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Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series

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On analytical methods for calculating the steady-state temperature field in a circular cylindrical shell

https://doi.org/10.29235/1561-2430-2021-57-4-435-446

Abstract

The present paper presents two analytical methods for calculating the steady-state temperature field in a circular cylindrical shell. The effectiveness of the methods in terms of accuracy in comparison with the classical approach, based on Bessel functions, is analyzed. The proposed analytical algorithms contain relatively simple computational operations. Since they do not use special functions, the algorithms can be used to solve a wide range of problems.

About the Authors

A. I. Kashpar
Belarusian-Russian University
Belarus

Alexandr I. Kashpar – Assistant Rector

43, Mira Ave., 212000, Mogilev



V. N. Laptinskiy
Belarusian-Russian University
Belarus

Valery N. Laptinskiy – Dr. Sc. (Physics and Mathematics), Professor

43, Mira Ave., 212000, Mogilev



References

1. Laptinskii V. N., Kashpar A. I. Constructive Analysis of Boundary Value Problem de la Vallee-Poussin for Linear Matrix Equation Lyapunov Second Order. Part I. Preprint. Mogilev, Belarusian-Russian University Publ., 2015. 48 р. (in Russian).

2. Kashpar A. I., Laptinskiy V. N. Solvability and construction of solution to the de la Vallee-Poussin problem for the second-order matrix Lyapunov equation with a parameter. Vestsі Natsyianal’nai akademіі navuk Belarusі. Seryia fіzіkamatematychnykh navuk = Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics series, 2019, vol. 55, no. 1, pp. 50–61 (in Russian). https://doi.org/10.29235/1561-2430-2019-55-1-50-61

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6. Isaev S. I., Kozhinov I. A., Kofanov V. I., Leont’ev A. I., Mironov B. M., Nikitin V. M., Petrazhitskii G. B., Khvostov V. I., Chukaev A. G., Shishov E. V., Shkola V. V. Theory of Heat and Mass Transfer. Moscоw, Vysshaia shkola Publ., 1979. 495 p. (in Russian).

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ISSN 1561-2430 (Print)
ISSN 2524-2415 (Online)