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Heat Transfer with a Free Boundary Moving within a Concentrated Thermal Capacity

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Numerical Treatment of Free Boundary Value Problems / Numerische Behandlung freier Randwertaufgaben

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Abstract

The finite difference algorithms are described for the numerical solution of a plane-parallel and an axially symmetric thermal problem with free boundaries moving within concentrated thermal capacities. Numerical illustrations are offered.*

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References

  1. A. Fasano, M. Promicerio and L. Rubinstein. A model problem for heat conduction with a free boundary in a concentrated capacity. To appear in J.I.M.A.

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  2. L. Rubinstein. Application of the integral equation technique to the solution of several Stefan problems. Proc. of the seminar on free boundary problems, held in Pavia in September-October, 1979, Vol. 1, 417–436.

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  3. A.N. Tichonov, 1938. Functional equations of Volterra type and their applications to certain problems of mathematical physics. Bjull. Moscov. Gos. Univ. Ser. A. Mat. Mech. no. 9 (Russian or French).

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Author information

Authors and Affiliations

  1. School of Applied Science and Technology, The Hebrew University of Jerusalem, Israel

    L. Rubinstein

Authors
  1. L. Rubinstein
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Technische Universität Clausthal, D-3392, Clausthal-Zellerfeld, Germany

    J. Albrecht

  2. Institut für Angewandte Mathematik, Universität Hamburg, Bundesstrasse 55, D-2 Hamburg 13, Germany

    L. Collatz

  3. Institut für Mathematik III, Freie Universität Berlin, Arnimallee 2-6, D-1 Berlin 33, Germany

    K.-H. Hoffmann

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© 1982 Springer Basel AG

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Rubinstein, L. (1982). Heat Transfer with a Free Boundary Moving within a Concentrated Thermal Capacity. In: Albrecht, J., Collatz, L., Hoffmann, KH. (eds) Numerical Treatment of Free Boundary Value Problems / Numerische Behandlung freier Randwertaufgaben. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 58. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6563-0_20

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  • DOI: https://doi.org/10.1007/978-3-0348-6563-0_20

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6565-4

  • Online ISBN: 978-3-0348-6563-0

  • eBook Packages: Springer Book Archive

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