Transient pressure effects in the evolution equation for premixed flame fronts (Q1331369)

A nonlinear evolution equation for a scalar field \(G({\mathbf x},t)\) is derived, whose level surface \(G_ 0\)=const represents the interface of a thin premixed flame propagating in a flow field. The equation is an extension of earlier analyses where a flame evolution equation was derived for slightly wrinkled flames such as the front can be described by a single-valued function of a normal coordinate. That formulation excluded situations where the mean flame front has an arbitrary shape in space. Here the more general situation is analysed by using a two-length- scale asymptotic analysis.