Analytical Two-dimensional Solutions For Heat
Transfer In A System With Rectangular Fin
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
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