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Integral correlations for analytical solutions to generalized equation of transient heat conduction.

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Abstract

The integral correlations for analytical solutions to the generalized equation of transient heat conduction simultaneously in the Cartesian coordinate grid, cylindrical and spherical coordinate systems for the limited fields of the canonical type were constructed. The theory of integral transformations and the method of Green's functions were developed.

About the Authors

E. M. Kartashov
M.V. Lomonosov Moscow State University of Fine Chemical Technologies, 86, Vernadskogo pr., Moscow 119571
Russian Federation


N. A. Mikhailova
M.V. Lomonosov Moscow State University of Fine Chemical Technologies, 86, Vernadskogo pr., Moscow 119571
Russian Federation


References

1. Карташов Э.М. Аналитические методы в теории теплопроводности твердых тел. - М.: Высшая школа, 2001. 540 с.

2. Карташов Э.М. Аналитические методы решения краевых задач нестационарной теплопроводности в областях с движущимися границами: аналит. обзор, посвященный 275-летию РАН // Изв. РАН. Энергетика. 1999. № 5. С. 3-35.


For citation:


Kartashov E.M., Mikhailova N.A. Integral correlations for analytical solutions to generalized equation of transient heat conduction.. Fine Chemical Technologies. 2011;6(3):106-110. (In Russ.)

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ISSN 2410-6593 (Print)
ISSN 2686-7575 (Online)