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  • Journal of Fluid Mechanics, Volume 480
  • April 2003, pp. 161-184

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

  • CHENGWANG LEI (a1) and JOHN C. PATTERSON (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112002003543
  • Published online: 01 April 2003
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.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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