Scaling analysis and simulation of natural convection cooling of fluid with Pr < 1 in a rectangular container

Lin, Wenxian, and Armfield, Steven (2005) Scaling analysis and simulation of natural convection cooling of fluid with Pr < 1 in a rectangular container. In: Proceedings of the 8th Australasian Heat & Mass Transfer Conference, pp. 1-4. From: 8th Australasian Heat & Mass Transfer Conference, 26-29 July 2005, Perth, WA, Australia.

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Abstract

The unsteady natural convection cooling of fluid with Pr < 1 in a rectangular container with an imposed lower temperature on the vertical sidewalls is dominated by the boundary-layer development stage adjacent to the sidewall, the stratification stage, and the cooling-down stage, respectively. Various scaling laws to describe the unsteady flow behavior at these respective stages are developed with scaling analysis and are verified and quantified by direct numerical simulation with selected values of the aspect ratio of the cylinder A, the Rayleigh number Ra, and the Prandtl number Pr in the ranges of 1/3< A < 3, 10^6 < Ra < 10^10, and 0.01 < Pr < 0.5. Three-dimensional direct numerical simulation results have also been obtained and shown that the two-dimensional assumption made in the scaling analysis is correct, at least for the boundary-layer development and initial stratification stages of the flow.

Item ID: 9508
Item Type: Conference Item (Refereed Research Paper - E1)
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Date Deposited: 21 Jun 2010 22:33
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970109 Expanding Knowledge in Engineering @ 80%
97 EXPANDING KNOWLEDGE > 970102 Expanding Knowledge in the Physical Sciences @ 20%
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