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Journal of Engineering Mathematics

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12-12-2017

Stagnation-point spray flame ignition by an isothermal surface

Authors: G. Kats, J. B. Greenberg

Published in: Journal of Engineering Mathematics | Issue 1/2018

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Abstract

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.

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Title: Stagnation-point spray flame ignition by an isothermal surface
Authors: G. Kats
J. B. Greenberg
Publication date: 12-12-2017
Publisher: Springer Netherlands
Published in: Journal of Engineering Mathematics / Issue 1/2018
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-017-9947-1

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