ANALYSIS OF HEAT TRANSFER IN A TWO-LAYER CIRCULAR CYLINDER: CONSTANT FLUX ON OUTER SURFACE AND ZERO ON INNER SURFACE,

Abstract

The one-dimensional time-dependent equation of heat conduction is solved analytically for an infinite two-layer circular cylinder which may have either a hollow or a solid core. The layers are in perfect thermal contact with a constant heat flux applied uniformly on the outside of the cylinder and zero heat flux on the inside. The solution for the temperature within each layer of the cylinder is in the form of Bessel functions or infinite series. It is found from the heat-conduction equation by using the method of separation of variables, by homogenizing the boundary conditions, by applying the boundary conditions, and by determining eigenvalues and eigenfuctions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 30, 1967
Accession Number
AD0663282

Entities

People

  • M. Elena Franklin

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Eigenvalues
  • Equations
  • Heat Flux
  • Heat Transfer
  • Infinite Series
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers