โ Scribed by J.W. Dold; O.S. Kerr; I.P. Nikolova
No coin nor oath required. For personal study only.
The discovery of a new class of Navier-Stokes solutions representing steady periodic stretched vortices [l] offers a useful test-bed for examining interactions between flames and complex flow-fields. After briefly describing these vortex solutions and their wide-ranging parameterisation in terms of wavelength and amplitude, this article examines their effect on flames of constant normal propagation speed as observed through numerical solutions of an eikonal equation. Over certain ranges of vortex amplitude and flame-speed, a corridor of enhanced flame passage is seen to be created as a leading flame-tip manages to leap-frog between successive vortices. However, for large enough amplitudes of vorticity or small enough flame-speeds, the flame fails to be able to benefit from the advection due to the vortices. It is shown that the leading tips of such flames are effectively trapped by the stretched vortices.
๐ SIMILAR VOLUMES
Flame propagation through an array of vortices was studied with a model which incorporated the variation of the local burning velocity with stretch. Assuming incompressible flow, the mean burning velocities were calculated and compared to those of the Huygens limit. It was found that stretch causes
The propagation of a premixed flame through a large-scale vortical flow field is studied numerically by solving a front propagation equation governing the evolution of a scalar field whose zero-level surface defines the location of a self-propagating interface. The flame front is considered to propa