Potential-flow models for channelled two-dimensional premixed flames around near-circular obstacles
| Autor: | Joulin, G., Denet, B., El-Rabii, H. |
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| Rok vydání: | 2009 |
| Předmět: | |
| Zdroj: | Phys. Rev. E 81(1), 016314 (2010) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevE.81.016314 |
| Popis: | The dynamics of two-dimensional thin premixed flames is addressed in the framework of mathematical models where the flow field on either side of the front is piecewise incompressible and vorticity-free. Flames confined in channels with asymptotically-straight impenetrable walls are considered. Beside a few free propagations along straight channels, attention is focused on flames propagating against high-speed flows and positioned near a round central obstacle, or near two symmetric bumps protruding inward. Combining conformal maps and Green's functions, a regularised generalisation of Frankel's integro-differential equation for the instantaneous front shape in each configuration is derived, and solved numerically. This produces a variety of real looking phenomena: steady fronts (symmetric or not), noise-induced sub-wrinkles, flash-back events and breathing fronts in pulsating flows. Perspectives and open mathematical/physical problems are finally evoked. Comment: LaTeX, 17 pages, 7 figures, revised version |
| Databáze: | arXiv |
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