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Eine Methode zur Berechnung quasistationärer Temperaturzustände bei gesteuerten Wärmeleitvorgängen in festen Körpern

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Summary

In a recent paperVodička solves a special problem of heat conduction with local and time-dependent boundary conditions. As the method does not seem very suitable for solving problems of this kind, the solution for the most general case is given. As an example the problem treated byVodička is solved, and the equality of both results is shown.

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Literaturverzeichnis

  1. V. Vodička,Circular Cylinder Under Periodic Fluctuations of Temperature, Z. angew. Math. Phys.8, 1 (1957).

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  2. H. Jäckel,Mathematische Behandlung gesteuerter Abkühl- und Anwärmvorgänge, Ing.-Arch.26, 2 (1958).

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  3. T.-S. Chow,On a Problem of Heat conduction with Time-Dependent Boundary Conditions, Z. angew. Math. Phys.8, 6 (1957).

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  4. Gröber, Erk undGrigull,Wärmeübertragung, Teil I C, 2 (Berlin, Göttingen und Heidelberg 1955).

  5. A. Kneschke,Über gesteuerte Abkühl- und Anwärmvorgänge bei festen Körpern, Ing.-Arch.24, 2 (1956).

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  6. R. Courant undD. Hilbert,Methods of Mathematical Physics, I, chap.5 (New York and London 1953).

  7. E. Goursat,Cours d'Analyse Mathématique, III, chap. 33 (Paris 1942), S. 524.

  8. G. N. Watson,Theory of Bessel Functions (Cambridge 1952).

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Authors and Affiliations

  1. Institut für angewandte Mathematik der Bergakademie, Freiberg, Sachsen, Deutschland

    Hans Jäckel

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  1. Hans Jäckel
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Jäckel, H. Eine Methode zur Berechnung quasistationärer Temperaturzustände bei gesteuerten Wärmeleitvorgängen in festen Körpern. Journal of Applied Mathematics and Physics (ZAMP) 10, 133–142 (1959). https://doi.org/10.1007/BF01600521

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  • DOI: https://doi.org/10.1007/BF01600521

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