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Theory of unsteady heat conduction in multicomponent finite regions

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Übersicht

Es werden allgemeine Lösungen der Wärmeleitungsgleichung für einen starren, endlich ausgedehnten Körper beliebiger Gestalt angegeben. Der Körper ist aus einer beliebigen Anzahl isotroper Teilkörper aufgebaut, die untereinander einen unvollständigen thermischen Kontakt haben. Bei den Lösungen für die nichtstationären Temperaturverteilungen werden beliebige Wärmequellen, beliebige Anfangsbedingungen und zeitveränderliche Randbedingungen berücksichtigt. Es werden verschiedene Formen der Lösungen angegeben und es wird gezeigt, in welchen Fällen sich das allgemeine Problem vereinfacht behandeln läßt.

Summary

General solutions of the heat conduction equation are obtained analytically in a rigid, finite body of arbitrary shape and composed of an arbitrary number of isotropic components in imperfect thermal contact. The solutions for the unsteady temperature distributions incorporate arbitrary heat sources and initial conditions, and time-dependent boundary conditions. Various forms of the solutions are given and the reduction of the general problem to simpler ones is indicated.

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References

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Author notes

  1. N. Y. Ölçer

    Present address: Dept. of Mechanical & Aerospace Engineering, Illinois Institute of Technology, 60616, Chicago, Illinois, USA

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    1. N. Y. Ölçer
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    Ölçer, N.Y. Theory of unsteady heat conduction in multicomponent finite regions. Ing. arch 36, 285–293 (1968). https://doi.org/10.1007/BF00641173

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    • DOI: https://doi.org/10.1007/BF00641173

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