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

• Autorzy: Makhorkin M , Makhorkin I. , Makhorkina T.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multilayer structures; solids of simple geometry; steady thermal state; temperature-dependent heat conduction factors; generalized functions

• Wydawca: Polish Academy of Sciences, Branch in Lublin
• Czasopismo: ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
• Rocznik: 2018
• Tom: Vol. 7, No 3
• Strony: 23--28
• Opis fizyczny: Bibliogr. 20 poz., rys., wz.

Twórcy

autor

Makhorkin M

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

autor

Makhorkin I.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

autor

Makhorkina T.

• Lviv National Agrarian University

Bibliografia

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• 18. Makhorkin M., Sulym H. 2010. On determination of the stress-strain state of a multi-wedge system with thin radial defects under antiplane deformation. Civil and environmental engineering reports, Vol. 5, 235–251.
• 19. Makhorkin M., Makhorkina T. 2017. Analytical determination of the order of stress field singularity in some configurations of multiwedge systems for the case of antiplane deformation. Econtechmod. An international quarterly journal, Vol. 6, No. 3, 45–52.
• 20. Makhorkin I. 2018. Generalized functions in the stationary heat conduction problems for thermosensitive multilayer structures of simple geometry. Modern Problems of Mechanics and Mathematics, Vol. 1, 184-185.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).