Flat Flame Olympics: Test Problem A

Abstract

This report discusses a test problem for a computer program for numerically solving the equations governing a laminar, premixed, one-dimensional flame. The problem was proposed by GAMM (Committee for Numerical Methods in Fluid Mechanics), and has been solved for presentation at a workshop at the Technical University, Aachen, Germany, 12-14 Oct. 1981. The test problem is an unsteady propagating flame with one-step chemistry and Lewis number different from unity. A code developed for steady state problems with elementary chemistry was modified to use the simplified transport and chemistry of the test problem and to follow the details of the transient solution. The problem is solved for six cases. The cases differ in the Lewis number chosen and the activation energy of the single reaction. The initial conditions used are the steady state solutions predicted by the simplified analytic method of asymptotic analysis. In most cases, the numerical solutions rapidly converge, and the steady state solutions are similar to the asymptotic solutions. However, in one case, with activation energy and Lewis number equal to two, the solution does not converge. Instead, large oscillations in the flame speed and the profiles occur.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA120566

Entities

People

  • Terence P. Coffee

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Chemical Reactions
  • Combustion
  • Differential Equations
  • Engineering
  • Equations
  • Flame Propagation
  • Fluid Mechanics
  • Heat Of Activation
  • Jet Propulsion
  • Mechanical Engineering
  • Mechanics
  • Military Research
  • Partial Differential Equations
  • Steady State
  • Thermal Conductivity
  • Universities
  • Workshops

Readers

  • Academic Conference Management
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.