Author(s)

A. Buikis, M. Buike & S. Guseinov

Abstract

A two-dimensional heat transfer in the element of a periodic system with a rectangular fin by steady-state conditions has been studied analytically. Firstly we formulate the two-dimensional statement of steady-state heat transfer through the element of the periodical system with the rectangular fin. Then the well known one-dimensional statement of the problem is examined. Further we solve the system of ordinary differential equations, which is obtained from the twodimensional problem statement by the method of conservative averaging, and we receive an approximate solution. Finally we receive the exact solution of the two-dimensional problem by using Green functions for two rectangles (the wall and the fin). This solution is

Keywords