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1 ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

1 2018

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Determination of the stationary thermal state of simple geometry layered structures with themperature dependent heat conductivity factors

Makhorkin M, Makhorkin I., Makhorkina T.

ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes

2018

Vol. 7, No 3

23--28

An analytical-numerical method to determine the one-dimensional stationary thermal state of simple geometry multilayer structures for arbitrary dependences of heat-conductivity factors on temperature is proposed (the multilayer bodies of thermosensitive materials, referred to one of the classical orthogonal coordinate systems are considered, the thermal state caused by thermal load is characterized by a onedimensional stationary temperature field. Approbation of the methodology by studying the stationary thermal state of a two-layer cylinder is realized. The cases of existence of a closed-form analytic solutions for the nonlinear heat conduction problem are considered.