In this work we used the LBM to model the turbulent flow in a local filled by air, of side H, and heated from below θh. One of the vertical walls has a cold portion of temperature θc. The other walls are adiabatic. The calculations were performed in two 2D for Ra=108 and Ra=1.5×108 and for different size ratio of the heat source Lr = ℓ/H. The results are presented in the form of streamlines, isotherms, temperature evolution and average Nusselt number.

Topics
Heat transfer, Fluid mechanics, Turbulent flows
1.
G. De Vahl
 
Davis
,
Natural convection of air in a square cavity: a benchmark numerical solution
,
Int. J. Numer. Meth. Fluids
 
3
 
249
–
264
(
1983
).
https://doi.org/10.1002/fld.1650030305
Google Scholar
Crossref
Search ADS
 
2.
P.
 
Le Quere
,
Accurate solutions to the square thermally driven cavity at high Rayleigh number, Comput
.
Fluids
 
20
 
29
–
41
(
1991
).
Google Scholar
 
3.
Succi
,
S.
 (
2001
),
the Lattice Boltzmann Equation for Fluid Dynamics and Beyond
,
Oxford University Press
,
Oxford
.
Google Scholar
 
4.
Chen
,
S.
 and
Doolen
,
G.
 (
1998
),
“Lattice Boltzmann method for fluid flows
”,
Annual Review of Fluid Mechanics
, Vol.
30
, pp.
329
–
364
.
https://doi.org/10.1146/annurev.fluid.30.1.329
Google Scholar
Crossref
Search ADS
 
5.
Yu
,
D.
,
Mei
,
R.
,
Luo
,
L.S.
 and
Shyy
,
W.
 (
2003
),
“Viscous flow computations with the method of lattice Boltzmann equation
”,
Progress in Aerospace Science
, Vol.
39
, pp.
329
–
367
.
https://doi.org/10.1016/S0376-0421(03)00003-4
Google Scholar
Crossref
Search ADS
 
6.
Ahad
 
Zarghami
,
Stefano
 
Ubertini
,
Sauro
 
Succi
,
Finite volume formulation of thermal lattice Boltzmann method
,
International Journal of Numerical Methods for Heat & Fluid Flow
, Volume:
24
Issue:
2
,
2014
.
https://doi.org/10.1108/HFF-11-2011-0234
Google Scholar
 
7.
Y.
 
Guo
,
R.
 
Bennacer
,
S.
 
Shen
,
D.E.
 
Ameziani
,
M.
 
Bouzidi
,
Simulation of mixed convection in slender rectangular cavity with lattice Boltzmann method
,
International Journal of Numerical Methods for Heat & Fluid Flow
, Volume:
20
Issue:
1
,
2010
.
https://doi.org/10.1108/09615531011008163
Google Scholar
 
8.
Gaojie
 
Liu
,
Zhaoli
 
Guo
,
Effects of Prandtl number on mixing process in miscible Rayleigh-Taylor instability: A lattice Boltzmann study
,
International Journal of Numerical Methods for Heat & Fluid Flow
, Volume:
23
Issue:
1
,
2013
.
https://doi.org/10.1108/09615531311289178
Google Scholar
 
9.
A. A.
 
Mohamad
,
Applied Lattice Boltzmann Method for Transport Phenomena, Momentum, Heat and Mass Transfer, Sure Print, Calgary
,
2007
.
Google Scholar
 
10.
H.N.
 
Dixit
,
V.
 
Babu
,
Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method
,
International Journal of Heat and Mass Transfer
 
49
(
2006
)
727
–
739
.
https://doi.org/10.1016/j.ijheatmasstransfer.2005.07.046
Google Scholar
Crossref
Search ADS
 
11.
N.
 
Abouricha
,
M.
 
El Alami
,
M.
 
Kriraa
,
K.
 
Souhar
,
Lattice Boltzmann Method for Natural Convection Flows in a Large-scale Cavity Heated from Below
.
American Journal of Heat and Mass Transfer
(
2017
) Vol.
4
No.
2
pp.
121
–
135
. 16.
Google Scholar
 
12.
N.
Abouricha
,
M.
 
El Alami
,
K.
 
Souhar
,
4th International Renewable and Sustainable Energy Conference IRSEC'
 
2016
.
13.
Bhatnagar
,
P.
,
Gross
,
E.
 
et Krook
,
M.
 (
1954
).
A model for collision processes in gases. I. small amplitude processes in charged and neutral one-component systems
.
Physical Review
, vol.
94
, pp.
511
–
525
.
https://doi.org/10.1103/PhysRev.94.511
Google Scholar
Crossref
Search ADS
 
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