EDN: FERYOM
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.1 – Director, Cand. Sci. (Tech.);
Kascheev M.V.1 – 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.2 – Еngineer of the 2d Category.
Abstract
The article is devoted to determining the effect of energy release in the straight fin of a trapezoidal profile on its characteristics. An analytical solution of the heat conduction problem in a straight fin with a trapezoidal profile and continuously operating heat sources is obtained. As boundary conditions, the temperature of the base of the fin is set, and at the end of the fin, heat exchange occurs according to the Newton – Richmann law with the environment. The heat conduction equation for the fin in question is an inhomogeneous modified Bessel equation. Its solution contains the Bessel functions of the imaginary argument of the first and second kind of zero order. 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 compared to 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.
Keywords
surface finning, fins with energy release, extended surface, straight fin of the trapezoidal profile, the efficiency of the fin, heat flow, heat conduction equation for a fin
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.
- SubbotinV.I., IbragimovM.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., Dorokhovich S.L., Zaytsev A.A. Kharakteristiki pryamogo rebra s energovydeleniem [Characteristics of a straight fin with energy release]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2021, no. 1, pp. 117–123. Available at: https://www.vant.ippe.ruimages/pdf/2021/issue2021-1-117-123.pdf (accessed 07.03.2023).
- Levchenko V.A., Kashcheev M.V., Dorokhovich S.L., Zaytsev A.A. Kharakteristiki kol’tsevogo rebra pryamougol’nogo profilya s energovydeleniem [Characteristics of an annular fin of a rectangular profile with energy release]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2021, no. 4, pp. 98–105. Available at: https://www.vant.ippe.ruimages/pdf/2021/issue2021-4-98-105.pdf (accessed 07.03.2023).
- Levchenko V.A., Kashcheev M.V., Dorokhovich S.L., Zaytsev A.A. Kharakteristiki pryamogo rebra parabolicheskogo ptofilya s energovydeleniem [Characteristics of a straight fin of a parabolic profile with energy release]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2022, no. 2, pp. 221–229. Available at: https://www.vant.ippe.ruimages/pdf/2022/issue2022-2-221-229.pdf (accessed 07.03.2023).
- Levchenko V.A., Kashcheev M.V., Dorokhovich S.L., Zaytsev A.A. Kharakteristiki pryamogo rebra trеugol’nogo profilya s energovydeleniem [Characteristics of a straight fin of a triangular profile with energy release]. Voprosy atomnoy nauki i tekhniki. Seriya: Yaderno-reaktornye konstanty – Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2022, no. 4, pp. 185–193. Available at: https://www.vant.ippe.ruimages/pdf/2022/issue2022-4-185-193.pdf (accessed 07.03.2023).
- Kuznetsov D.S. Spetsial’nye funktsii [Special functions]. Moscow, Vysshaya shkola Publ, 1965. 424 p.
- Prudnikov A.P., Brychkov Yu.A., Marichev O.I. Integraly i ryady. Spetsial’nye funktsii [Integrals and series. Special functions]. Moscow, Nauka Publ. Glavnaya redaktsiya fiziko-matematicheskoy literatury, 1983. 752 p.
UDC 536.21
Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2023, no. 2, 2:18
