EDN: RUAAOO
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. – Еngineer of the 1st Category.
Abstract
The article poses a one-dimensional non-stationary problem of heat conduction for an annular fin with an arbitrary profile in the presence of energy release in the fin. An analytical solution of the problem for a fin with a rectangular profile is obtained by the Laplace integral transformation method. 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 efficiency of the fin and the heat flow through the base of the fin are determined. The energy release in the fin decreases its efficiency in comparison with the efficiency of the fin in the absence of energy release, and 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 presence of energy release, the use of the finning is most effective when the parameter μ, which depends on the Biot number and sizes of the fin, is in the vicinity of its optimal value. 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, energy release, extended surface, annular fin, rectangular profile, the efficiency of the fin, heat flow, non-stationary problem of heat conduction, Laplace integral transformation method
Article Text (PDF, in Russian)
References
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UDC 536.21
Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2025, no. 1, 1:18
