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Scaling for the Prandtl number of the natural convection boundary layer of an inclined flat plate under uniform surface heat flux

Saha, Suvash C., Brown, Richard J., & Gu, YuanTong (2012) Scaling for the Prandtl number of the natural convection boundary layer of an inclined flat plate under uniform surface heat flux. International Journal of Heat and Mass Transfer, 55(9-10), pp. 2394-2401.

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Abstract

An improved scaling analysis and direct numerical simulations are performed for the unsteady natural convection boundary layer adjacent to 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: a start-up stage, a transitional stage and a steady stage, which can be clearly identified in the analytical as well as the numerical results. Previous 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 perform very well with Rayleigh number and aspect ratio dependency. In this study, a modified Prandtl number scaling is developed using a triple layer integral approach for Pr > 1. It is seen that in comparison to the direct numerical simulations, the modified scaling performs considerably better than the previous scaling.

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3 citations in Web of Science®

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ID Code: 48944
Item Type: Journal Article
Keywords: Boundary layer, inclined plate, heat flux, Prandtl number
DOI: 10.1016/j.ijheatmasstransfer.2012.01.019
ISSN: 0017-9310
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) > 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 2012 Elsevier
Copyright Statement: This is the author’s version of a work that was accepted for publication in International Journal of Heat and Mass Transfer. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in International Journal of Heat and Mass Transfer, [VOL 55, ISSUE 9-10, (2012)] DOI: 10.1016/j.ijheatmasstransfer.2012.01.019
Deposited On: 02 Mar 2012 08:32
Last Modified: 16 Sep 2013 14:21

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