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

Saha, Suvash C., Patterson, John C., and Lei, Chengwang (2011) Scaling of natural convection of an inclined flat plate: sudden cooling condition. Journal of Heat Transfer, 133 (4). pp. 1-9.

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Abstract

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.

Item ID: 21817
Item Type: Article (Refereed Research - C1)
Keywords: boundary layer, instability, natural convection, sudden cooling, unsteady flow
ISSN: 1528-8943
Date Deposited: 15 May 2012 05:37
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091505 Heat and Mass Transfer Operations @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 100%
Citation Count from Web of Science Web of Science 2
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