Numerical simulation of the structure formation and crystallization of foamed aluminum modified by nanosized particles

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Abstract

A mathematical model of crystallization of a foamed aluminum melt (Al–Si) containing modifying nanoscale particles, which is cooled under given heat removal conditions, is proposed. A numerical analysis of the formation dynamics of foamed metal has been performed, and the spherical pore sizes have been determined using a model of gas bubble growth in an aluminum melt. The boundaries of the cells surrounding the bubbles are defined in accordance to the experimental data available in the literature. The developed model demonstrates that the incorporation of nanosized refractory particles into the melt as modifying additives results in the crystal structure refinement and can contribute to the enhancement of the mechanical properties of the solidified metal.

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About the authors

V. N. Popov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences

Author for correspondence.
Email: popov@itam.nsc.ru
Russian Federation, Novosibirsk

A. N. Cherepanov

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences

Email: popov@itam.nsc.ru
Russian Federation, Novosibirsk

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Supplementary files

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2. Fig. 1. Diagram of bubble growth (1) in a cell (2). R is the bubble radius, Rc is the cell radius, 3 is the change in the concentration of dissolved gas C in the diffusion zone.

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3. Fig. 2. Change in the radius of a gas bubble until the end of growth (l) at CTiH2 = 1.5 wt.% (1) and CTiH2 = 0.5 wt.% (2).

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4. Fig. 3. Change in hydrogen concentration CB (a) and diffusion flux D(dC/dr) (b) on the bubble surface at CTiH2 = 1.5 wt.% (1) and CTiH2 = 0.5 wt.% (2).

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5. Fig. 4. Dependence of porosity Π on the amount of TiH2 powder introduced into the melt; l — experiment [17]; ™ — calculation results.

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6. Fig. 5. Change in melt temperature at CTiH2 = 1.5 wt.% (a) and CTiH2 = 0.5 wt.% (b): (1) a= 400 W/(m K), (2) a=200 W/(m K).

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7. Fig. 6. Change in temperature (1) and supercooling value (2) of the melt at CTiH2 = 1.5 wt.%, (a) a = 400 W/(m K), (b) a = 200 W/(m K). Dashed line is the liquidus temperature Tl.

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8. Fig. 7. Effect of heat removal intensity a on the primary grain size in solidified metal after modification at CTiH2 = 1.5 wt.% (1) and CTiH2 = 0.5 wt.% (2). o — calculation results.

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