Commun. Comput. Phys., 9 (2011), pp. 1347-1361.


Lattice Boltzmann Simulation of Nucleate Pool Boiling in Saturated Liquid

Yoshito Tanaka 1, Masato Yoshino 2*, Tetsuo Hirata 3

1 Department of Mathematics and System Development Engineerin Interdisciplinary Graduate School of Science and Technology, Shinshu University, 4-17-1, Wakasato, Nagano-shi, Nagano 380-8553, Japan.
2 Department of Mechanical Systems Engineering, Faculty of Engineering, Shinshu University, Nagano-shi, Nagano 380-8553, Japan; and CREST, Japan Science and Technology Agency, 4-1-8, Honcho, Kawaguchi-shi, Saitama 332-0012, Japan.
3 Department of Mechanical Systems Engineering, Faculty of Engineering, Shinshu University, Nagano-shi, Nagano 380-8553, Japan.

Received 14 November 2009; Accepted (in revised version) 16 December 2010
Available online 18 February 2011
doi:10.4208/cicp.141109.161210s

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.

AMS subject classifications: 76T10, 76M28, 80A22

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Key words: Lattice Boltzmann method (LBM), two-phase fluid flows, heat transfer, nucleate pool boiling, wettability.

*Corresponding author.
Email: s07t254@shinshu-u.ac.jp (Y. Tanaka), masato@shinshu-u.ac.jp (M. Yoshino), hirata@shinshu-u.ac.jp (T. Hirata)
 

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