Mathematical modelling, determination and analysis of the thermostressed state in a thermosensitive three-layer hollow cylinder subjected to the convective-radiative heating
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Date
2015
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Publishing House of Lviv Polytechnic National University
Abstract
The stationary temperature distribution in a three-layer infinitely-long hollow cylinder is modeled and determined under the condition that the internal heat sources are distributed within the second layer in accordance to the parabolic law and the convective-radiative and convective heat exchange with the environment occurs on the inner and outer surfaces, respectively. The components of the thermostressed state were found and the effect, caused by the dependence of thermophysical and mechanical material properties on the temperature, along with the intensity of radiative heat exchange, in the distribution of the temperature and stress-strain state is analyzed. Змодельовано та визначено стацiонарний розподiл температури в тришаровому безмежному порожнистому цилiндрi, в другому шарi якого наявнi джерела тепла, розподiленi за параболiчним законом, а на внутрiшнiй та зовнiшнiй обмежувальних поверхнях вiдбуваються конвективно-променевий та конвективний теплообмiни вiдповiдно. Знайдено компоненти напружено-деформованого стану. Дослiджено вплив залежностi теплових та механiчних характеристик матерiалiв складових вiд температури, а також iнтенсивностi променевого теплообмiну на величину та характер розподiлу температури i компонент напружено-деформованого стану.
Description
Keywords
piecewise homogeneous cylinder, hollow cylinder, thermosensitive material, temperature, thermal stress, кусково однорiдний цилiндр, порожнистий цилiндр, термочутливий матерiал, температура, термальна напруженiсть
Citation
Kushnir R. M. Mathematical modelling, determination and analysis of the thermostressed state in a thermosensitive three-layer hollow cylinder subjected to the convective-radiative heating / R. M. Kushnir, V. S. Popovych, I. I. Rakocha // Mathematical Modeling and Сomputing. – 2015. – Volume 2, number 2. – Р. 160–175. – Bibliography: 6 titles.