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Journal ArticleDOI

Finite Element Analysis of Natural Convection in the Active Corners of a Square Cavity

01 Jun 1991-Numerical Heat Transfer Part A-applications (Taylor & Francis Group)-Vol. 19, Iss: 4, pp 445-470
Abstract: Numerical results are reported for two cases of (1) a differentially heated corner region with a cold wall on the top as well as a corner formed by a cold vertical wall and a heated horizontal wall and (2) a cavity heated from below and partially cooled along one side. Finite element simulations indicate several interesting features of the flow structures in these two cases.
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Journal ArticleDOI
Abstract: This survey is a review of technical papers in the area of numerical heat transfer (NHT) published in 1990 and 1991 and is a continuation of past literature surveys. The journals surveyed in this article include (1) Numerical Heat Transfer, Part A (2) Numerical Heat Transfer, Part B (3) International Journal for Numerical Methods in Fluids, (4) ASME Journal of Heat Transfer (5) International Journal of Heat and Mass Transfer, (6) Journal of Computational Physics, and (7) AIAA Journal. Several other archival journals, such as Journal of Fluid Mechanics, International Journal for Numerical Methods in Engineering, SIAM Journal of Numerical Analysis, Computers and Fluids, Symposia (International) on Combustion, Combustion and Flames, Computer Methods in Applied Mechanics and Engineering, Communication on Pure and Applied Mathematics, and Applied Mathematical Modeling, occasionally publish works in the area of NHT. However, they are not surveyed. It is hoped that the relevant papers are cited in the references listed in this article. For ease of presentation, the survey is divided into 16 technical categories. Naturally, many papers cover more than one topic. In this case, they are categorized under the main topic and are cross referenced under others. Also, readers may be interested in amore » particular physical phenomenon or a particular method that is described in more than one of these categories. To facilitate the readers' search, the authors list some of these topics with related papers.« less

10 citations


Journal ArticleDOI
Abstract: Laminar natural convection in rectangular enclosures divided by a single thin partition is studied numerically by the finite-element method. Special emphasis is given to enclosures with aspect ratios less than 1, although the results for aspect ratios of 1 have also been reported for comparison. The effect on flow structure and heat transfer of shifting the partition in the enclosure has also been investigated. While the Prandtl number is held at unity, the Rayteigh number is considered over a wide range, that is, from 103 to 106, and the aspect ratio assumed the values of I, 0.8, 0.5, and 0.4.

9 citations


Journal ArticleDOI
Abstract: Natural convection in a square cavity with a centrally located partition is considered. While one of the side walls is fully active, the other is partly insulated. Numerical simulation, based on the finite element method, has been carried out for different lengths of the active surface. The results have been compared with the cases when the cavity is without partition as well as the case of a partitioned cavity with fully active side walls.

1 citations


References
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Journal ArticleDOI
Abstract: Details are given of the computational method used to obtain an accurate solution of the equations describing two-dimensional natural convection in a square cavity with differentially heated side walls. Second-order, central difference approximations were used. Mesh refnement and extrapolation led to solutions for 103⩽Ra⩽10 6 which are believed to be accurate to better than 1 per cent at the highest Rayleigh number and down to one-tenth of that at the lowest value.

2,342 citations


Journal ArticleDOI
TL;DR: The program given here assembles and solves symmetric positive–definite equations as met in finite element applications, more involved than the standard band–matrix algorithms, but more efficient in the important case when two-dimensional or three-dimensional elements have other than corner nodes.
Abstract: The program given here assembles and solves symmetric positive–definite equations as met in finite element applications. The technique is more involved than the standard band–matrix algorithms, but it is more efficient in the important case when two-dimensional or three-dimensional elements have other than corner nodes. Artifices are included to improve efficiency when there are many right hand sides, as in automated design. The organization of the program is described with reference to diagrams, full notation, specimen input data and supplementary comments on the ASA FORTRAN print-out.

873 citations


Book
01 Jan 1979-
TL;DR: The Methode des elements finis Reference Record was created on 2004-09-07 and will be updated on 2016-08-08.
Abstract: Keywords: Methode des elements finis Reference Record created on 2004-09-07, modified on 2016-08-08

200 citations


Journal ArticleDOI
Abstract: Revue des progres recents dans les etudes numeriques et experimentales de l'instabilite d'ecoulement, de la bifurcation et de la transition vers la turbulence d'un ecoulement dans des cavites rectangulaires tridimensionnelles chauffees par le bas et les cotes

119 citations


Journal ArticleDOI
Abstract: Natural convection of air in square cavities with half-active and half-insulated vertical walls is numerically investigated for Rayleigh numbers of 103–107. This problem is related to applications in solar collection and cooling of electronic components. Five different relative positions of the active zones are considered. While circulation depends strongly on the total exit length downstream of the active zones, heat transfer depends less on this parameter. Significant conduction effects occur even at a Rayleigh number of 105. Expressions for average Nusselt number in the five situations and hints on how to generalize heat transfer results to intermediate cases are given.

102 citations


Performance
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No. of citations received by the Paper in previous years
YearCitations
19931
19922