Stagnation-point spray flame ignition by an isothermal surface

We present a theory of stagnation-point spray flame ignition by an isothermal hot surface. A mixture of fuel droplets and air flowing against an isothermal hot surface (such as a hot ignition probe) is considered. The spray of droplets is modelled using the sectional approach, and a mono-sectional c...

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Bibliographic Details
Published inJournal of engineering mathematics Vol. 110; no. 1; pp. 181 - 194
Main Authors Kats, G., Greenberg, J. B.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.06.2018
Springer Nature B.V
Subjects
Applications of Mathematics
Chemical reactions
Computational Mathematics and Numerical Analysis
Droplets
Fuel sprays
Ignition
Mathematical and Computational Engineering
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Parameters
Stagnation
Theoretical and Applied Mechanics
Stagnation-point flow
Ignition
Spray flame
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Summary:We present a theory of stagnation-point spray flame ignition by an isothermal hot surface. A mixture of fuel droplets and air flowing against an isothermal hot surface (such as a hot ignition probe) is considered. The spray of droplets is modelled using the sectional approach, and a mono-sectional case is adopted for simplicity. A single global chemical reaction is assumed for the case when ignition occurs. The mathematical analysis makes use of a small parameter that is exploited for an asymptotic approach. The analysis produces a criterion for ignition that includes effects of the flow field, the reactants and the fuel spray-related parameters. Numerical computations reveal the way in which the spray impacts on whether ignition will occur or not.
ISSN:0022-0833
1573-2703
DOI:10.1007/s10665-017-9947-1