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Scaling analysis of the unsteady natural convection boundary layer adjacent to an inclined plate for Pr > 1 following instantaneous heating

Saha, Suvash C., Xu, Feng , & Molla, Md. Mamun (2011) Scaling analysis of the unsteady natural convection boundary layer adjacent to an inclined plate for Pr > 1 following instantaneous heating. Journal of Heat Transfer, 133(11), pp. 112501-112510.

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Abstract

The unsteady natural convection boundary layer adjacent to an instantaneously heated inclined plate is investigated using an improved scaling analysis and direct numerical simulations. The development of the unsteady natural convection boundary layer following instantaneous heating may be classified into three distinct stages including a start-up stage, a transitional stage and a steady state stage, which can be clearly identified in the analytical and numerical results. Major scaling relations of the velocity and thicknesses and the flow development time of the natural convection boundary layer are obtained using triple-layer integral solutions and verified by direct numerical simulations over a wide range of flow parameters.

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ID Code: 45669
Item Type: Journal Article
Keywords: Unsteady natural convection boundary layer, inclined plate, instantaneous heating, Prandtl number
DOI: 10.1115/1.4004336
ISSN: 0022-1481
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 American Society of Mechanical Engineers
Copyright Statement: Authors retain all proprietary rights in any idea, process, procedure, or articles of manufacture described in the Paper, including the right to seek patent protection for them. Authors may perform, lecture, teach, conduct related research, display all or part of the Paper, and create derivative works in print or electronic format. Authors may reproduce and distribute the Paper for non-commercial purposes only. Non-commercial applies only to the sale of the paper per se. For all copies of the Paper made by Authors, Authors must acknowledge ASME as original publisher and include the names of all author(s), the publication title, and an appropriate copyright notice that identifies ASME as the copyright holder.
Deposited On: 02 Sep 2011 08:53
Last Modified: 04 Sep 2011 02:16

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