Analytical determination of heat flow shape factors for composite, prismatic bars of doubly-connected cross section.

Abstract

Cylindrical or prismatic configurations are used in many engineering situations (nuclear, mechanical, etc.). Oddly shaped, doubly-connected geometries are required in some applications, and generated in general computer-oriented solutions by the research engineer. The title problem is solved in the present paper using an approximate conformal mapping approach. It is shown that the calculated shape factors are in good agreement with those obtained using a finite element code.