Pole-Dynamics in Unstable Front Propagation: The Case of The Channel Geometry

  • Oleg KupervasserEmail author
Part of the Mathematical and Analytical Techniques with Applications to Engineering book series (MATE)


We investigate the problem of flame propagation. This problem is studied as an example of unstable fronts that wrinkle on many scales. The analytic tool of pole expansion in the complex plane is employed to address the interaction of the unstable growth process with random initial conditions and perturbations. We argue that the effect of random noise is immense and that it can never be neglected in sufficiently large systems. We present simulations that lead to scaling laws for the velocity and acceleration of the front as a function of the system size and the level of noise, and analytic arguments that explain these results in terms of the noisy pole dynamics. We makes detailed description of excess number of poles in system, number of poles that appear in the system in unit of time, life time of pole. It allows us to understand dependence of the system parameters on noise.


System Size Flame Front Unstable Mode Premix Flame Noise Amplitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Transist Video LLCMoscowRussia

Personalised recommendations