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Nonlinear nonstationary heat conduction problem for infinite circular
cylinder under a complex heat transfer taking into account the temperature
dependence of thermophysical characteristics of materials is solved numerically
by the method of lines. Directing it to the Cauchy’s problem for systems of
ordinary differential equations studied feature which takes place on the
cylinder axis. Taken into account the dependence on the temperature coefficient
of heat transfer that the different interpretation of its physical content
makes it possible to consider both convective and convective-ray or heat ray.
Using the perturbation method, the corresponding thermoelasticity problem
taking into account the temperature dependence of mechanical properties of the
material is construed. The influence of the temperature dependence of the
material on the distribution of temperature field and thermoelastic state of
infinite circular cylinder made of titanium alloy Ti-6Al-4V by radiant heat
transfer through the outer surface has been analyzed.