Convection in a horizontal fluid layer under an inclined temperature gradient

In this paper, we investigate the flow instability of a horizontal fluid layer under an inclined temperature gradient. The fluid layer is supposed to be of infinite extension, and the differentially heated lateral walls are very far away from the central region which is the subject of research. The...

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Bibliographic Details
Published in:Physics of fluids (1994) 2011-08, Vol.23 (8), p.084107-084107-11
Main Authors: Ortiz-Pérez, A. S., Dávalos-Orozco, L. A.
Format: Article
Language:English
Subjects:
Buoyancy-driven instability
Convection and heat transfer
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Physics
Turbulent flows, convection, and heat transfer
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Summary:In this paper, we investigate the flow instability of a horizontal fluid layer under an inclined temperature gradient. The fluid layer is supposed to be of infinite extension, and the differentially heated lateral walls are very far away from the central region which is the subject of research. The layer is also inside two rigid, horizontal and parallel walls which are perpendicular to gravity and subjected to a vertical adverse temperature gradient. Calculations are done for Prandtl numbers Pr in the range from 0.026 to 1, which include materials from liquid metals to gases. By improving the Galerkin numerical method, new results and important extensions and corrections to the work of Nield [Int. J. Heat Fluid Flow 15 , 157 (1994)] are obtained. It is found that inside the range 0.2
ISSN:1070-6631
1089-7666
DOI:10.1063/1.3626009