Chaotic dynamics of a convection roll in a highly confined, vertical, differentially heated fluid layer

2015 ◽  
Vol 91 (1) ◽  
Author(s):  
Zhenlan Gao ◽  
Berengere Podvin ◽  
Anne Sergent ◽  
Shihe Xin
1982 ◽  
Vol 104 (2) ◽  
pp. 255-263 ◽  
Author(s):  
E. F. C. Somerscales ◽  
H. B. Parsapour

This paper presents the results of an investigation concerned with measurements of the scale-size of the flow patterns near the so-called Malkus transitions. The flow patterns in a heated fluid layer were photographed at various Rayleigh numbers and these photographs subjected to quantitative analysis using an optical correlation computer. The results showed that the method provides a very sensitive technique for locating the transitions. Transitions reported by other investigators have been confirmed for Rayleigh numbers between 5.0 × 103 and 1.0 × 106, and an additional, previously unobserved, transition has been detected. Heat-transfer measurements were also made. This data demonstrated the limitations, compared to the optical method, of this approach to the detection of transitions.


1981 ◽  
Vol 103 (1) ◽  
pp. 114-120 ◽  
Author(s):  
M. Epstein ◽  
F. B. Cheung ◽  
T. C. Chawla ◽  
G. M. Hauser

The effective thermal conductivity for radiative heat transfer within an optically thick fluid layer undergoing high Rayleigh number convection is derived. This result is combined with available “pure” free-convection heat-transfer correlations to obtain closed-form analytical descriptions of the gross properties of a radiating fluid layer heated internally or from below. These simple solutions compare favorably with recent work in which the governing energy equation incorporating both turbulent heat transport and thermal radiation is solved numerically.


2007 ◽  
Vol 76 (5) ◽  
Author(s):  
Taoufik Boulal ◽  
Saïd Aniss ◽  
Mohamed Belhaq ◽  
Richard Rand

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