Analysis of Combustion and Heat Transfer in a Porous Graphite Medium.

Abstract

The problem of a porous graphite fiber plate subject to combustion is formulated. The transient one-dimensional model leads to two heat transfer equations on the graphite and air, and a mass transfer equation on the oxygen. In addition to a combustion heat generation term, the heat transfer model includes the mechanisms of conduction, radiation between fibers, and convection due to induced air flow through the mat. The mass transfer model includes diffusion and convection mechanisms, as well as a combustion consumption term. The temperature dependency of the system parameters is taken into account. The resulting nonlinear, coupled partial differential equations are solved by a Galerkin formulation of the finite element method. A number of computer analysis results are presented. The results show the effects of initial conditions, plate thickness, fiber diameter and air flow rate on ignition and extinction. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1980
Accession Number
ADA092094

Entities

People

  • Costa Sozon Vatikiotis

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Chemical Reactions
  • Combustion
  • Composite Materials
  • Conduction (Heat Transfer)
  • Differential Equations
  • Engineering
  • Equations
  • Geometry
  • Heat Of Combustion
  • Heat Of Formation
  • Heat Transfer Coefficients
  • Laminates
  • Mechanical Engineering
  • Partial Differential Equations
  • Thermal Conductivity

Readers

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