Natural Convection in a Square Cavity Using Lattice Boltzmann Method for numbers Riley less than 10^6
Natural Convection in a Square Cavity Using Lattice Boltzmann Method for numbers Riley less than 10^6
Abstract. Since the phenomenon of free convection in a closed container, have a lot of engineering applications.The heat transfer in solar collectors, Equipment designed for cooling, heat transfer in double-glazed windows and applications of this branch of engineering optimization problems.therefore for The analysis easier and more practical for such applications in this paper, the cavity is filled up with air and water would have to rely on Lattice Boltzmann Method simulation. Results for the basis fluid, air and water are provided. In this paper, the Pacific and the four Rayleigh number (Ra =10^3, 10^4,10^ 5, 10 ^ 6) is presented.Single-phase method was used to solve this fluid flow.The main objective of the present study is demonstrate the ability of Lattice Boltzmann Method for solving fluid flow in the long cavity.Lattice Boltzmann results with previous work has been validated.This results have a good agreement with the results of earlier studies.Boundary conditions in the shield to wall upper and lower is adiabatic,and wall of the left and right is temperature constant.
___
- Refai, A. G., Yovanovich, M. M.; “Influence of Discrete Heat Source Location on Natural Convection Heat Transfer in a Vertical Square Enclosure”; Journal of Electronic Packaging, Vol. 113, No. 3, 1991, pp. 268-274.
- Nelson, J.E.B., Balakrishnan, A.R., Murthy, S.S.; “Experiments on stratified chilled water tanks”; Int. J. Refrig., Vol. 22 (3), 1999, pp.216-234.
- Oliveski, R.D.C., Krenzinger, A., Vielmo, H.A.; “Cooling of cylindrical vertical tank submitted to natural internal convection”; Int. J. Heat Mass Transfer, Vol.46 (11), 2003, pp. 2015-2026.
- Mohamad, A.A., El-Ganaoui, M., Bennacer, R.; “Lattice Boltzmann simulation of natural convection in an open ended cavity”; International Journal Thermal Sciences, Vol.48, 2009, pp.1870-1875.
- B. C. Pak and Y. I. Cho, Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles, Experimental Heat Transfer 11 (1998) 151–170
- K. Khanafer, K. Vafai, M. Lightstone, Buoyancy-driven heat transfer enhancement in a two-dimensional enclosure utilizing nanofluids, International Journal of Heat and Mass Transfer 46 (2003) 3639–3653.
- H. Nemati, M. Farhadi, K. Sedighi, E. Fattahi, A.A.R. Darzi, Lattice Boltzmann simulation of nanofluid in lid-driven cavity, International Communications in Heat and Mass Transfer (2010).
- Hardy J, de Pazzis O, Pomeau Y. 1976. Molecular dynamics of a classical lattice gas: transport properties and time correlation functions. Phys. Rev. A 13:1949–61
- Qian YH, 1990, Lattice gas and lattice kinetic theory applied to the Navier-Stokes equation ,Phd thesis, University Pierre et Marie Curie, Paris
- Chen S, Chen HD, Martinez D, Matthaeus W. 1991. Lattice Boltzmann model for simulation of magnetohydrodynamics. Phys Rev. Lett. 67:3776–79
- Bhatnagar PL, Gross EP, Krook M. 1954, A model for collision processes in gases, I. small amplitude processes in charged and neutralone-com ponent system. Phys Rev; 94:511–25.
- Bhatnagar PL, Gross EP, Krook M. 1954, A model for collision processes in gases, I. small amplitude processes in charged and neutralone-com ponent system. Phys Rev; 94:511–25.
- Hoshmand, B.1386. Numerical lattice Boltzmann method in two-component fluid flow analysis. MA thesis. Tabriz University.(in Persian)
- M.A. Mussa, S. Abdullah, C.S. Nor Azwadi, N. Muhamad, Simulation of natural convection heat transfer in an enclosure by the lattice-Boltzmann method, Computers & Fluids 44 (2011) 162–168
- A.A. Mohamad , A. Kuzmin, A critical evaluation of force term in lattice Boltzmann method, natural convection problem, International Journal of Heat and Mass Transfer 53 (2010) 990–996.
- Markatos, N. C., Perıcleous , K. A.;” Lamınar And Turbulent Natural Convectıon In An Enclosed Cavıty”; Phys. Rev. A, Vol. 27. No. 5, Pp. 755-772. 1984