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ANALYTICAL SOLUTION FOR TEMPERATURE FIELD IN RECTANGULAR PLATE WITH ALTERNATING INTERNAL SOURCE USING RAPID DECOMPOSITIONS

A. D. Chernyshov, A. N. Marchenko, V. V. Goryainov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.1. С. 53-58.

The approximate explicit analytical solution is obtained using rapid decompositions. It is shown that the solution is radically changed at a certain critical value of the parameter defining the heat release and proportional to temperature. The curves were obtained for distribution of temperature and heat flows.

Keywords: analytical solution, temperature, internal self-heating, rectangular shape, rapid decompositions.







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