平行圆柱面导热形状因子的保角变换法

Conformal transformation of steady heat conduction between two parallel eccentric cylindrical walls

本文采用保角变换将两个平行偏心的等温圆柱面之间的稳态导热变换为同心同轴的圆柱面之间的导热,得到稳态导热情况下偏心圆筒壁、两平行圆柱面以及地下埋管与地面之间等三种实际情况下的导热形状因子,为简化热流量计算提供方便,为对其机理的认识拓展新思路.

The steady heat conduction between two parallel eccentric cylindrical walls is researched using the conformal transformation.By changing the two eccentric cylinders into two concentric cylinders,shape factors of heat conduction between two surfaces of eccentric cylinder’s inside and outside walls,two parallel cylinders outside walls and the ground and buried pipe walls are obtained.This work should be beneficial for the calculation of heat transfer rate for correlated problems and presents a novel formulation for studies of such problems.