Abstract
A lattice Boltzmann model is developed for investigating the heat conduction process inside the three-dimensional random porous media. Combined with the algorithm for the reconstruction of the three-dimensional porous media, this model is used to investigate the transient heat conduction process inside the porous wick of CPLs/LHPs, which is vital for analyzing the startup stability of a CPL/LHP. The temperature distribution inside the porous wick is obtained and the influence of the porosity and the heat load on the conduction process also is investigated using the present model. The present model is applicable to predicting the effective conductivity of such a complex structure.
Similar content being viewed by others
References
Theodore D S. NASA thermal control technologies for robotic spacecraft. Appl Therm Eng, 2003, 23(9): 1055–1065
Yu F M. Review loop heat pipes. Appl Therm Eng, 2005, 25(2): 635–657
Cao Y, Faghri A. Analytical solutions of flow and heat transferin a porous structure with partial heating and evaporation on the upper surface. Int J Heat Mass Transf, 1994, 36(10): 1525–1533
Cao Y, Faghri A. Conjugate analysis of a flat-plate type evaporator for capillary pumped loop with three-dimensional vapor flow in the groove. Int J Heat Mass Transf, 1994, 37(3): 401–409
Tarik K, John G. Numerical analysis of heat and mass transfer in the capillary structure of a loop heat pipe. Int J Heat Mass Transf, 2006, 49(17–18): 3211–3220
Chuan R, Wu Q S, Hu M B. Heat transfer with flow and evaporation in loop heat pipe’s wick at low or moderate heat fluxes. Int J Heat Mass Transf, 2007, 50(11–12): 2296–2308
Khrustalev D, Faghri A. Heat transfer in the inverted meniscus type evaporator at high heat fluxes. Int J Heat Mass Transf, 1995, 38(16): 3091–3101
Zhao T S, Liao Q. On capillary-driven flow and phase-change heat transfer in a porous structure heated by a finned surface: measurements and modeling. Int J Heat Mass Transf, 2000, 43(7): 1141–1155
Huang X M, Liu W, Nakayama A, et al. Modeling for heat and mass transfer with phase change in porous wick of CPL evaporator. Heat Mass Transfer, 2005, 41(7): 667–673
Figus C, Le Bray Y, Bories S, et al. Heat and mass transfer with phase change in a porous structure partially heated: continuum model and pore network simulations. Int J Heat Mass Transf, 1999, 42(14): 2557–2569
Benzi R, Succi S, Vergassola M. The lattice-Boltzmann equation: theory and applications. Phys Report, 1992, 222(3): 145–197
Qian Y, Succi S, Orszag S. Resent advances in lattice Boltzmann computing. Annu Rev Comp Phys, 1995, 39(11): 195–242
Chen S, Doolen G. Lattice Boltzmann method for fluid flows. Annu Rev Fluid Mech, 1998, 30(1): 329–364
Pan C, Hilpert M, Miller C T. Lattice-Boltzmann simulation of two-phase flow in porous media. Water Resour Res, 2004, 40(1): 1–14
Pan C, Prins J F, Miller C T. A high-performance lattice Boltzmann implementation to model flow in porous media. Comput Phys Commun, 2004, 158(2): 89–105
Orazio A D, Succi S, Arrighetti C. Lattice Boltzmann simulation of open flows with heat transfer. Phys Fluids, 2003, 15(9): 2778–2781
He X, Chen S, Doolen G. A novel thermal model for the lattice Boltzmann method in incompressible limit. J Comput Phys, 1998, 146(1): 282–300
Toffoli T, Margolus N. Invertible cellular automata: A review. Physica D, 1990, 45(1–3): 229–253
Guo Z L, Zheng C G., Li Q, et al. Lattice Boltzmann Method For Hydrodynamics (in Chinese). Hubei: Technology Press, 2002. 111–125
Kang Q J, Zhang D X, Lichtner P C, et al. Lattice Boltzmann model for crystal growth from supersaturated solution. Geophys Res Lett, 2004, 31(21): L21604
Wang J, Wang M, Li Z. A lattice Boltzmann algorithm for fluid-solid conjugate heat transfer. Int J Therm Sci, 2007, 46(3): 228–234
D’Orazio A, Corcione M, Celata G P. Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition. Int J Therm Sci, 2004, 43(6): 575–586
Guo Z L, Shi B C, Zheng C G. A coupled lattice BGK model for Boussinesq equations. Int J Numer Methods Fluids, 2002, 39(4): 325–342
Zhao K, Li Q, Xuan Y M. A reconstruction technique for three dimensional porous media from 2D image. In: The 2007 Asian Symposium of Computational Heat Transfer and Fluid Flow. Xi’an, 2007
Wang M, Chen S Y. Electroosmosis in homogeneously charger micro and nanoscale random porous media. J Colloid Interf Sci, 2007, 314(1): 264–273
Chen X, Han P. A note on the solution of conjugate heat transfer problems using SIMPLE-like algorithms. Int J Heat Fluid Flow, 2000, 21(4): 463–467
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by the National Natural Science Foundation of China (Grant No. 50576038), and Program for New Century Excellent Talents in University
Rights and permissions
About this article
Cite this article
Zhao, K., Li, Q. & Xuan, Y. Investigation on the three-dimensional multiphase conjugate conduction problem inside porous wick with the lattice Boltzmann method. Sci. China Ser. E-Technol. Sci. 52, 2973–2980 (2009). https://doi.org/10.1007/s11431-009-0103-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11431-009-0103-7