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The method of dual integral equations for analysis of heat transfer processes

    P. A. Mandrik Affiliation

Abstract

The paper is devoted to the study of a heat conduction equations with mixed boundary conditions on a surface of a researched solid. The method based on the Laplace and Hankel transforms is suggested for the first time to reduce such differential problems to dual integral equations and to obtain the solution in the close form. Method allows to determine analytically regularities of time‐space development of appropriate temperature fields.


Dualiųjų integralinių lygčių metodas šilumos pernešimo procesų analizėje


Santrauka


Straipsnyje nagrinejamos šilumos pernešimo lygtys su mišriomis kraštinemis salygomis tiriamo kūno paviršiuje. Metodas remiasi Laplaso ir Hankelio trasformacijomis, kurios suveda ši diferencialini uždavini i dualiasias integralines lygtis. Metodas leidžia analitiškai apibrežti ivairiu temperatūriniu lauku laikini ‐ erdvini kitima.


First Published online: 14 Oct 2010

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How to Cite
Mandrik, P. A. (2001). The method of dual integral equations for analysis of heat transfer processes. Mathematical Modelling and Analysis, 6(2), 280-288. https://doi.org/10.3846/13926292.2001.9637167
Published in Issue
Dec 15, 2001
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