Analytical and numerical modeling of steady periodic heat transfer in extended surfaces (Q1340703)

The paper studies theoretically periodic or oscillatory heat transfer processes occuring in extended surface, using both analytical and numerical approaches. The authors consider linear and nonlinear problems. For linear problems, straight and annular fin configurations are studied where profile shapes can be rectangular, trapezoidal, triangular, and convex parabolic. To study these problems, Laplace transform, finite differences, and boundary element method are employed. Periodic regimes involve oscillations base temperature, oscillating base heat flux, oscillating environment temperature, convection at the fin base through a fluid with oscillating temperature, and some combinations of these processes. Nonlinear problems considered here cover radiating and convecting- radiating fins, fins with variable thermal conductivity and coordinate dependent heat transfer coefficients, and systems with fin-to-fin, fin- to-base, and fin-to-environment radiative interactions. In this section, the authors use finite differences, finite elements, and series expansion methods. The paper is well prepared and is of high quality. The analysis is elegant, and the results are presented in many nice figures. In the references a lot of the first author's basic contributions to this topic are mentioned. The reviewer is of the opinion that this paper will give a new impetus to researchers engaged in heat transfer.