23 citations · 51 across the 11 of their papers we have counts for
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Resolvent methods for steady premixed flame shapes governed by the Zhdanov-Trubnikov equation
Gaëtan Borot, Bruno Denet, Guy Joulin
Using pole decompositions as starting points, the one parameter (-1 =< c < 1) nonlocal and nonlinear Zhdanov-Trubnikov (ZT) equation for the steady shapes of premixed gaseous flame…
Wrinkled flames and geometrical stretch
Bruno Denet, Guy Joulin
Localized wrinkles of thin premixed flames subject to hydrodynamic instability and geometrical stretch of uniform intensity (S) are studied. A stretch-affected nonlinear and nonloc…
Premixed Flame Propagation in Curved Channels
Hazem El-Rabii, Guy Joulin, Kirill A. Kazakov
A theory of flame propagation in curved channels is developed within the framework of the on-shell description of premixed flames. Employing the Green function appropriate to the g…
Potential-flow models for channelled two-dimensional premixed flames around near-circular obstacles
G. Joulin, B. Denet, H. El-Rabii
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 incompressib…
Stability analysis of confined V-flames. I. Analytical treatment of the high-velocity limit
Hazem El-Rabii, Guy Joulin, Kirill A. Kazakov
The problem of linear stability of confined V-flames with arbitrary gas expansion is addressed. Using the on-shell description of flame dynamics, a general equation governing propa…
On-Shell Description of Unsteady Flames
Guy Joulin, Hazem El-Rabii, Kirill A. Kazakov
The problem of non-perturbative description of unsteady premixed flames with arbitrary gas expansion is solved in the two-dimensional case. Considering the flame as a surface of di…