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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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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|Item Type:||Journal Article|
|Keywords:||Boundary layer, inclined plate, heat flux, Prandtl number|
|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|
Available Versions of this Item
- Scaling for the Prandtl number of the natural convection boundary layer of an inclined flat plate under uniform surface heat flux. (deposited 10 Jan 2012 14:20)
- Scaling for the Prandtl number of the natural convection boundary layer of an inclined flat plate under uniform surface heat flux. (deposited 02 Mar 2012 08:32)[Currently Displayed]
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