Two - Dimensional Temperature Field in a Semi-Infinite Finned Wall

In this paper, two-dimensional heat transfer in a semi-infinite wall with fins of
rectangular profile has been investigated. The conduction equations of the wall and fins
are solved simultaneously by a numerical method. The principal parameters of the
problem are the fin spacing, length, and fin-to-wall conductivity ratio. In this
investigation, the effect of these parameters on two-dimensional temperature field of the
wall and the fins, and on the fin performance has been discussed. The results indicate
that the temperature depression caused by the multifin array is larger than that of the
single-fin arrangement. Moreover, reduction of the fin spacing, increase in fin length and
thermal conductivity all have an enhancing effect on temperature depression. Finally,
the fin performance is directly proportional to the length, spacing, and thermal
conductivity of the fins.