Email this article 
Investigation of That Heat Transfer during Laminar Fluid Flow in a Circular Tube
- Authors: Vidin Y.V.1, Zlobin V.S.1
-
Affiliations:
- Siberian Federal University
- Issue: No 6 (2025)
- Pages: 94-102
- Section: Articles
- URL: https://medbiosci.ru/0002-3310/article/view/364539
- DOI: https://doi.org/10.7868/S3034649525060055
- ID: 364539
Cite item
Open Access
Access granted
Subscription Access
Abstract
The problem of heat exchange during the flow of liquid in a circular tube has been studied in sufficient detail and is widely covered in the scientific literature. The solution of this type of thermophysical problems is obtained in the form of infinite series and is presented in detail in the monograph [2]. In this case, it is necessary to determine the eigenvalues and eigenfunctions depending on the number of Bio. The article examines the roots of the char acteristic equation and suggests simple algebraic equations for their definition. Based on the formulas obtained for the eigenvalues µ , µ , µ rather narrow ranges of changes in their values are indicated depending on the value of the Bio number. The formulas obtained make it possible to determine the smallest and largest values of eigenvalues in a certain range of Bio numbers. The result ing numerical values of the eigenvalues have sufficient accuracy for engineering calculations.
About the authors
Yu. V. Vidin
Siberian Federal University
Email: zlobinsfu@mail.ru
Krasnoyarsk
V. S. Zlobin
Siberian Federal University
Email: zlobinsfu@mail.ru
Krasnoyarsk
References
- Brodov Yu.M., Aronson K.V., Blinkov S.N. et al. Heat exchangers of power plants. Ekaterinburg. Socrates Publishing House, 2003. 965 p. (In Russ.)
- Galin N.M., Kirillov L.P. Heat and mass transfer in nuclear power engineering: Textbook for universities. Moscow: Energoatomizdat, 1987. 376 p. (In Russ.)
- Petukhov B.S., Genin L.G., Kovalev S.A. Heat transfer in nuclear power plants. Edited by B.S. Petukhov. Textbook for universities. Moscow: Atomizdat, 1974. 408 p. (In Russ.)
- Zhukauskas A.A. Convective transfer in heat exchangers. Moscow: Nauka Publ., 1982. 472 p. (In Russ.)
- Byrd R., Stewart V., Latfut E. Transfer phenomena. Moscow: Khimiya, 1974. 688 p. (In Russ.)
- Koshkin V.K., Kalinin E.K., Dreitzer G.A., Yarkho S.A. Unsteady heat transfer. Moscow: Mashinostroenie, 1973. 328 p. (In Russ.)
- Ginzburg I.P. Theory of resistance and heat transfer. Leningrad: Leningrad University Press, 1979. 375 p. (In Russ.)
- Targ S.M. The main tasks of the theory of laminar flows. State publishing House. Technical and theoretical literature, 1948. (In Russ.)
- Petukhov B.S. Heat transfer and resistance during laminar fluid flow in pipes. Moscow: Energiya, 1967. 412 p. (In Russ.)
- Vidin Yu.V., Ivanov V.V., Medvedev G.G. Calculation of heat transfer during laminar fluid flow in channels. Krasnoyarsk, KrPI. 1971. 136 p. (In Russ.)
- Vidin Yu.V., Ivanov V.V., Kazakov R.V. Engineering methods for calculating heat transfer problems. Krasnoyarsk, Siberian Federal University. 2014. 167 p. (In Russ.)
- Vidin Yu.V., Zlobin V.S., Ivanov V.V., Medvedev G.G. Engineering methods for calculating nonlinear heat transfer problems during laminar fluid flow in channels. Krasnoyarsk, Siberian Federal University. 2015. 155 p. (In Russ.)
- Aski R., Roy R., Andrews J. Special functions / Translated from English. Edited by Yu. A. Neretin. Moscow: ICNMO, 2013. 652 p. (In Russ.)
- Madelung E. Mathematical apparatus of physics. Moscow: Nauka, 1968. 618 p. (In Russ.)
- Nikiforov A.F., Uvarov V.B. Special functions of mathematical physics. Moscow: Nauka, 1984. 344 p. (In Russ.)
- Lebedev N.N. Special functions and their applications. 2nd ed. Moscow, 1963. (In Russ.)
Supplementary files
