CONDUCTION SHAPE FACTORS OF LONG POLYGONAL FIBERS IN A MATRIX

Abstract

The shape factors for steady state, two-dimensional heat transfer across long polygonal fibers in a matrix are computed by a numerical conformal transformation procedure. The coordinate transformation functions in the complex plane and the heat conduction shape factors are expressed in a closed form, but the final results require numerical integration. The semi-analytic approach is a general solution, in the sense that it encompasses many specific geometries such as concentric square regions and concentric hexagonal regions.

Notes

Address correspondence to Professor Greg F. Naterer, Department of Mechanical Engineering, University of New Brunswick, Box 4400, Fredericton, New Brunswick E3B 5A3, Canada.