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Title:Cellular instabilities sub-limit structures and edge-flames in premixed counterflows
Author(s):Buckmaster, John D.; Short, Mark
Subject(s):Cellular Instabilities
Sub-limit Structures
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.
Issue Date:1998-10
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 895
Genre:Technical Report
Sponsor:AFOSR; NASA-Lewis Research Center
Rights Information:Copyright 1998 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    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.

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