Scaling of natural convection of an inclined flat plate : sudden cooling condition

Saha, Suvash C., Patterson, John C., & Lei, Chengwang (2011) Scaling of natural convection of an inclined flat plate : sudden cooling condition. Journal of Heat Transfer, 133(4), 041503-041511.

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The natural convection boundary layer adjacent to an inclined plate subject to sudden cooling boundary condition has been studied. It is found that the cold boundary layer adjacent to the plate is potentially unstable to Rayleigh-Bénard instability if the Rayleigh number exceeds a certain critical value. A scaling relation for the onset of instability of the boundary layer is achieved. The scaling relations have been developed by equating important terms of the governing equations based on the development of the boundary layer with time. The flow adjacent to the plate can be classified broadly into a conductive, a stable convective or an unstable convective regime determined by the Rayleigh number. Proper scales have been established to quantify the flow properties in each of these flow regimes. An appropriate identification of the time when the instability may set in is discussed. A numerical verification of the time for the onset of instability is also presented in this study. Different flow regimes based on the stability of the boundary layer have been discussed with numerical results.

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7 citations in Web of Science®

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ID Code: 44108
Item Type: Journal Article
Refereed: Yes
Additional Information: Article locked down as per publisher's conditions
Keywords: Natural convection, Sudden cooling, Boundary layer, Unsteady flow, Instability
DOI: 10.1115/1.4002982
ISSN: 00221481
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Copyright Owner: Copyright 2011 ASME
Deposited On: 22 Aug 2011 01:19
Last Modified: 24 Aug 2011 10:48

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