. Sci. Technol., 1 (2006), 125–137.Google Scholar
[12]Chen, S. and Doolen, G. D., Lattice Boltzmann method for fluid flows, Annu. Rev. Fluid. Mech., 30 (1998), 329–364.Google Scholar
[13]Succi, S., The Lattice Boltzmann Equation for Fluid Dynamics and Beyond, Oxford University Press, Oxford, 2001.Google Scholar
[14]Hazi, G. and Markus, A., On the bubble departure diameter and release frequency based on numerical simulation results, Int. J. Heat. Mass. Trans., 52 (2009), 1472–1480.Google Scholar
[15]Gunstensen, A. K., Rothman, D. H., Zaleski, S. and Zanetti, G., Lattice Boltzmann model of immiscible fluids, Phys. Rev. A., 43 (1991), 4320–4327.Google Scholar
[16]Shan, X. and Chen, H., Lattice Boltzmann model for simulating flows with multiple phases and components, Phys. Rev. E., 47 (1993), 1815–1819.Google Scholar
[17]Swift, M. R., Osborn, W. R. and Yeomans, J. M., Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett., 75 (1995), 830–833.Google Scholar
[18]He, X., Chen, S. and Zhang, R., A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability, J. Comput. Phys., 152 (1999), 642–663.Google Scholar
[19]Inamuro, T., Ogata, T., Tajima, S. and Konishi, N., A lattice Boltzmann method for incompressible two-phase flows with large density differences, J. Comput. Phys., 198 (2004), 628–644.CrossRefGoogle Scholar
[20]Rowlinson, J. S. and Widom, B., Molecular Theory of Capillarity, Clarendon Press, 1989.Google Scholar
[21]Sone, Y., Asymptotic theory of flow of rarefied gas over a smooth boundary II, in Rarefied Gas Dynamics, ed. D. Dini, (Editrice Tecnico Scientifica, Pisa), 2 (1971), 737–749.Google Scholar
[22]Inamuro, T., Lattice Boltzmann methods for viscous fluid flows and for two-phase fluid flows, Fluid. Dyn. Res., 38 (2006), 641–659.Google Scholar
[23]Briant, A. J., Papatzacos, P. and Yeomans, J. M., Lattice Boltzmann simulations of contact line motion in a liquid-gas system, Philos. Trans. R. Soc. Lond. A., 360 (2002), 485–495.CrossRefGoogle Scholar
[24]Briant, A. J., Wagner, A. J. and Yeomans, J. M., Lattice Boltzmann simulations of contact line motion-I, liquid-gas systems, Phys. Rev. E., 69 (2004), 031602.Google Scholar
[25]Cahn, J. W., Critical point wetting, J. Chem. Phys., 66 (1977), 3667–3672.CrossRefGoogle Scholar
[26]Bhaga, D. and Weber, M. E., Bubbles in viscous liquid: shapes, wakes and velocities, J. Fluid. Mech., 105 (1981), 61–85.CrossRefGoogle Scholar
[27]Inamuro, T., Yoshino, M., Inoue, H., Mizuno, R. and Ogino, F., A lattice Boltzmann method for a binary miscible fluid mixture and its application to a heat-transfer problem, J. Comput. Phys., 179 (2002), 201–215.Google Scholar
[28]Fritz, W., Berechnung des maximalvolumens von dampfdampfblasen, Phys. Z., 36 (1935), 379–384.Google Scholar