Cooling of a Pr<1 fluid in a rectangular container

Lin, Wenxian, Armfield, S.W., and Patterson, John C. (2007) Cooling of a Pr<1 fluid in a rectangular container. Journal of Fluid Mechanics, 574. pp. 85-108.

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Abstract

The flow behaviour associated with the cooling of an initially quiescent isothermal Newtonian fluid with Prandtl number Pr less than unity in a rectangular container by unsteady natural convection with an imposed lower temperature on vertical sidewalls is investigated by scaling analysis and direct numerical simulation. The flow is dominated by two distinct stages of development, i.e. the boundary-layer development stage adjacent to the sidewall and the subsequent cooling-down stage. The first stage can be further divided into a start-up stage, transitional stage, and steady-state stage. The parameters characterizing the flow behaviour are the boundary-layer thickness, the maximum vertical velocity within the boundary layer, the time for the boundary layer to reach the steady state, the Nusselt number across the sidewall at the boundary layer development stage, the time for the fluid in the container to be fully cooled down, and the average fluid temperature over the whole volume of the container.

Item ID: 2396
Item Type: Article (Refereed Research - C1)
Keywords: natural convection; small Prandtl number flow; scaling analysis; direct numerical simulation; unsteady flow; heat transfer
Additional Information:

Reproduced with permission from Journal of Fluid Mechanics. Copyright: Cambridge University Press http://journals.cambridge.org/flm

Lin, Wenxian and Armfield, S.W. and Patterson, John C. (2007) Cooling of a Pr<1 fluid in a rectangular container. Journal of Fluid Mechanics, 574. pp. 85-108.

ISSN: 1469-7645
Date Deposited: 07 May 2009 05:00
FoR Codes: 09 ENGINEERING > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics @ 60%
09 ENGINEERING > 0915 Interdisciplinary Engineering > 091505 Heat and Mass Transfer Operations @ 40%
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