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ISSN Online: 2377-424X

ISBN Print: 0-89116-130-9

International Heat Transfer Conference 6
August, 7-11, 1978, Toronto, Canada

VERTICAL NATURAL CONVECTION WITH A UNIFORM FLUX CONDITION IN PURE AND SALINE WATER AT THE DENSITY EXTREMUM

Get access (open in a dialog) DOI: 10.1615/IHTC6.3200
pages 217-222

Abstract

These results concern a vertical buoyancy induced flow in cold pure and saline water for temperature conditions wherein density extrema may occur. The flow is that generated adjacent to a vertical surface dissipating uniform heat flux. The linear density dependence approximation for the buoyancy force is inadmissable. In general, buoyancy force reversals and convective inversions may also both arise. Our calculations are based on a new and very accurate, yet simple, density relation for pure and saline water. This equation of state applies in the region of maximum density and for a wide range of temperature, salinity and pressure. A simple flow formulation follows, for many important configurations, for both thermal and saline caused buoyancy effects. For the uniform flux condition, similarity results when the quiescent medium is at the temperature condition at which the extremum occurs. This temperature is both salinity and pressure dependent. One additional parameter arises in the analysis, q(s,p). Solutions of flow and heat transfer characteristics are given for salinity and pressure conditions to 40 ppt (o/oo) and 1000 bars. The Prandtl number variation over this range is also accounted for. The effects of the extremum on transport are seen to be large.