Simulation of natural convection heat transfer in an enclosure by the lattice-Boltzmann method

This paper presents the simulation of natural heat convection in an enclosure using Cubic-Interpolated-Pseudo-Particle (CIP) lattice-Boltzmann method. A D2Q9 lattice model was coupled with the simplest D2Q4 lattice model to represent density and internal energy distribution function, respectively. The effects of the Rayleigh number on the flow pattern were studied. The enclosure is filled with air heated by a small localized source of heat at two different positions on the bottom wall. The results explain the mechanism of natural convection rate increasing due to the Rayleigh number and heat source position changing. The comparison of the results was in excellent agreement with results from the literature.

[1]  Xiaowen Shan,et al.  SIMULATION OF RAYLEIGH-BENARD CONVECTION USING A LATTICE BOLTZMANN METHOD , 1997 .

[2]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[3]  B. Alder,et al.  Analysis of the lattice Boltzmann treatment of hydrodynamics , 1993 .

[4]  Simplified thermal lattice Boltzmann in incompressible limit , 2006 .

[5]  Shiyi Chen,et al.  A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit , 1998 .

[6]  F. Corvaro,et al.  A numerical and experimental analysis on the natural convective heat transfer of a small heating strip located on the floor of a square cavity , 2008 .

[7]  Nor Azwadi Che Sidik,et al.  SIMULATION OF NATURAL CONVECTION HEAT TRANSFER IN AN ENCLOSURE USING LATTICE BOLTZMANN METHOD , 2008 .

[8]  Frisch,et al.  Lattice gas automata for the Navier-Stokes equations. a new approach to hydrodynamics and turbulence , 1989 .

[9]  THREE-DIMENSIONAL THERMAL LATTICE BOLTZMANN SIMULATION OF NATURAL CONVECTION IN A CUBIC CAVITY , 2007 .

[10]  C. Shu,et al.  Simplified thermal lattice Boltzmann model for incompressible thermal flows. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[12]  L. Luo,et al.  Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation , 1997 .

[13]  Y. Pomeau,et al.  Lattice-gas automata for the Navier-Stokes equation. , 1986, Physical review letters.