A Calculation of Wrinkled Flames.

Abstract

In an earlier work, Sivashinsky derived a nonlinear integro-differential equation for spontaneous hydrodynamic instability of a plane flame front. The simplified form of that equation which describes a steady progressive wave of long period is reconsidered here. It is shown to represent a wrinkled flame front whose slope has a logarithmic singularity at each wrinkle. We have computed the flame profile and its speed of propagation more accurately than done previously by Michelson and Sivashinsky, and find that the increase in propagation speed due to wrinkling is in surprisingly good agreement with recent experimental findings.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1982
Accession Number
ADA125258

Entities

People

  • G. I. Sivashinsky
  • Geoffrey S. S. Ludford
  • H. V. Mcconnaughey

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Classification
  • Combustion
  • Contracts
  • Differential Equations
  • Equations
  • Flame Propagation
  • Flames
  • Geometry
  • Instability
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Nonlinear Analysis
  • Thermal Expansion

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Reinforced Composite Materials