Physics – Fluid Dynamics
Scientific paper
2001-06-25
Phys. Fluids 14 (2002) 1166-1181
Physics
Fluid Dynamics
29 pages 4 figures LaTex
Scientific paper
10.1063/1.1447912
A nonlinear equation describing curved stationary flames with arbitrary gas expansion $\theta = \rho_{{\rm fuel}}/\rho_{{\rm burnt}}$, subject to the Landau-Darrieus instability, is obtained in a closed form without an assumption of weak nonlinearity. It is proved that in the scope of the asymptotic expansion for $\theta \to 1,$ the new equation gives the true solution to the problem of stationary flame propagation with the accuracy of the sixth order in $\theta - 1.$ In particular, it reproduces the stationary version of the well-known Sivashinsky equation at the second order corresponding to the approximation of zero vorticity production. At higher orders, the new equation describes influence of the vorticity drift behind the flame front on the front structure. Its asymptotic expansion is carried out explicitly, and the resulting equation is solved analytically at the third order. For arbitrary values of $\theta,$ the highly nonlinear regime of fast flow burning is investigated, for which case a large flame velocity expansion of the nonlinear equation is proposed.
Kazakov Kirill A.
Liberman Michael A.
No associations
LandOfFree
Nonlinear equation for curved stationary flames does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlinear equation for curved stationary flames, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear equation for curved stationary flames will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-194365