SIMULATION OF NATURAL CONVECTION HEAT TRANSFER IN AN ENCLOSURE USING LATTICE BOLTZMANN METHOD

Authors

  • Nor Azwadi Che Sidik Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor
  • Rosdzimin Rosdzimin Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor
  • A.R.M. A.R.M. Faculty of Mechanical Engineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor

Keywords:

Lattice Boltzmann, natural convection, internal energy distribution function

Abstract

In this paper, the thermal lattice Boltzmann method (LBM), a numerical tool based on particle distribution function is used to simulate steady state thermal fluid flow problems and compared with the established CFD tools; FLUENT. At low Rayleigh number simulation, D2Q9 lattice model was coupled with the simplest D2Q4 lattice model to represent density and internal energy density distribution function respectively. While at high Rayleigh number simulation, D2Q9 lattice model was used for both density and internal energy distribution functions. Simulation of natural convection of air in a rectangular enclosure with localized heating from below and symmetrical cooling from the sides was carried out. The paper demonstrates that the lattice Boltzmann model is a promising simulation tool for the simulation of natural convection heat transfer phenomena within a wide range of Rayleigh number values.

References

Bernsdorf, J., Brenner, G. and Durst, F., 2000. Numerical analysis of the pressure drop in porous media flow eith lattice Boltzmann (BGK) automata, Comp. Phys. Comm., 129, 247-255.

Chen, S., Martinez, D. and Mattaeus, W.H., 1994. Lattice Boltzmann magnetohydrodynamics, Phys. of Plasmas, 1 1850-1860.

Azwadi, C.S. and Tanahashi, T., 2006. Simplified Thermal Lattice Boltzmann Model in Incompressible Limit, Proc. Asean Cong. Fluid Mech., 11, 275-280.

Martys, N.S. and Chen, H., 1996. Simulation of multicomponent fluids in complex three dimensional geometries by the lattice Boltzmann method, Phys. Rev. A, 53, 743-750.

Frish, U., Hasslacher, B. and Pomeau, Y., 1986. Lattice Gas Automata for the Navier-Stokes equation, Phys. Rev. Lett., 56, 1505-1509.

McNamara, G. and Alder, B., 1993. Analysis of the lattice Boltzmann treatment of hydrodynamic, Phys. A, 194, 218-228.

Shan, X., 1997. Simulation of Rayleigh Bernard convection using a Lattice Boltzmann method, Phys. Rev. E, 55, 2780-2788.

He, X., Chen, S. and Doolen, G.D., 1998. A novel thermal model for the lattice Boltzmann method in incompressible limit, J. Comp. Phys., 146, 282-300.

Peng, Y., Shu, C. and Chew, Y.T., 2003. Simplified thermal lattice Boltzmann model for incompressible thermal flow, Phys. Rev. E, 68, (2003) 020671/1-020671/8.

Azwadi, C.S. and Takahiko, T., 2006. Simplified Thermal Lattice Boltzmann in Incompressible Limit, Intl. J. Mod. Phys. B, 20, 2437-2449.

Onishi, J., Chen, Y. and Ohashi, H., 2001. Lattice Boltzmann Simulation of natural convection in a square cavity, JSME Intl. J. Ser. B, 44, 53-62.

Luo, L.S. and He, X., 1997. A priori derivation of the lattice Boltzmann equation, Phys. Rev. E, 55, R6333-R6336.

Bhatnagar, P.L., Gross, E.P. and Krook, M., 1954. A model for collision process in gasses 1, small amplitude process in charged and neutral one component system, Phys. Rev., 94, 511-525.

Azwadi, C.S. and Takahiko, T., 2007. Three dimensional Thermal lattice Boltzmann simulation of natural convection in a cubic cavity, Intl. J. Mod. Phys. B, 21, 87-96.

Luo, L.S. and He, X., 1997. Lattice Boltzmann model for the incompressible Navier Stokes equation, J. Stat. Phys., 88, 927-944.

Aydin, O. and Yang, W.J., 2000. Mixed convection in cavities with a locally heated lower wall and moving sidewalls, Num. Heat. Trans., 37, 695-710.

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Published

2018-04-05

How to Cite

Che Sidik, N. A., Rosdzimin, R., & A.R.M., A. (2018). SIMULATION OF NATURAL CONVECTION HEAT TRANSFER IN AN ENCLOSURE USING LATTICE BOLTZMANN METHOD. Jurnal Mekanikal, 27(2). Retrieved from https://jurnalmekanikal.utm.my/index.php/jurnalmekanikal/article/view/129

Issue

Section

Mechanical

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