Gopinathan, S, Iurashev, D, Bigongiari, A and Heckl, MA (2018) Nonlinear analytical flame models with amplitude-dependent time-lag distributions. International Journal of Spray and Combustion Dynamics, 10 (4). pp. 264-276. ISSN 1756-8277

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Abstract

In the present work, we formulate a new method to represent a given Flame Describing Function by analytical expressions. The underlying idea is motivated by the observation that different types of perturbations in a burner travel with different speeds and that the arrival of a perturbation at the flame is spread out over time. We develop an analytical model for the Flame Describing Function, which consists of a superposition of several Gaussians, each characterised by three amplitude-dependent quantities: central time-lag, peak value and standard deviation. These quantities are treated as fitting parameters, and they are deduced from the original Flame Describing Function by using error minimisation and nonlinear optimisation techniques. The amplitude-dependence of the fitting parameters is also represented analytically (by linear or quadratic functions). We test our method by using it to make stability predictions for a burner with well-documented stability behaviour (Noiray's matrix burner). This is done in the time-domain with a tailored Green's function approach.

Item Type: Article
Additional Information: This is the final published version of the article (version of record). It first appeared online via Sage Publications at http://dx.doi.org/10.1177/1756827717728056 - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: flame transfer function, amplitude-dependence, multiple time-lags, Green's function, stability analysis
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Natural Sciences > School of Chemical and Physical Sciences
Depositing User: Symplectic
Date Deposited: 04 Oct 2017 13:36
Last Modified: 09 Jan 2019 09:24
URI: http://eprints.keele.ac.uk/id/eprint/4071

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