A Recursive Method for Determining Transient Temperature Distributions in a Hollow Cylinder with Nonsteady Boundary Conditions

摘要

Recursion equations are developed for solution of transient temperature distributions in an infinite hollow cylinder with nonsteady boundary conditions. The solution is shown to be applicable to any imposed boundary condition and is also shown to be able to handle the special case of the solid cylinder. A computer program is written and applied to two examples. A comparison of the numerical results with classical exact solutions reveals close agreement between the two types of solutions for the particular cases considered. (Author)