scholarly journals Determination of a Hopf bifurcation of natural convection in a symmetric heated square cavity

2018 ◽  
Vol 36 (4) ◽  
pp. 1268-1275
Author(s):  
Omar Kholai ◽  
Djoubeir Debbah ◽  
Abdelkader Filali
Keyword(s):  
Natural Convection ◽  
Hopf Bifurcation ◽  
Square Cavity

Natural Convection in an Inclined Differentially Heated Square Cavity

2014 ◽  
Author(s):  
Steven W. Armfield ◽  
M. P. Kirkpatrick ◽  
Nicholas Williamson ◽  
Wenxian Lin
Keyword(s):  
Natural Convection ◽  
Square Cavity

scholarly journals Effect of wall-slip on natural convection in a square cavity

2021 ◽  
Vol 1132 (1) ◽  
pp. 012040
Author(s):  
Kartik Suresh ◽  
C K Arjun ◽  
Damu Murali ◽  
S Ajith Kumar
Keyword(s):  
Natural Convection ◽  
Wall Slip ◽  
Square Cavity

Natural convection in a square cavity containing two heat-generating cylinders with different geometries

2021 ◽  
Author(s):  
R. Hidki ◽  
L. El Moutaouakil ◽  
Z. Charqui ◽  
M. Boukendil ◽  
Z. Zrikem
Keyword(s):  
Natural Convection ◽  
Square Cavity

Laminar Natural Convection Heat Transfer in a Differentially Heated Square Cavity Due to a Thin Fin on the Hot Wall

2003 ◽  
Vol 125 (4) ◽  
pp. 624-634 ◽  
Author(s):  
Xundan Shi ◽  
J. M. Khodadadi
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Computational Study ◽  
Convection Heat Transfer ◽  
Square Cavity ◽  
Left Wall ◽  
Flow Modification ◽  
Laminar Natural Convection ◽  
Rayleigh Numbers ◽  
Blockage Effect

A finite-volume-based computational study of steady laminar natural convection (using Boussinesq approximation) within a differentially heated square cavity due to the presence of a single thin fin is presented. Attachment of highly conductive thin fins with lengths equal to 20, 35 and 50 percent of the side, positioned at 7 locations on the hot left wall were examined for Ra=104,105,106, and 107 and Pr=0.707 (total of 84 cases). Placing a fin on the hot left wall generally alters the clockwise rotating vortex that is established due to buoyancy-induced convection. Two competing mechanisms that are responsible for flow and thermal modifications are identified. One is due to the blockage effect of the fin, whereas the other is due to extra heating of the fluid that is accommodated by the fin. The degree of flow modification due to blockage is enhanced by increasing the length of the fin. Under certain conditions, smaller vortices are formed between the fin and the top insulated wall. Viewing the minimum value of the stream function field as a measure of the strength of flow modification, it is shown that for high Rayleigh numbers the flow field is enhanced regardless of the fin’s length and position. This suggests that the extra heating mechanism outweighs the blockage effect for high Rayleigh numbers. By introducing a fin, the heat transfer capacity on the anchoring wall is always degraded, however heat transfer on the cold wall without the fin can be promoted for high Rayleigh numbers and with the fins placed closer to the insulated walls. A correlation among the mean Nu, Ra, fin’s length and its position is proposed.

Sign in / Sign up

Export Citation Format

Share Document