Abstract
We consider flame front propagation in channel geometries. The steady state solution in this problem is space dependent, and therefore the linear stability analysis is described by a partial integro-differential equation with a space dependent coefficient. Accordingly it involves complicated eigenfunctions. We show that the analysis can be performed to required detail using a finite order dynamical system in terms of the dynamics of singularities in the complex plane, yielding detailed understanding of the physics of the eigenfunctions and eigenvalues.
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© 2015 Springer International Publishing Switzerland
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Kupervasser, O. (2015). Using of Pole Dynamics for Stability Analysis of Premixed Flame Fronts: Dynamical Systems Approach in the Complex Plane. In: Pole Solutions for Flame Front Propagation. Mathematical and Analytical Techniques with Applications to Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-18845-4_3
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DOI: https://doi.org/10.1007/978-3-319-18845-4_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18844-7
Online ISBN: 978-3-319-18845-4
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