Abstract
Employing a new class of functions, obtained from the refinement of a previous technique, the following steady-state heat transfer problems are solved: (1) A prismatic rectangular bar is cooled or heated by a fluid flowing in the circular cutouts of the bar. (2) Heat transfer in a rectangular region having uniformly distributed heat sources in the circular inserts of different thermal conductivity. (3) Heat conduction in a multiple hole rectangular bar having different inner and outer boundary temperatures. It is assumed that the properties of the materials involved are temperature independent. Numerical results for the cases of rectangular regions with 4 and 8 cavities are presented.
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