Lin, Wenxian, and Armfield, S.W. (2013) Direct numerical simulation of unsteady natural convection boundary layers on an evenly heated plate with time-varying heating flux. In: Proceedings of the 5th Asia Pacific Congress on Computational Mechanics and 4th International Symposium on Computational Mechanics. 1292. pp. 1-8. From: APCOM and ISCM 2013: 5th Asia Pacific Congress on Computational Mechanics and 4th International Symposium on Computational Mechanics, 11-14 December 2013, Singapore.

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Abstract

It is of fundamental significance and application importance to fully understand the flow behavior of unsteady natural convection boundary layers under time-dependent heating conditions. Such an understanding is currently scarce. In this paper, a series of scalings developed for the major parameters representing the flow behavior of the unsteady natural convection boundary layer of a homogeneous Newtonian fluid with Pr>1 adjacent to a vertical plate evenly heated with a time-varying sinusoidal heat flux were validated by comparison to ten direct numerical simulations. These scaling provide relations between these parameters with the governing parameters of the flow, i.e., the Rayleigh number (Ra), the Prandtl number (Pr), and the dimensionless natural frequency (fn) of the time-varying sinusoidal heat flux, at the start-up stage, at the critical time, and at the quasi-steady state. The results show that in general these scalings provide an accurate description of the flow at different development stages.

Item ID:	32448
Item Type:	Conference Item (Research - E1)
Keywords:	natural convection, boundary layer, scaling, direct numerical simulation, heat flux, time-dependent heating
Related URLs:	Organisation
Funders:	National Natural Science Foundation of China, Yunnan Provincial Science Foundation, China, Australian Research Council
Projects and Grants:	National Natural Science Foundation of China (Grant No. 11072211),, Natural Science Foundation of Yunnan Province (2011FA017)
Date Deposited:	15 Apr 2014 02:27
FoR Codes:	09 ENGINEERING > 0915 Interdisciplinary Engineering > 091505 Heat and Mass Transfer Operations @ 80% 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 20%
SEO Codes:	85 ENERGY > 8507 Energy Conservation and Efficiency > 850704 Residential Energy Conservation and Efficiency @ 30% 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 70%
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