AN EXACT SOLUTION OF THE TRANSIENT TEMPERATURE DISTRIBUTION IN A SPHERICAL REGION SUBJECTED TO AN ARBITRARY HEAT FLUX

Abstract

An exact solution to the heat conduction equation is developed for a solid spherical region subjected to an arbitrary time-independent surface heat flux. It is assumed that the thermal properties are independent of temperature and that no sources or sinks exist in the region. It is shown that the solution is valid for heated, cooled, or thermally insulated regions.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1965
Accession Number
AD0476190

Entities

People

  • Richard A. Matula

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Differential Equations
  • Eigenvalues
  • Energy
  • Equations
  • Free Flight
  • Heat Energy
  • Heat Flux
  • Heat Transfer
  • Integrals
  • Materials
  • Phase Transformations
  • Thermal Conductivity
  • Thermal Diffusivity
  • Thermal Properties
  • Thermodynamics

Readers

  • Calculus or Mathematical Analysis
  • Thermal Physics or Thermal Science.

Technology Areas

  • Microelectronics