Lattice Boltzmann simulation of natural convection with temperature-dependent viscosity in a porous cavity

2005 ◽  
Vol 5 (1/2) ◽  
pp. 110 ◽  
Author(s):  
Zhaoli Guo ◽  
T.S. Zhao
Keyword(s):  
Natural Convection ◽  
Lattice Boltzmann ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Porous Cavity ◽  
Lattice Boltzmann Simulation ◽  
Dependent Viscosity

scholarly journals Effect of thermal radiation on natural convection in a square porous cavity filled with a fluid of temperature-dependent viscosity

2018 ◽  
Vol 22 (1 Part B) ◽  
pp. 391-399 ◽  
Author(s):  
Marina Astanina ◽  
Mikhail Sheremet ◽  
Jawali Umavathi
Keyword(s):  
Natural Convection ◽  
Thermal Radiation ◽  
Numerical Study ◽  
Darcy Number ◽  
Radiation Parameter ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Porous Cavity ◽  
Different Temperatures ◽  
Dependent Viscosity

A numerical study of the natural convection combined with thermal radiation inside a square porous cavity filled with a fluid of temperature-dependent viscosity is carried out. The side horizontal walls are assumed to be adiabatic while both the left and right vertical walls are kept at constant but different temperatures. The Rosseland diffusion approximation is used to describe the radiative heat flux in the energy equation. The governing equations formulated in dimensionless stream function, vorticity, and temperature variables are solved using finite difference method. A parametric analysis illustrating the effects of the radiation parameter (0 ? Rd ? 10), Darcy number (10?5 ? Da ? 10?2), and viscosity variation parameter (0 ? C ? 6) on fluid flow and heat transfer is implemented. The results show an essential intensification of convective flow with an increase in the radiation parameter.

NUMERICAL STUDY OF BÉNARD CONVECTION WITH TEMPERATURE-DEPENDENT VISCOSITY IN A POROUS CAVITY VIA LATTICE BOLTZMANN METHOD

2010 ◽  
Vol 21 (11) ◽  
pp. 1407-1419 ◽  
Author(s):  
FUMEI RONG ◽  
ZHAOLI GUO ◽  
TING ZHANG ◽  
BAOCHANG SHI
Keyword(s):  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Numerical Results ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Average Temperature ◽  
Nusselt Numbers ◽  
Benard Convection ◽  
Dependent Viscosity ◽  
Boltzmann Method

In this paper, the heat transfer characteristics of a two-dimensional steady Bénard convection flow with a temperature-dependent viscosity are studied numerically by the lattice Boltzmann method (LBM). The double-distribution model for LBM is proposed, one is to simulate incompressible flow in porous media and the other is to solve the volume averaged energy equation. The method is validated by comparing the numerical results with those existing literature. The effect of viscosity dependent on temperature is investigated. The average Nusselt numbers for the cases of exponential form of viscosity-temperature and effective Rayleigh number based on average temperature (T ref = 0.5 (Th +Tc)) are compared. A new formula of reference temperature (T ref = Tc +f (b) (Th -Tc)) is proposed and the numerical results show that the average Nusselt numbers predicted by this method have higher precision than those obtained by average temperature.

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