Accession Number:

AD0847480

Title:

Analysis of Number of Eigenvalues Needed When Computing Temperatures for Multilayer Cylinders Using the Exact Solution Method,

Descriptive Note:

Corporate Author:

NAVAL WEAPONS EVALUATION FACILITY ALBUQUERQUE NM

Personal Author(s):

• Thorn, Eva M.

Report Date:

1968-12-16

Pagination or Media Count:

116.0

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 andor cylinder compute eigenvalues and compute the Bessel functions. Author

Descriptors:

• (*GUIDED MISSILES
• NUCLEAR EXPLOSIONS)
• (*NUCLEAR WARHEADS
• VULNERABILITY)
• PARTIAL DIFFERENTIAL EQUATIONS
• BESSEL FUNCTIONS
• NUMERICAL ANALYSIS
• THERMAL CONDUCTIVITY
• COMPUTER PROGRAMS
• THERMAL RADIATION
• CYLINDRICAL BODIES

Subject Categories:

• Guided Missiles

Distribution Statement:

APPROVED FOR PUBLIC RELEASE