EDN: WLKVOQ
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. – Lead Engineer.
Abstract
The article poses a one-dimensional non-stationary problem of heat conduction for a straight fin with an arbitrary profile and an energy release variable in the fin height. An analytical solution of the problem for a fin with a rectangular profile is obtained. As boundary conditions, the temperature of the base of the fin, which varies linearly over time, is set, and at the end of the fin, heat exchange occurs according to the Newton – Richmann law with the environment. The dependence of the energy release on the coordinate is approximated by the sum of exponential functions. The efficiency of the fin and the heat flow through the base of the fin are determined. 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. In the case when the energy release depends on the coordinate, the temperature of the fin is lower than with constant energy release corresponding to the average value by the fin height, the values of the other above-mentioned characteristics of the fin are higher with variable energy release. The calculations performed in the article demonstrated the effect of unevenness of the energy release in the fin height on its characteristics.
Keywords
surface finning, straight fin, rectangular profile, energy release variable in the fin height, heat flow, fin efficiency
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. 3, 3:21
