University of Illinois Urbana-Champaign

Cellular instabilities sub-limit structures and edge-flames in premixed counterflows

Buckmaster, John D.; Short, Mark

Permalink

https://hdl.handle.net/2142/112602

Description

Title
Cellular instabilities sub-limit structures and edge-flames in premixed counterflows
Author(s)
  • Buckmaster, John D.
  • Short, Mark
Issue Date
1998-10
Keyword(s)
  • Cellular Instabilities
  • Sub-limit Structures
  • Edge-flames
  • Premixed Counterflows
Abstract
We examine twin premixed flames in a plane counterflow and uncover, in the parameter space, a hitherto unknown domain of cellular instability. This leads us to hypothesize that for small Lewis numbers a 20 steady solution branch bifurcates from the 10 solution branch at a neutral stability point located near the strain-induced quenching point. Solutions on this 2D branch are constructed indirectly by solving an initial value problem in the edge-flame context defined by the multiple-valued bistable 10 solution. Three kinds of solution are found: a periodic array of flame-strings; a single isolated flame-string; and a pair of interacting flame-strings. These structures can exist for values of strain greater than the 10 quenching value, corresponding to sublimit solutions.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 895
  • 1998-6021
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112602
Sponsor(s)/Grant Number(s)
AFOSR; NASA-Lewis Research Center
Copyright and License Information
Copyright 1998 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.