Analysis of Heat Transfer in a Four-Layer Slab: Constant Flux Entering the Outside Surface and Zero Flux Leaving the Innermost Surface,

Abstract

The one-dimensional time-dependent equation of heat conduction is solved for an infinite four-layer slab. The conventional Laplace Transform technique is not employed, but rather the method of separation of variables is applied to a novel eigenfunction expansion of the initial temperature distribution. Boundary conditions considered are constant heat flux entering the outside surface of the body and zero heat flux leaving the innermost surface. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 20, 1969
Accession Number
AD0856905

Entities

People

  • Eva M. Thorn

Tags

DTIC Thesaurus Topics

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

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Microwave Engineering.
  • Plasma Physics / Magnetohydrodynamics