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Heating and heat treatmwnt
Название The linear heat conduction problem for bodies with a regular shape under boundary conditions of the third kind
Автор I. A. Levitskiy
Информация об авторе

National University of Science and Technology “MISiS” (Moscow, Russia):

Levitskiy I. A., Cand. Eng., Assocoate Prof., Dept. “Power-efficient and resourcesaving industrial technologies”, e-mail: lewwwis@mail.ru

Реферат

The solution of the linear one-dimensional heat conduction problem for bodies with a regular shape — plate, cylinder, and ball — has been described. An algorithm was proposed and programmatically implemented in the VBA MS Office Excel 2003 environment for solving direct and inverse one-dimensional heat conduction problems. An algorithm for solving the direct and inverse heat conduction problems for a cylinder of finite height and a parallelepiped of finite dimensions (as applied to any point of these bodies specifi ed by the user) was also developed and software implemented.

Ключевые слова One-dimensional and multidimensional linear heat conduction problems, nomograms for heating a body, superposition principle, direct and inverse problems
Библиографический список

1. Lykov А. V. Heat conduction theory. Moscow: Vysshaya shkola, 1967. 600 p.
2. Arutyunov V. А., Bukhmirov V. V., Krupennikov S. А. Mathematical modeling of the thermal performance of industrial furnaces. Moscow: Metallurgiya, 1990. 239 p.
3. Vlasova Е. А., Zarubin V. S., Kuvyrkin G. N. Mathematical models of heat conduction processes: tutorial. Moscow: Izdatelstvo MGTU imeni N. E. Baumana, 2016. 124 p.
4. Karpovich D. S., Susha О. N., Korovkina N. P., Kobrinets V. P. Analytical and numerical methods for solving the heat equation. Trudy BGTU. 2015. No. 6. pp. 122–127.
5. Kudinov V. А., Kudinov I. V. Methods for solving parabolic and hyperbolic heat equations. Moscow: Knizhny dom «Librokom», 2012. 280 p.
6. Egorov V. I. Exact methods for solving heat conduction problems: tutorial. Saint-Peterburg: SPbGU ITMO, 2006. 48 p.
7. Arutyunov V. А., Krupennikov S. А., Levitsky I. А. Application of numerical methods for solving heat transfer problems. Laboratory practice. Moscow: MISiS, 2001. 75 p.
8. John H. Mathews. Computer Derivations of Numerical Differentiation Formulae (Classroom Notes). International Journal of Mathematics Education in Science and Technology. 2003. Vol. 34(2). pp. 280–287.
9. Jiin-Yuh, Jang Jun-Bo Huang. Optimization of a slab heating pattern for minimum energy consumption in a walking-beam type reheating furnace. Applied Thermal Engineering. 2015. Vol. 85. pp. 313–321.
10. Singh V. K., Talukdar P. Comparisons of different heat transfer models of a walking beam type reheat furnace. International Communications in Heat and Mass Transfer. 2013. Vol. 47. pp. 20–26.
11. Guangwu Tang, BinWu, Yufeng Wang et al. CFD modeling and validation of a dynamic slab heating process in an industrial walking beam reheating furnace. Applied Thermal Engineering. 2018. Vol. 132. pp. 779–789.
12. Guangwu Tang, BinWu, Dengqi Bai et al. Modeling of the slab heating process in a walking beam reheating furnace for process optimization. International Journal of Heat and Mass Transfer. 2017. Vol. 113. pp. 1142–1151.
13. Jiin-Yuh, Jang Jun-Bo Huang. Optimization of a slab heating pattern for minimum energy consumption in a walking-beam type reheating furnace. Applied Thermal Engineering. 2015. Vol. 85. pp. 313–321.
14. Sang Heon Han, Daejun Chang, Chang Young Kim. A numerical analysis of slab heating characteristics in a walking beam type reheating furnace. International Journal of Heat and Mass Transfer. 2010. Vol. 53. Iss. 19–20. pp. 3855–3861.
15. Mayr B., Prieler R., Demuth M. et al. CFD analysis of a pusher type reheating furnace and the billet heating characteristic. Applied Thermal Engineering. 2017. Vol. 115(25). pp. 986–994.
16. Landfahrer M., Schluck C. Numerical and experimental investigation of scale formation on steel tubes in a real-size reheating furnace. International Journal of Heat and Mass Transfer. 2019. Vol. 129. pp. 460–467.
17. Tang L., Liu J., Rong A., Yang Z. An effective heuristic algorithm to minimise stack shuffles in selecting steel slabs from the slab yard for heating and rolling. Journal of the Operational Research Society. 2001. Vol. 52(10). pp. 1091–1097.
18. Kurnosov V. V., Levitskii I. A., Pribytkov I. A. Heating of massive blanks at different rates in periodic furnaces. Steel in Translation. 2012. Vol. 42(9). pp. 682–686.
19. Kurnosov V. V., Levitskii I. A. Heating of blanks in accordance with a specified graph. Steel in Translation. 2012. Vol. 42(7). pp. 569–571.
20. Dorokhina O. G., Karvetskii A. A., Arutyunov V. A. et al. Simulation of the gas dynamics and heat transfer in a high-precision furnace. Steel in translation. 2012. Vol. 42(3). pp. 230–232.
21. Lange E. Innovative technological models for optimization of flat rolling. Chernye Metally. 2017. No. 9. pp. 42–45.
22. Reifferscheid М. Ideas, techniques and decisions for application of digital technologies in ferrous metallurgy. Chernye Metally. 2018. No. 6. pp. 62–67.

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