Stability of natural convection boundary layer flow on an evenly heated vertical plate

T. Aberra*, S. W. Armfield, M. Behnia, G. D. McBain

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

2 Citations (Scopus)

Abstract

Stability of natural convection flow adjacent to a vertical plate with uniform heat flux is studied using direct numerical simulation (DNS). Stability of the fully developed boundary layer is examined by adding a perturbation to the simulation in the region of the plate origin, with the resulting traveling waves tracked as they travel up the boundary layer. The approach allows the critical height on the plate at which the traveling waves become unstable to be identified, providing a critical Rayleigh number for the occurrence of instability in this flow. The full details available from the numerical solution also allow the phase speed and amplitude of the most unstable mode to be identified. Flow with Rayleigh number Ra = 1.0 × 1010 and Prandtl number Pr = 6.7 is studied. Finally the DNS results are compared with the results obtained using the conventional linearized stability analysis.

Original languageEnglish
Title of host publicationFlow Dynamics
Subtitle of host publicationthe Second International Conference on Flow Dynamics
Place of PublicationMelville, NY
PublisherAIP Publishing
Pages456-460
Number of pages5
Volume832
ISBN (Print)0735403244, 9780735403246
DOIs
Publication statusPublished - 5 May 2006
Externally publishedYes
EventFLOW DYNAMICS: The Second International Conference on Flow Dynamics - Sendai, Japan
Duration: 16 Nov 200518 Nov 2005

Other

OtherFLOW DYNAMICS: The Second International Conference on Flow Dynamics
CountryJapan
CitySendai
Period16/11/0518/11/05

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