PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY
Series: Nuclear and Reactor Constants

since 1971

Русский (РФ)

ISSN 2414-1038 (online)

CALCULATION  ANALYSIS OF NON-STATIONARY CHARACTERISTICS OF A STRAIGHT FIN OF A PARABOLIC PROFILE WITH VARIABLE THERMOPHYSICAL PROPERTIES OF THE FIN MATERIAL AND A VARIABLE HEAT TRANSFER COEFFICIEN

EDN: YGSFJA

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 – Lead Engineer.

Abstract

The article poses a one-dimensional non-stationary problem of heat conduction for a straight fin with an arbitrary profile taking into account the variability of energy release over the height of the fin and the temperature dependence of the parameters – the thermophysical properties of the fin material and the heat transfer coefficient from the fin to the environment. A numerical solution of the problem for a fin with a parabolic profile and an analytical solution of the problem for a similar fin with constant parameters are obtained. When obtaining an analytical solution to the problem, the dependence of energy release on the coordinate is approximated by a polynomial. The linear heat flow through the base of the fin, the efficiency of the fin and the surface build-up coefficient kb are determined. When calculating the heating (cooling) of a body with a finned surface, the heat transfer coefficient should be increased by kb times. To determine the characteristics of a fin with constant parameters, it is advisable to take the values ​​of the fin material properties and the heat transfer coefficient corresponding to the temperature of the fin base. With variable parameters, the fin temperature is higher than with constant parameters, and the values of the other above-mentioned fin characteristics are higher with constant parameters. In this paper, the relative deviations of the characteristics of the fin with variable and constant parameters were obtained. The calculations performed in the article demonstrated the influence of the variability of the parameters on the fin characteristics.  

Keywords
surface finning, straight fin, parabolic profile, variable properties, variable heat transfer coefficient, variable energy release, heat flux, fin efficiency

Article Text (PDF, in Russian)

References

UDC 536.21

Problems of Atomic Science and Technology. Series: Nuclear and Reactor Constants, 2026, no. 1, 1:20