APPROXIMATE HEAT CONDUCTION SOLUTIONS FOR NONPLANAR GEOMETRIES,

Abstract

The temperature distribution in the region exterior to a spherical cavity whose surface temperature is constant is determined using Biot's variational principle for heat conduction and Goodman's heat balance integral technique. The procedure for applying the variational principle to problems of non-planar geometries is discussed. The heat flux at the surface of the cavity is evaluated by the two methods and compared with the exact solution. This paper complements a previous paper in that the applicability of the two above mentioned approximate techniques to heat conduction problems with non-planar geometries is treated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0419885

Entities

People

  • Thomas J. Lardner

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Energy
  • Geometry
  • Heat Balance
  • Heat Energy
  • Heat Flux
  • Integrals
  • Mathematics
  • Nonplanar
  • Surface Temperature
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.