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

Published online by Cambridge University Press:  30 April 2003

CHENGWANG LEI  and
JOHN C. PATTERSON
CHENGWANG LEI
Affiliation:
School of Engineering, James Cook University, Townsville, Queensland 4811, Australia
JOHN C. PATTERSON
Affiliation:
School of Engineering, James Cook University, Townsville, Queensland 4811, Australia
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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–Bénard 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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 480 , 10 April 2003 , pp. 161 - 184
Copyright
© 2003 Cambridge University Press

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