Problems of Heat Conduction for an Angular Region with an Internal Source |
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Authors: | A. D. Chernyshov |
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Affiliation: | (1) Voronezh State Technological Academy, Voronezh, Russia |
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Abstract: | Exact solutions of nonstationary problems of heat conduction have been obtained for an unbounded rectangular region when the opening angle is equal to /(2n + 1), where n is any natural number. By passage to the limit it has been shown that no stationary regime is possible for the rectangular region in the case of action of a constant internal source. The exact solution of the stationary problem for an angular region with an arbitrary opening angle 0 has been given. It has been proved that in the presence of a constant heat source the stationary regime is possible just for the acute angle 0 /2, while for the right or obtuse angles 0 /2 the stationary regime is impossible, since the temperature increases without bound at internal points. |
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