Scaling analysis of unsteady natural convection boundary layers on an evenly heated plate with a time-dependent temperature

Lin, W., Armfield, S.W., Liu, T., and Gao, W. (2014) Scaling analysis of unsteady natural convection boundary layers on an evenly heated plate with a time-dependent temperature. In: Proceedings of the 19th Australasian Fluid Mechanics Conference. 531. From: AFMC 2014: 19th Australasian Fluid Mechanics Conference, 8-11 December 2014, Melbourne, VIC, Australia.

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Abstract

In this paper, a scaling analysis using a simple three-region structure was conducted for the unsteady natural convection boundary layer (NCBL) of a homogeneous Newtonian fluid with Pr > 1 adjacent to a vertical plate evenly heated with a time-dependent sinusoidal temperature. A series of scalings were developed for the thermal boundary thickness, the viscous boundary thicknesses, the maximum vertical velocity within the boundary layer, and the local and average Nusselt number across the plate, which are the major parameters representing the flow behavior, in terms of the governing parameters of the flow, i.e.the Rayleigh number Ra, the Prandtl number Pr, and the dimensionless natural frequency f(n) of the time-dependent sinusoidal temperature, at the start-up stage, at the transition time scale which represents the ending of the start-up stage and the beginning of the transitional stage of the boundary-layer development, and at the quasi-steady stage.


Item ID:	37285
Item Type:	Conference Item (Research - E1)
ISBN:	978-0-646-59695-2
Related URLs:	Organisation Publisher
Funders:	National Natural Science Foundation of China, Yunnan Natural Science Foundation, China, Australian Research Council (ARC)
Projects and Grants:	National Natural Science Foundation of China (51469035, 51266016), Yunnan Natural Science Foundation (2011FA017)
Date Deposited:	16 Feb 2015 23:47
FoR Codes:	09 ENGINEERING > 0915 Interdisciplinary Engineering > 091505 Heat and Mass Transfer Operations @ 100%
SEO Codes:	97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 100%
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