Prandtl number scaling of natural convection of an inclined flat plate due to uniform surface heat flux

Saha, Suvash C. & Gu, YuanTong (2011) Prandtl number scaling of natural convection of an inclined flat plate due to uniform surface heat flux. In 10th Engineering Mathematics and Applications Conference (EMAC 2011), 4th - 7th December 2011, University of Technology Sydney, Sydney, NSW. (Unpublished)

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A new scaling analysis has been performed for the unsteady natural convection boundary layer under a downward facing inclined plate with uniform heat flux. The development of the thermal or viscous boundary layers may be classified into three distinct stages including a start-up stage, a transitional stage and a steady stage, which can be clearly identified in the analytical as well as numerical results. Earlier scaling shows that the existing scaling laws of the boundary layer thickness, velocity and steady state time scale for the natural convection flow on a heated plate of uniform heat flux provide a very poor prediction of the Prandtl number dependency of the flow. However, those scalings performed very well with Rayleigh number and aspect ratio dependency. In this study, a new Prandtl number scaling has been developed using a triple-layer integral approach for Pr > 1. It is seen that in comparison to the direct numerical simulations, the new scaling performs considerably better than the previous scaling.

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5 citations in Web of Science®
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ID Code: 47482
Item Type: Conference Item (Presentation)
Refereed: No
Keywords: Scaling Analysis, Heat Flux, Boundary layer, Natural convection
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300)
Divisions: Past > QUT Faculties & Divisions > Faculty of Built Environment and Engineering
Past > Schools > School of Engineering Systems
Deposited On: 04 Dec 2011 22:01
Last Modified: 04 Dec 2011 22:01

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