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Dimensionless correlations for forced convection in liquid metals: Part II. two-phase flow
Authors:Stavros A. Argyropoulos  Dipak Mazumdar  Anthony C. Mikrovas  Don A. Doutre
Affiliation:(1) the Department of Metallurgy and Materials Science, University of Toronto, M5S 3E4 Toronto, ON, Canada;(2) the Department of Materials and Metallurgical Engineering, Indian Institute of Technology, Kanpur, India;(3) Present address: Cominco Ltd., VIR 4S4 Trail, BC, Canada;(4) Athens, Greece;(5) the Kingston Research and Development Centre, Alcan International Ltd., K7L 5L9 Kingston, ON, Canada
Abstract:An experimental technique has been developed to study the convective heat-transfer characteristics of gas-agitated liquid metals. A sphere made from the same metal as the liquid metal under investigation is immersed in the center axis of the plume. The melting time of this sphere is detected, and from this time, the convective heat-transfer characteristics of the metal bath are deduced. Based on a variety of experimental results, a dimensionless correlation was deduced. This equation has the following form:

$$begin{gathered}  overline {Nu_D }  = 2 + 10^{ - 4.817}  times operatorname{Re} _D^{1.556}  hfill   2797 leqslant operatorname{Re} _D  leqslant 7148, Pr  approx 0.014 hfill  end{gathered} $$
Two-phase flow and single-phase flow convective heat-transfer comparisons were made. It was found that for the same Reynolds number, the heat-transfer characteristics for two-phase flow are larger than for the single-phase flow. It was also found that the larger turbulence intensity of the two-phase flow is responsible for this difference in the heat-transfer characteristics. Implications of this observation for liquid metals processing operations are discussed.
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