Conduction Shape Factor Models for Hollow Cylinders with Nonuniform Gap Spacing

摘要

An analytical conduction shape factor model is developed for the two-dimensional annular region formed between concentric isothermal cylinders in which the inner and outer boundaries have similar or different shapes. The model is based on the equivalent circular annulus with a modified independent parameter to account for local variations in the gap thickness. Validation of the model is performed using existing numerical data and analytical expressions from the literature for various geometries, including polygonal and rectangular cylinders with a circular hole and the circular cylinder with a polygonal hole. The root-mean-square difference between the data and the model is less than 5% in all cases.