Lattice Boltzmann Simulation on Natural Convection Heat Transfer for Phase-Change with Heterogeneously Porous Medium

Abstract:

The problem of the natural convection heat transfer for phase-change in a square filled with heterogeneously porous medium is solved by lattice Boltzmann method. The lattice Boltzmann equation is governed by the heat conduction equation combined with enthalpy formation. The velocity of liquid part is fully coupled with the temperature distribution through relaxation time. It is found that the high Ra number has significantly impact on the heat transfer and convection, but the low Ra number has little influence on the natural convection. The porosity of the middle porous medium is nothing to do with the heat transfer and convection. The result is of great importance to engineering interest and also provides a new solution to phase transition.

• Periodical: Advanced Materials Research (Volume 322)
• Pages: 61-67
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.322.61
• Online since: August 2011
• Authors: Jiu Gu Shao, Yang Liu, You Sheng Xu
• Keywords: Heat Transfer, LBM, Phase-Change, Variable Porous Medium

References

[1] S.F. Lu, J.W. Xing, Z.H. Zhang and G.P. Jia: Polymer Materials Science Engineering Vol. 26 (2010), p.39, in Chinese.

[2] Y.Y. Wei, F.F. Wang and C.Z. Zong: Polymer Materials Science Engineering Vol. 26 (2010), p.125, in Chinese.

[3] H.F. Liang, Y.C. Song and Y.J. Chen: Energy Conversion and Management Vol. 51(2010), p.1883.

[4] G.G. Tsypkin: Fluid Dynamics. Vol. 42(2007), p.798.

[5] C.Y. Sun and G.J. Chen: Fluid Phase Equilibria Vol. 242(2006), p.123.

[6] Y. Liu, M. Strumendo and H. Arastoopour: Industrial and Engineering Chemistry Research Vol. 48(2009), p.2451.

[7] W.W. Yan, Y. Liu, Z. L. Guo and Y. S. Xu: International Journal of Modern Physics C Vol. 17 (2006), p.771.

[8] Y.L. He, Y. Wang and Q. Li: The Theory and Applications of Lattice Boltzmann(Science Press, Beijing 2008), in Chinese.

[9] X.W. Shan, and H.D. Chen: Physics Review E Vol. 47 (1993), p.1815.

[10] Z. L. Guo and C. G. Zhen: The Principles and Applications of Lattice Boltzmann(Science Press, Beijing 2009), in Chinese.

[11] S. Succi: The Lattice Boltzmann Equation for Fluid Dynamics and Beyond(Oxford University Press, USA 2001).

[12] D. Wolf-Gladrow: Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction(Springer-Verlag, 2000).

DOI: 10.1007/978-3-540-46586-7_3

[13] W. Gladrow: Journal of Statistical Physics Vol. 79 (1995), p.1023.

[14] G. D. fabritiis, A. Mancini, D. Mansutti and S. Succi: International Journal of Modern Physics C Vol. 9 (1998) p.1405.

[15] W.S. Jiaung, J.R. Ho and C.P. Kuo: Numerical Heat Transfer B Vol. 39 (2001), p.167.

[16] X. Li, Y. Liu, Y.S. Xu et.al: Theoretical & Applied Mechanics Letters Vol. 1(2011), P. 022003.