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An improved boundary layer scaling with ramp heating on a sloping plate

Saha, Suvash C. & Khan, M.M.K. (2012) An improved boundary layer scaling with ramp heating on a sloping plate. International Journal of Heat and Mass Transfer, 55(9-10), pp. 2268-2284.

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Abstract

A scaling analysis for the natural convection boundary layer adjacent to an inclined semi-infinite plate subject to a non-instantaneous heating in the form of an imposed wall temperature which increases linearly up to a prescribed steady value over a prescribed time is reported. The development of the boundary layer flow from start-up to a steady-state has been described based on scaling analyses and verified by numerical simulations. The analysis reveals that, if the period of temperature growth on the wall is sufficiently long, the boundary layer reaches a quasi-steady mode before the growth of the temperature is completed. In this mode the thermal boundary layer at first grows in thickness and then contracts with increasing time. However, if the imposed wall temperature growth period is sufficiently short, the boundary layer develops differently, but after the wall temperature growth is completed, the boundary layer develops as though the startup had been instantaneous. The steady state values of the boundary layer for both cases are ultimately the same.

Impact and interest:

4 citations in Scopus
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3 citations in Web of Science®

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45 since deposited on 18 Jan 2012
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ID Code: 48108
Item Type: Journal Article
Keywords: Natural convection, Ramp heating, Boundary layer, Unsteady flow, Prandtl number
DOI: 10.1016/j.ijheatmasstransfer.2012.01.038
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.2012.01.038
Deposited On: 18 Jan 2012 11:43
Last Modified: 03 Mar 2012 12:21

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