Abstract
The natural oscillation frequency of freely suspended liquid droplets can be related to the surface tension of the material, and the decay of oscillations to the liquid viscosity. However, the fluid flow inside the droplet must be laminar to measure viscosity with existing correlations; otherwise the damping of the oscillations is dominated by turbulent dissipation. Because no experimental method has yet been developed to visualize flow in electromagnetically levitated oscillating metal droplets, mathematical modeling can assist in predicting whether or not turbulence occurs, and under what processing conditions. In this paper, three mathematical models of the flow: (1) assuming laminar conditions, (2) using the k−ɛ turbulence model, and (3) using the RNG turbulence model, respectively, are compared and contrasted to determine the physical characteristics of the flow. It is concluded that the RNG model is the best suited for describing this problem when the interior flow is turbulent. The goal of the presented work was to characterize internal flow in an oscillating droplet of liquid metal, and to verify the accuracy of the characterization by comparing calculated surface tension and viscosity values to available experimental results.
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R.F. Brooks I. Egry S. Seetharaman D. Grant (2001) High Temp. - High Press. 33 631 Occurrence Handle10.1068/htwu323
J.W.S. Rayleigh (1879) Proc. Royal Soc. London 29 71
P.V.R. Suryanarayana Y. Bayazitoglu (1991) Phys. Fluids A 3 967 Occurrence Handle10.1063/1.857974
D.L. Cummings D.A. Blackburn (1991) J. Fluid Mech 224 395
S. Meradji T.P. Lyubimova D.V. Lyubimov B. Roux (2001) Cryst. Res. Technol 36 729 Occurrence Handle10.1002/1521-4079(200108)36:7<729::AID-CRAT729>3.0.CO;2-3
H. Lamb (1881) Proc. London Math. Soc 13 51
R.W. Hyers G. Trapaga B. Abedian (2003) Met. Trans. B 34 29
S.R. Berry R.W. Hyers B. Abedian L.M. Racz (2000) Met.Trans. B 31 171
V. Yakhot S.A. Orszag (1986) J. Sci. Comp 1 1
W. Rodi (1984) Turbulence Models and their Applications in Hydraulics Brookfield Publishing Philadelphia
J.-H. Zong J. Szekely E. Schwartz (1992) IEEE Trans. Magn 28 1833 Occurrence Handle10.1109/20.141293
C.W. Hirt B.D. Nichols (1981) J. Comp. Phys 39 210
S.R. Berry (1998) M. S. Thesis Tufts University Medford, Massachusetts
R.W. Hyers G. Trapaga M.C. Flemings (1999) Solidification 1999 TMS Warrendale, Pennsylvania 23–31
Team TEMPUS, “Materials and Fluids under Low Gravity,” Proc. IXth Eur. Symp. on Gravity-Dependent Phenomena in Phys. Sci., Lecture Notes in Physics 464 (Springer, New York, 1996),pp. 233–252.
V. Shatrov J. Priede G. Gerbeth (2003) Phys. Fluids 15 668 Occurrence Handle10.1063/1.1535410
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Berry, S.R., Hyers, R.W., Racz, L.M. et al. Surface Oscillations of an Electromagnetically Levitated Droplet. Int J Thermophys 26, 1565–1581 (2005). https://doi.org/10.1007/s10765-005-8104-7
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DOI: https://doi.org/10.1007/s10765-005-8104-7