Abstract
Concentration-induced convection of a binary metal melt in a rectangular crucible has been studied numerically in the case of a mixture with a eutectic phase diagram. The calculations are performed for realistic parameters which correspond to the pair of metals Sn-Pb. A solid rod with non-wettable boundaries and a non-uniform longitudinal temperature distribution on the surface is immersed into the melt vertically at the center of the crucible. The condition of complete non-wetting allows us to consider the interface between the melt and the rod to be free. The temperature non-uniformity leads to inhomogeneity of the surface tension. As a result, the thermocapillary force generates a steady convective flow first on the surface of the rod and then in the volume. Due to this motion, the heavy component of the alloy is transferred along the rod’s surface to the butt-end. At the boundary patches with the excess of concentration it has been extracted into the volume by means of the desorption mechanism. In the presence of weak convection in the volume, this component is partially accumulated near the bottom of the crucible under the butt-end. Thus, there takes place a process of separation of heavy admixture for the two-component metal melts.
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References
Belyaev, A.V., Vinogradova, O.I.: Effective slip in pressure-driven flow past superhydrophobic stripes. J. Fluid Mech. 652, 489–499 (2010)
Birikh, R.V., Briskman V.A., Velarde M., Legros J.-C.: Liquid Interfacial Systems: Oscillations and Instability. CRC Press, 392 p, (2003)
Bratukhin Yu, K., Makarov, S.O.: Interfacial Convection, p. 328. Perm State University Press, Perm (1994)
Croll, A., Kaiser, T., Schweizer, M., Danilewsky, A.N., Lauer, S., Tegetmeier, A., Benz, K.: Floating-zone and floating-solution-zone growth of GaSb under microgravity. J. Cryst. Growth. 191, 365–376 (1998)
De Gennes, P.G.: Wetting: statics and dynamics. Rev. Mod. Phys. 57, 827–863 (1985)
Demin, V.A., Mizev, A.I., Petukhov, M.I.: On thermocapillary mechanism of spatial separation of metal melts. Microgravity Sci. Technol. 30, 69–76 (2017)
Demin, V.A., Mizev, A.I., Petukhov, M.I., Shmyrov, A.V.: On an unusual behavior of the melt Al-Si in thin capillaries. Bulletin of Perm University. Physics. 1(39), 26–35 (2018)
Gavrilin, I.V., Uglev, N.P.: Mathematical model of a stratification of metal melts in capillaries. J. Phys. Conf. Ser. 98(022013), 1–10 (2008)
Gavrilin, I.V., Frolova, T.B., Zaharov, V.P.: O likvacii v zhidkih ehvtekticheskih rasplavah. Izvestiya AN SSSR. 3, 191–193 (1984)
Gershuni, G.Z., Zhukhovitskii, E.M.: Convective Stability of Incompressible Fluids, p. 330. Keter Publishing House, Jerusalem (1976)
Leitner, M., Leitner, T., Schmon, A., Aziz, K., Pottlacher, G.: Thermophysical properties of liquid aluminum. Metall. Mater. Trans. A. 48A, 3036–3045 (2017)
Nield, D.: Surface tension and buoyancy effects in cellular convection microgravity. Journal of Fluid Mechanics. 19(3), 341–352 (1964)
Sasaki, H., Tokizaki, E., Terashima, K., Kimura, S.: Density variation of molten silicon measured by an improved Archimedian method. Jpn. J. Appl. Phys. 33, 3803–3807 (1994)
Schlichting, H.: Boundary-Layer Theory, p. 817. McGraw-Hill, New York (1979)
Shmyrov, A.V., Mizev, A.I., Demin, V.A., Petukhov, M.I., Bratsun, D.A.: On the extent of surface stagnation produced jointly by insoluble surfactant and thermocapillary flow. Adv. Colloid Interf. Sci. 225, 10–17 (2018)
Slavtchev, S., Hennenberg, M., Legros, J.-C., Lebon, G.: Stationary solutal Marangoni instability in a two-layer system. J. Colloid Interface Sci. 203(2), 354–368 (1998)
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This work was supported by Program of UB RAS, project number 18-11-1-8.
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This article belongs to the Topical Collection: Multiphase Fluid Dynamics in Microgravity
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Demin, V.A., Mizev, A.I., Petukhov, M.I. et al. Localization of Melt Components in a Crucible as a Result of Inserting Anisothermic Rod with Non-wettable Boundaries. Microgravity Sci. Technol. 32, 89–97 (2020). https://doi.org/10.1007/s12217-019-09744-4
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DOI: https://doi.org/10.1007/s12217-019-09744-4