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
Belarus
Alexandr I. Kashpar – Assistant Rector
43, Mira Ave., 212000, Mogilev
V. N. Laptinskiy
Belarusian-Russian University
Belarus
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
3. Laptinskii V. N. Constructive Analysis of Controlled Oscillatory Systems. Minsk, Institute of Mathematics of the National Academy of Sciences of Belarus Publ., 1998. 300 p. (in Russian).
4. Laptinskii V. N., Kashpar A. I. Constructive Analysis of Boundary Value Problem de la Vallee-Poussin for Linear Matrix Equation Lyapunov Second Order. Part II. Preprint. Mogilev, Belarusian-Russian University Publ., 2015. 40 р. (in Russian).
5. Avduevskii V. S., Galitseiskii B. M., Glebov G. A., Danilov Iu. I., Dreitser G. A., Kalinin E. K., Koshkin V. K., Mikhailov T. V., Molchanov A. M., Ryzhov Iu. A., Solntsev V. P. Fundamentals of Heat Transfer in Aviation and Rocket and Space Technology. Moscоw, Mashinostroenie Publ., 1970. 624 p. (in Russian).
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).
7. Kartashov E. M. Analytical Methods in the Theory of Thermal Conductivity of Solids. Moscоw, Vysshaia shkola Publ., 2001. 553 p. (in Russian).
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