How to Homogenize a Nonlinear Diffusion Equation (e.g.) Stefan's Problem.

Abstract

This report discusses the homogenization of a Stefan problem (i.e., heat conduction with change of phase) when the structure is epsilon-periodic and proves that the constitutive laws of the limit medium do not depend upon the boundary conditions and are those of an anisotropically heat conducting medium which undergoes a change of phase at each temperature of change of phase of the original substances.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1980
Accession Number
ADA086379

Entities

People

  • Alain Damlamian

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Agreements
  • Boundaries
  • Classification
  • Composite Materials
  • Conductivity
  • Contracts
  • Diffusion
  • Energy
  • Equations
  • Heat Energy
  • Latent Heat
  • Materials
  • Mathematics
  • Numerical Analysis
  • Specific Heat
  • Thermal Conductivity
  • United States

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Thermal Physics or Thermal Science.