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Scaling analysis of unsteady natural convection boundary layer for ramp heating

Saha, Suvash C. (2010) Scaling analysis of unsteady natural convection boundary layer for ramp heating. In Proceedings of the 13th Asian Congress of Fluid Mechanics, Engineers Institute of Bangladesh, Dhaka, Bangladesh, pp. 767-770.

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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 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 quasisteady 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 start up had been instantaneous. The steady state values of the boundary layer for both cases are ultimately the same.

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ID Code: 44166
Item Type: Conference Paper
Keywords: Natural convection, Ramp heating, Boundary layer
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 2010 [please consult the author]
Deposited On: 24 Aug 2011 08:14
Last Modified: 30 Mar 2013 09:08

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