Nonperturbative approach to the nonlinear dynamics of two-dimensional premixed flames.
The problem of a nonperturbative description of unsteady 2D premixed flames with arbitrary gas expansion is addressed. By considering the flame as a surface of discontinuity with an arbitrary local burning rate and gas velocity jumps, we show that the flame front evolution can be determined without having to solve the flow equations in the bulk. A system of integro-differential equations is obtained, which relates fresh gas velocity at the front and the front position, thus yielding a closed nonperturbative description of the spontaneous flame dynamics.
Laboratoire de Combustion et de Détonique, CNRS/ENSMA, 1 avenue Clément Ader, 86961 Futuroscope, Poitiers, France.
Hazem
H
El-Rabii
Guy
G
Joulin
Kirill A
KA
Kazakov