Heat flow shape factors for circular rods vith regular polygonal concentric inner bore.

Abstract

The title problem is solved using an approximate conformal mapping approach. The results are in good agreement with those obtained using a finite element code. The study of diffusion and conduction through the walls of long, prismatic bars with concentric cylindrical holes is of interest in nuclear, mechanical and civil engineering, and several papers have been written on the subject [ 1 - 6 ] . The problem of heat flow through the walls of long, hollow cylinders with concentric inner, regular polygonal perforations is also of practical importance, but a very limited amount of information on it is available in the open technical literature. It is shown that a very simple solution of the problem is obtained when one uses a conform al mapping technique. The results agree rather well with values calculated using a finite element approach. Isothermal walls are presumed.