Stability of a microwave heated fluid Layer

1998 ◽  
Vol 60 (1) ◽  
pp. 73-89 ◽  
Author(s):  
J Gilchrist
Keyword(s):  
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

1999 ◽  
Author(s):  
Debasish Mishra ◽  
K. Muralidhar ◽  
P. Munshi

Abstract The present work is concerned with the development of a robust three dimensional reconstruction algorithm for applications involving tomography. In an earlier study it was shown that among the ART family of algorithms the multiplicative algebraic reconstruction algorithm (MART) was the most appropriate for tomographic reconstruction. In the present work, the MART algorithm has been extended so that (a) its performance is acceptable over a wider range of relaxation factors, (b) the time requirement for convergence to a solution is lower and (c) its performance is less sensitive to noise in the projection data. Two applications have been considered for evaluating the proposed algorithms namely a circular region with holes and experimental data recorded in a differentially heated fluid layer using an interferometer. The algorithms proposed are seen to be clearly an improvement over those presently available.


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