ANALYSIS OF HEAT TRANSFER IN A TWO-LAYER SLAB: CONSTANT FLUX ON ONE SURFACE AND ZERO FLUX ON OTHER SURFACE,

Abstract

The one-dimensional differential equation of heat conduction is solved for an infinite two-layer slab. The layers are in perfect thermal contact. The outer surface of the first layer receives a constant heat flux from its environment; the outer surface of the second layer does not have any heat flux leaving it. A formal application of the Laplace transform gives an analytic solution for the temperature distribution in the classic form of an infinite series. Roots of a transcendental equation needed for the series are included in Appendix A. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 31, 1964
Accession Number
AD0454926

Entities

People

  • Albert C. Giere
  • M. Elena Franklin

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Energy Transfer
  • Environment
  • Equations
  • Heat Flux
  • Heat Transfer
  • Infinite Series
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

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