Boundary-layer thickness and instabilities in Bénard convection of a liquid with a temperature-dependent viscosity

2001 ◽  
Vol 13 (3) ◽  
pp. 802-805 ◽  
Author(s):  
Michael Manga ◽  
Dayanthie Weeraratne ◽  
S. J. S. Morris
Keyword(s):  
Boundary Layer ◽  
Layer Thickness ◽  
Boundary Layer Thickness ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Bénard Convection ◽  
Benard Convection ◽  
Dependent Viscosity

scholarly journals Rayleigh-Bénard Convection of Non-Newtonian Power-Law Fluids with Temperature-Dependent Viscosity

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Mourad Kaddiri ◽  
Mohamed Naïmi ◽  
Abdelghani Raji ◽  
Mohammed Hasnaoui
Keyword(s):  
Heat Transfer ◽  
Power Law ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Bénard Convection ◽  
Benard Convection ◽  
Power Law Fluids ◽  
Dependent Viscosity ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

Two-dimensional steady-state Rayleigh-Bénard convection of thermodependent power-law fluids confined in a square cavity, heated from the bottom and cooled on the top with uniform heat fluxes, has been conducted numerically using a finite difference technique. The effects of the governing parameters, which are the Pearson number (0≤m≤10), the flow behaviour index (0.6≤n≤1.4), and the Rayleigh number (0<Ra≤105), on the flow onset, flow structure, and heat transfer have been examined. The heatlines concept has been used to explain the heat transfer deterioration due to temperature-dependent viscosity effect that m expresses.

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.

Sign in / Sign up

Export Citation Format

Share Document