A direct stability analysis of a radiation-induced natural convection boundary layer in a shallow wedge

Lei, Chengwang, and Patterson, John C. (2003) A direct stability analysis of a radiation-induced natural convection boundary layer in a shallow wedge. Journal of Fluid Mechanics, 480. pp. 161-184.

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Abstract

This study considers the convective instability of a water-filled shallow wedge with an absorptive bottom subject to solar radiation. Previous studies have revealed that a thermal boundary layer develops along the sloping bottom due to the absorption of penetrative radiation there, and this boundary layer is potentially unstable to the Rayleigh–Benard instability. The stability properties of the thermal boundary layer are determined in the present study by perturbing the three-dimensional numerical solution. The result of the direct stability analysis has confirmed previous scaling with respect to the convective instability. Additional features of the thermal layer instability have also been revealed from the direct stability analysis.

Item ID: 659
Item Type: Article (Research - C1)
ISSN: 1469-7645
Keywords: direct stability analysis, natural convection, triangular enclosure, solar radiation, thermal boundary layer
Additional Information:

Reproduced with permission from Journal of Fluid Mechanics, Cambridge University Press. © 2003 Cambridge University Press. Lei, Chengwang, and Patterson, John C. (2003) A direct stability analysis of a radiation-induced natural convection boundary layer in a shallow wedge. Journal of Fluid Mechanics, 480 . pp. 161-184. http://journals.cambridge.org/flm

Date Deposited: 23 Oct 2006
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 60%
09 ENGINEERING > 0915 Interdisciplinary Engineering > 091505 Heat and Mass Transfer Operations @ 30%
09 ENGINEERING > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows @ 10%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 80%
96 ENVIRONMENT > 9609 Land and Water Management > 960999 Land and Water Management of Environments not elsewhere classified @ 20%
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