Conduction Shape Factor Models for Hollow Cylinders with Nonuniform Gap Spacing

摘要

An analytical conduction shape factormodel is developed for the two-dimensional annular region formed betweennconcentric isothermal cylinders in which the inner and outer boundaries have similar or different shapes. Themodelnis based on the equivalent circular annulus with amodified independent parameter to account for local variations innthe gap thickness. Validation of the model is performed using existing numerical data and analytical expressionsnfromthe literature for various geometries, including polygonal and rectangular cylinderswith a circular hole and thencircular cylinder with a polygonal hole. The root-mean-square difference between the data and themodel is less thann5% in all cases.