Two variants of the method of successive approximations for the solution of the nonlinear problems of heat conduction are tested by the example of the stationary problem of heat conduction for a thermosensitive hollow cylinder under convective-radiant heat exchange with the environment. We perform numerical investigations of the influence of the temperature dependence of the heat-transfer coefficients and emissivity factors on the distribution of the temperature field and parameters of the stress-strain state caused by it.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 54, No. 4, pp. 151–158, October–December, 2011.
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Popovych, V.S., Vovk, O.M. & Harmatii, H.Y. Investigation of the static thermoelastic state of a thermosensitive hollow cylinder under convective-radiant heat exchange with environment. J Math Sci 187, 726–736 (2012). https://doi.org/10.1007/s10958-012-1097-4
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DOI: https://doi.org/10.1007/s10958-012-1097-4