Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Physics of Metals and Metallography
Published in: Physics of Metals and Metallography 5/2022

01-05-2022 | THEORY OF METALS

Numerical Study of Nucleation and Solidification Processes in a Modified Melt

Author: V. N. Popov

Published in: Physics of Metals and Metallography | Issue 5/2022

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Numerical simulation of the solidification of a modified (Al–Cu) aluminum melt in a cylindrical crucible is performed. The model used describes thermodynamic processes, heterogeneous nucleation, and solidification of α and β components of the melt. A crystalline phase nucleates at the surface of spherical particles upon cooling of the melts below the liquidus temperature that changes in accordance with the concentration of dissolved alloying component. The relation between the supercooling and size of nuclei formed at the surface of nanosized particles is demonstrated. During cooling of the melt from the liquidus temperature to the eutectic temperature, the α component of the melt solidifies; during subsequent cooling, the eutectic solidification of the β component takes place. The nucleation conditions, solidification rate, and solidification time were found to differ substantially within the melt. The reliability of the suggested model is confirmed by comparison of numerical computation results with physical experiment data.
previous article On the Theory of Interdiffusion in Ternary Alloys: Concentration Dependences of Kinetics-Related Coefficients
next article Polarization Eigenchannels in a Magnetic Uncorrelated Disordered Medium

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
I. S. El-Mahallawi, A. Y. Shash, and A. E. Amer, “Nanoreinforced Cast Al–Si Alloys with Al2O3, TiO2 and ZrO2,” Nanopart. Met. 5, No. 2, 802–821 (2015).
2.
K. Borodianskiy, A. Kossenko, and M. Zinigrad, “Improvement of the mechanical properties of Al–Si alloys by TiC nanoparticles,” Metall. Mater. Trans. A 44, 4948–4953 (2013).CrossRef
3.
R. Lazarova, N. Bojanova, R. Dimitrova, V. Manolov, and I. Panov, “Influence of nanoparticles introducing in the melt of aluminum alloys on castings microstructure and properties.,” Int. J. Metalcast. 10, 466–476 (2016).CrossRef
4.
P. M. Kuzmanov, S. I. Popov, L. V. Yovkov, R. N. Dimitrova, A. N. Cherepanov, and V. K. Manolov, “Investigation the effect of modification with nanopowders on crystallization process and microstructure of some alloys,” AIP Conf. Proc. 1893, 030104(1–8) (2017).
5.
B. Chalmers, Principles of Solidification (Wiley, New York, 1964), p. 288.
6.
M. C. Flemings, Solidification Processing (McGraw-Hill, New York, 1974), p. 424.CrossRef
7.
D. Turnbull, “Formation of crystal nuclei in liquid metals,” J. App. Phys. 21, 1022–1028 (1950).CrossRef
8.
N. H. Fletcher, “Size effect in heterogeneous nucleation,” J. Chem. Phys. 29, No. 3, 572–576 (1958).CrossRef
9.
I. Maxwell and A. Hellawell, “A simple model for grain refinement during solidification,” Acta Metall. 23, No. 2, 229–237 (1975).CrossRef
10.
S. Popov, V. Manolov, P. Kuzmanov, and A. Cherepanov, “Mathematical model of crystallization of multicomponent alloy at presence of nanoparticles,” J. Mater. Sci. Technol. 22, No. 3, 167–174 (2014).
11.
B. B. Alchagirov and Kh. B. Khokonov, “Wettability of surfaces of solids by melts of alkali metals and alloys with their participation. Theory and research methods,” Teplofiz. Vys. Temp. 32, No. 4, 590–626 (1994).
12.
A. P. Kalinina, A. N. Cherepanov, V. A. Poluboyarov, and Z. A. Korotaeva, “A mathematical model of nucleation in liquid metals on ultradisperse ceramic particles,” Russ. J. Phys. Chem. A 75. No. 2, 227–233 (2001).
13.
A. I. Hienola, P. M. Winkler, P. E. Wagne, H. Vehkamaki, A. Lauri, I. Napari, and M. Kulmala, “Estimation of line tension and contact angle from heterogeneous nucleation experimental data,” J. Chem. Phys. 126, No. 9, 094705 (2007).CrossRef
14.
M. Qian and J. Ma, “Heterogeneous nucleation on convex spherical substrate surfaces: A rigorous thermodynamic formulation of Fletcher’s classical model and the new perspectives derived,” J. Chem. Phys. 130, 214709(1–7) (2009).
15.
A. M. Kats, “Improvement of the theory of heterogeneous crystallization of metals and choice of the nanomodifier particle sizes,” Crystallogr. Rep. 56, No. 2, 373–382 (2011).CrossRef
16.
M. Iwamatsu, “Line-tension-induced scenario of heterogeneous nucleation on a spherical substrate and in a spherical cavity,” J. Chem. Phys. 143, 014701(1–12) (2015).
17.
Y. Song, H. Jiang, L. Zhang, S. Li, J. Zhao, and J. He, “A model describing solidification microstructure evolution in an inoculated aluminum alloys,” Acta Metall. Sin. (Engl. Lett.). 34, 861–871 (2021).
18.
A. I. Trotsan, I. L. Brodetskii, and V. V. Kaverinskii, Modification of Iron-Carbon Melts with Dispersed Powders (LAP, Saarbrücken, 2012).
19.
V. N. Popov and A. N. Cherepanov, “Modeling of the alloy solidification modified by refractory nano-size particles,” Eur. Phys. J. Spec. Top. 229, No. 2–3, 467–474 (2021).CrossRef
20.
V. N. Popov and A. N. Cherepanov, “Modeling of nano-modified binary alloy crystallization processes,” Mat. Model. 31, No. 11, 89–101 (2019).
21.
M. Xue, Y. Heichal, S. Chandra, and J. Mostaghimi, “Modeling the impact of a molten metal droplet on a solid surface using variable interfacial thermal contact resistance,” Mater Sci. 42, 9–18 (2007).CrossRef
22.
R. C. Tolman, “The effect of droplet size on surface tension,” J. Chem. Phys. 17, 333–337 (1949).CrossRef
23.
A. N. Kolmogorov, “On the statistic theory of crystallization of metals,” Izv. Akad. Nauk SSSR, Ser. Matem. 1, No. 3, 355–359 (1937).
24.
J. W. Christian, The Theory of Transformations in Metals and Alloys (Pergamon, 2002), p. 1200.
25.
E. Scheil, “Bemerkungen zur schichtkristallbildung,“ Z. Metallkunde 34, 70–72 (1942).
26.
A. A. Samarskii and Nikolaev, B.S., Methods for Solving Grid Equations (Nauka, Moscow, 1978).
27.
V. E. Zinov’ev, Thermophysical Properties of Metals under High Temperatures (Metallurgiya, Moscow, 1989).
Metadata
Title
Numerical Study of Nucleation and Solidification Processes in a Modified Melt
Author
V. N. Popov
Publication date
01-05-2022
Publisher
Pleiades Publishing
Published in
Physics of Metals and Metallography / Issue 5/2022
Print ISSN: 0031-918X
Electronic ISSN: 1555-6190
DOI
https://doi.org/10.1134/S0031918X2205012X

Other articles of this Issue 5/2022

Physics of Metals and Metallography 5/2022 Go to the issue

STRUCTURE, PHASE TRANSFORMATIONS, AND DIFFUSION

Effect of Thermal Aging for up to 22 Thousand Hours on the Structural and Phase State of Ferritic–Martensitic Steels EK181 and ChS139

ELECTRICAL AND MAGNETIC PROPERTIES

Investigation of Electronic States and Magnetic Domain Structure of La1 – xSmxMn2Si2 (x = 0, 0.25) Layered Intermetallic Compounds by Resonant Photoemission Spectroscopy and Magnetic Force Microscopy

STRUCTURE, PHASE TRANSFORMATIONS, AND DIFFUSION

Structure and Properties of Al–4.5Mg–0.15Zr Compositions Alloyed with Er, Y, and Yb

STRENGTH AND PLASTICITY

Shock-Wave Loading and Spall Fracture of Textured Tungsten Samples: Experiment and Simulation

STRENGTH AND PLASTICITY

Development of Radiation Porosity in the Material of Fuel-Element Cladding Produced by Different Technologies for Fast Neutron Reactors and Its Influence on the Fuel Assembly Service Life in the BN-600 Reactor

STRENGTH AND PLASTICITY

Structure and Impact Strength of Weld Joints Manufactured from a Pipe Steel with the Use of Hybrid Laser-Arc Welding