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Fizika Goreniya i Vzryva, 2011, Volume 47, Issue 2, Pages 23–29 (Mi fgv1079)  
This article is cited in 11 scientific papers (total in 11 papers)

Mathematical modeling of melting of nano-sized metal particles

A. V. Fedorov, A. V. Shulgin

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Citations (11)
Abstract: A physicomathematical model is developed to describe melting of nano-sized aluminum and gold particles within the framework of a single-phase Stefan problem with allowance for the experimentally established fact of melting temperature reduction with decreasing particle radius. The time of melting of aluminum and gold nanoparticles is determined as a function of the particle radius and ambient temperature. At identical ratios of the ambient temperature to the melting temperature, the ratio of the time of melting of aluminum particles to the time of melting of gold particles is found to remain approximately constant and equal to 4.
Keywords: mathematical modeling, nanoparticles, melting, Stefan problem.
Received: 17.04.2010
English version:
Combustion, Explosion and Shock Waves, 2011, Volume 47, Issue 2, Pages 147–152
DOI: https://doi.org/10.1134/S001050821102002X
Bibliographic databases:
Document Type: Article
UDC: 662.612.32:539.23
Language: Russian
Citation: A. V. Fedorov, A. V. Shulgin, “Mathematical modeling of melting of nano-sized metal particles”, Fizika Goreniya i Vzryva, 47:2 (2011), 23–29; Combustion, Explosion and Shock Waves, 47:2 (2011), 147–152
Citation in format AMSBIB
\Bibitem{FedShu11}
\by A.~V.~Fedorov, A.~V.~Shulgin
\paper Mathematical modeling of melting of nano-sized metal particles
\jour Fizika Goreniya i Vzryva
\yr 2011
\vol 47
\issue 2
\pages 23--29
\mathnet{http://mi.mathnet.ru/fgv1079}
\elib{https://elibrary.ru/item.asp?id=16364774}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2011
\vol 47
\issue 2
\pages 147--152
\crossref{https://doi.org/10.1134/S001050821102002X}
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  • https://www.mathnet.ru/eng/fgv/v47/i2/p23
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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