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Buoyancy driven convection in near-critical and supercritical fluids
Journal article   Peer reviewed

Buoyancy driven convection in near-critical and supercritical fluids

Nusair Hasan and Bakhtier Farouk
International journal of heat and mass transfer, v 55(15-16), pp 4207-4216
01 Jul 2012
DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2012.03.062
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Abstract

Engineering Engineering, Mechanical Mechanics Physical Sciences Science & Technology Technology Thermodynamics
Buoyancy driven thermal transport in a pure fluid (carbon dioxide) near its gas-liquid critical point is investigated using a two-dimensional numerical model. A square enclosure is considered with side heating. For all cases considered, the initial pressure and temperature of carbon dioxide is p(i) (>p(c)) and T-i (>T-c) respectively. The two side-walls of the enclosure are initially at temperature T-i and the left wall temperature is temporally raised to T-L infinity. The model considers the strong variable property effects (functions of both temperature and pressure) near the critical point, including the bulk viscosity variations. As thermal diffusivity approaches zero near the critical point, the divergence of thermo-physical properties near the critical point gives rise to large Rayleigh number flows even for very small temperature differences. The steady-state convective heat transfer coefficient near the critical point is investigated and a correlation for the steady state, spatially averaged Nusselt number along the vertical walls is developed as a function of the Rayleigh number and the ratios (p(i) - p(c))/p(c), (T-m - T-c)/T-c and T-pc' = (T-pc - T-c)/T-c, where T-m = (T-i + T-L infinity)/2. The subscripts 'i', 'm', 'c', 'pc' and refer to the initial, mean, critical, pseudo-critical conditions respectively while the subscript 'L infinity' refers to the final value of the left (heated) wall temperature. The effect of critically diverging bulk viscosity on the flow field and heat transport induced by buoyancy in near-critical fluids is also investigated. (C) 2012 Elsevier Ltd. All rights reserved.

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13 citations in Web of Science
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Web of Science research areas
Engineering, Mechanical
Mechanics
Thermodynamics
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