Teplofizika vysokikh temperatur
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Teplofizika vysokikh temperatur, 1975, Volume 13, Issue 1, Pages 137–145 (Mi tvt8876)  
Heat Transfer, Fluid Mechanics, Gas and Plasma

Solution of a two-dimensional stefan problem in a quasistationary approximation

Yu. A. Samoilovich
Full-text PDF (309 kB)
Abstract: The article presents a discussion about an approximate method of solving a two-dimensional Stefan problem for the case of the solidification of castings having cross sections bounded by piecewise-smooth curves. The solution is carried out in a quasistationary approximation. The method is illustrated by examples of regions bounded by corners, second-order curves, epicycloids, hypocycloids, and squares with rounded-off corners.
Received: 22.05.1973
Bibliographic databases:
Document Type: Article
UDC: 533.7
Language: Russian
Citation: Yu. A. Samoilovich, “Solution of a two-dimensional stefan problem in a quasistationary approximation”, TVT, 13:1 (1975), 137–145; High Temperature, 13:1 (1975), 114–122
Citation in format AMSBIB
\Bibitem{Sam75}
\by Yu.~A.~Samoilovich
\paper Solution of a two-dimensional stefan problem in a quasistationary approximation
\jour TVT
\yr 1975
\vol 13
\issue 1
\pages 137--145
\mathnet{http://mi.mathnet.ru/tvt8876}
\transl
\jour High Temperature
\yr 1975
\vol 13
\issue 1
\pages 114--122
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0016444490}
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