Application of the Heat Balance Integral to Conduction Phase Change Problems,

Abstract

The problem of heat conduction with phase change--often called the Stefan problem--includes some of the most intractable mathematical areas of heat transfer. Exact solutions are extremely limited and approximate methods are widely used. This report discusses the collocation method for the heat balance integral approximation. The method is applied to some standard problems of phase change--Neumann's problem--and a new solution is presented for the case of surface convection for a semi-infinite body. Numerical results are given for soil systems and also for materials of interest in latent heat thermal storage. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1981
Accession Number
ADA112813

Entities

People

  • Virgil J. Lunardini

Organizations

  • Cold Regions Research and Engineering Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cold Regions
  • Differential Equations
  • Energy
  • Energy Storage
  • Engineering
  • Equations
  • Fluid Mechanics
  • Heat Balance
  • Heat Energy
  • Heat Flux
  • Heat Of Fusion
  • Heat Transfer
  • Latent Heat
  • Melting
  • Phase Transformations
  • Surface Temperature
  • Thermal Conductivity

Fields of Study

  • Mathematics

Readers

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