EDN: MBLQVT
Authors & Affiliations
Levchenko V.A.1, Kascheev M.V.1, Aksenov I.A.2
1 The Limited Liability Company “Simulation Systems Ltd.”, Obninsk, Russia
2 Branch Centeratomtechenergo JSC Atomtechenergo, Moscow, Russia
Levchenko V.A. – Director, Cand. Sci. (Tech.).
Kascheev M.V. – Chief Researcher, Dr. Sci. (Tech.). Contacts: 133, Lenin avenue, Obninsk, Kaluga region, Russia, 249035. Tel.: +7 (48439) 6-03-61; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
Aksenov I.A. – Engineer of the 1st Category.
Abstract
The article is devoted to solving a two-dimensional stationary problem of heat conduction in an annular fin of a rectangular profile and determining the influence of energy release on its characteristics. A comparison of the fin characteristics obtained using one-dimensional and two-dimensional calculations was made. An analytical solution of a two-dimensional stationary problem of heat conduction in an annular fin with a rectangular profile and continuously operating heat sources is obtained by applying the method of finite integral transformations. The efficiency of the fin and the heat flow through the base of the fin are determined. The energy release in the fin increases its efficiency in comparison with the efficiency of the fin in the absence of energy release, and also reduces the heat flow. The restriction by the values of energy release in the fin is found as condition for the applicability of the finning. The linear heat flow through the base of the fin must be greater than zero. If the linear heat flow is less than zero, the fin plays the opposite role: the flow is directed in the reverse side. In the article, an expression is obtained for the surface build-up coefficient kb. When calculating the heating (cooling) of a body with a finned surface, the heat transfer coefficient should be increased by kb times. The calculations performed in the article demonstrated the effect of energy release on the characteristics of the fin. The efficiency of the fin, the linear heat flow through the base of the fin and the surface build-up coefficient in the two-dimensional calculation differ downward from the corresponding characteristics in the one-dimensional calculation using the same initial data.
Keywords
surface finning, energy release, extended surface, annular fin, rectangular profile, the efficiency of the fin, heat flow, two-dimensional problem of heat conduction, method of finite integral transformations, modified Bessel functions
Article Text (PDF, in Russian)
References
- Kalinin E.K., Dreytser G.A., Jarkho S.A. Intensifikatsiya teploobmena v kanalakh [Intensification of heat transfer in the channels]. Moscow, Mashinostroenie Publ., 1990. 208 p.
- Subbotin V.I., Ibragimov M.Kh., Ushakov P.A., Bobkov V.P., Zhukov A.V., Yur’ev Yu.S. Gidrodinamika i teploobmen v atomnykh energeticheskikh ustanovkakh [Hydrodynamics and heat transfer in nuclear power plants]. Moscow, Atomizdat Publ., 1975. 408 p.
- Dreytser G.A., Gomon V.I., Aronov I.Z. Sravnitel’noe issledovanie velichiny otlozheniy v trubakh s kol’tsevymi turbulizatorami i v gladkikh trubakh kozhukhotrubchatykh apparatov [Comparative study of the value of deposits in pipes with annular turbulators and in smooth pipes of shell-and-tube apparatuses]. Promyshlennaya teplotekhnika – Industrial Heat Engineering, 1981, vol. 3, no. 6, pp. 36–42.
- Vilemas Yu.V., Voronin G.I., Dzyubenko B.V. et al. Intensifikatsiya teploobmena: Temat. sb. Seriya: Uspekhi teploperedachi, 2. Pod red. prof. A.A. Zhukauskasa i prof. E.K. Kalinina [Intensification of heat exchange: Successes of heat transfer, 2. Ed. A.A. Zhukauskas, E.K. Kalinin]. Vil’nyus, Mokslas Publ., 1988. 188 p.
- Migay V.K. Povyshenie effektivnosti sovremennykh teploobmennikov [Improving the efficiency of modern heat exchangers]. Leningrad, Energiya Publ., 1980. 144 p.
- Mikhaylov A.I., Borisov V.V., Kalinin E.K. Gazoturbinnye ustanovki zamknutogo tsikla [Closed-cycle gas turbine installations]. AN SSSR Publ., 1962. 148 p.
- Shneyder P. Inzhenernye problemy teploprovodnosti [Engineering problems of thermal conductivity]. Moscow, Izdatel’stvo inostrannoy literatury Publ., 1960. 478 p.
- Mikheev M.A., Mikheeva I.M. Osnovy teploperedachi [The basics of heat transfer]. Moscow, Energiya Publ., 1977. 344 p.
- Kirillov P.L., Bogoslovskaya G.P. Teplomassoobmen v yadernykh energeticheskikh ustanovkakh: Uchebnik dlya vuzov [Heat-and-mass transfer in nuclear power plants. Textbook for universities]. Moscow, Energoatomizdat Publ., 2000. 456 p.
- Kirillov P.L., Yur’ev Yu.S., Bobkov V.P. Spravochnik po teplogidravlicheskim raschetam (yadernye reaktory, teploobmenniki, parogeneratory) [Handbook on thermal-hydraulic calculations (nuclear reactors, heat exchangers, steam generators)]. Moscow, Energoatomizdat Publ., 1990. 360 p.
- Kutateladze S.S. Osnovy teorii teploobmena [The basics of heat exchange theory]. Moscow, Atomizdat Publ., 1979. 416 p.
- Tsvetkov F.F., Grigor’ev B.A. Teplomassoobmen: Uchebnoe posobie dlya vuzov [Heat-and-mass transfer. Study guide for universities]. Moscow, Izdatel’stvo MEI Publ., 2005. 550 p.
- Levchenko V.A., Kashcheev M.V., Aksenov I.A. Opredelenie kharakteristik pryamogo rebra pryamougol'nogo profilya s energovydeleniem po dvumernoy statsionarnoy modeli [Determination of the characteristics of a straight fin of a rectangular profile with energy release by the two-dimensional stationary model]. Voprosy atomnoy nauki i tekhniki. Seriya: yaderno-reaktornye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2023, no. 4, pp. 191–202. Available at: https://www.vant.ippe.ru/images/pdf/2023/issue2023-4-191-202.pdf (accessed 25.12.2023).
- Koshlyakov N.S., Gliner E.B., Smirnov M.M. Differentsial’nye uravneniya matematicheskoy fiziki [Differential equations of mathematical physics]. Moscow, Gosudarstvennoe izdatel’stvo fiziko-matematicheskoy literatury Publ., 1962. 768 p.
- Lans Dzh.N. Chislennye metody dlya bystrodeystvuyushchikh vychislitel’nykh mashyn [Numerical methods for high-speed computers]. Moscow, Izdatel’stvo inostrannoy literatury Publ., 1962. 208 p.
- Piskunov N.S. Differentsial’noe i integral’noe ischisleniya. Т. 2 [Differential and integral calculuses. Vol. 2]. Moscow, Nauka Publ. Glavnaya redaktsiya fiziko-matematicheskoy literatury, 1976. 576 p.
- Каmке Spravochnik po obyknovennym differentsial’nym uravneniyam [Handbook on ordinary differential equations]. Moscow, Nauka Publ. Glavnaya redaktsiya fiziko-matematicheskoy literatury, 1971. 576 p.
- Smayt V. Elektrostatika i elektrodinamika [Electrostatics and electrodynamics]. Moscow, Izdatel’stvo inostrannoy literatury, 1954. 604 p.
- Kurosh A.G. Kurs vysshey algebry [Course of higher algebra]. Moscow, Nauka Publ. Glavnaya redaktsiya fiziko-matematicheskoy literatury, 1975. 432 p.
UDC 536.21
Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2024, no. 1, 1:17
