A Reactive Multi-Material First Order Numerical Model for Heat Conduction in Cylindrical Coordinates,

Abstract

A reactive multi-material, first order numerical model (known as HEAT) for heat conduction in cylindrical coordinates has been developed and tested. The model allows the inclusion of a maximum of three separate materials. A second order Taylor series expansion was employed in the development of the finite difference scheme within each single material layer. Matching conditions on the interfaces are determined to first order. The model employs a zero order Arrhenius burn function to describe the heat generated by the thermal decomposition of the reactive components. It also takes into account the latent heat of fusion for each material. External heat is introduced via a constant temperature boundary condition or a time dependent boundary condition. The model will permit restarts, although only in the cases were total decomposition of the reactive fraction has not occurred.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1987
Accession Number
ADA185429

Entities

People

  • J. A. Waschl

Organizations

  • Defence Science and Technology Group

Tags

Communities of Interest

  • Counter IED
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Computational Science
  • Decomposition
  • Difference Equations
  • Differential Equations
  • Energy
  • Equations
  • Explosives
  • Heat Energy
  • Heat Of Fusion
  • Heat Transfer
  • Heat Transmission
  • Latent Heat
  • Materials
  • Specific Heat
  • Thermal Conductivity
  • Two Dimensional

Readers

  • Combustion science or combustion engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)