Analysis of Number of Eigenvalues Needed When Computing Temperatures for Multilayer Cylinders Using the Exact Solution Method,
Abstract
The eigenvalues required for the eigenfunction solutions of the typical partial differential heat-conduction equations for n-layer slabs and cylinders have been analyzed in detail to ascertain the following: the neighborhood of the smallest eigenvalue, the number of eigenvalues required, the number of decimal places needed, and the neighborhood of the largest eigenvalue which will give valid temperatures in the final solutions. The purpose of the analysis was to write a computer program that will solve for the eigenvalues in the least possible time. The computer program will do the following: compute temperatures for a one-layer slab and/or cylinder; compute eigenvalues; and compute the Bessel functions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 16, 1968
- Accession Number
- AD0847480
Entities
People
- Eva M. Thorn