Details of talk
|Title||My tale of two flames – bi-stability in travelling flame fronts|
|Presenter||Harvinder Sidhu (University of New South Wales)|
|Author(s)||Zhejun Huang, Harvi Sidhu, Isaac Towers, Zlatko Jovanoski, Vladimir Gubornov and Richard Pennifold|
|Session||Applied Mathematics/Industrial Mathematics|
We consider a diffusional-thermal model with two-step competitive reactions for premixed combustion wave propagation in one spatial dimension. Although the rates of the reactions are distinct, both reactions occur simultaneously and feed of the same reactant. Numerical investigation of the flame speed of the system for certain parameter values show the existence of regions where two stable traveling combustion wave solutions co-exist – solutions pertaining to the fast and slow branches. A hysteresis type phenomenon exists, and we show that by altering the initial conditions, one can move from one solution branch to the other. Regions of complex pulsating combustion waves were also uncovered.