Accession Number:

ADA125258

Title:

A Calculation of Wrinkled Flames.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Report Date:

1982-11-01

Pagination or Media Count:

19.0

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.

Subject Categories:

  • Numerical Mathematics
  • Combustion and Ignition

Distribution Statement:

APPROVED FOR PUBLIC RELEASE