ANALYSIS OF HEAT TRANSFER IN A THREE-LAYER HOLLOW CYLINDER: CONSTANT RADIAL FLUX ENTERING THE OUTSIDE SURFACE AND ZERO FLUX LEAVING THE INNERMOST SURFACE,

Abstract

The one-dimensional time-dependent equation of heat conduction in cylindrical coordinates is solved for an infinite three-layer hollow cylinder. The conventional Laplace transform technique is not employed, but rather the method of separation of variables is applied with a novel eigenfunction expansion of the initial temperature distribution. Boundary conditions considered are a constant flux entering the outside surface of the cylinder in the direction of a radial vector and a zero flux leaving the innermost surface. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 15, 1967
Accession Number
AD0666106

Entities

People

  • Eva M. Thorn

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Differential Equations
  • Eigenvalues
  • Eigenvectors
  • Energy Transfer
  • Equations
  • Heat Transfer
  • Mathematical Analysis
  • Mathematics
  • Real Variables

Readers

  • Calculus or Mathematical Analysis
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers
  • Structural Dynamics.