Analytical treatment of 2D steady flames anchored in high-velocity streams

Details Analytical treatment of 2D steady flames anchored in high-velocity streams Analytical treatment of 2D steady flames anchored in high-velocity streams

2009-02-25

arxiv.org/abs/0902.4379v1

Physics

Fluid Dynamics

15 pages, 6 figures

Scientific paper

The problem of burning of high-velocity gas streams in channels is revisited. Previous treatments of this issue are found to be incomplete. It is shown that despite relative smallness of the transversal gas velocity, it plays crucial role in determining flame structure. In particular, it is necessary in formulating boundary conditions near the flame anchor, and for the proper account of the flame propagation law. Using the on-shell description of steady anchored flames, a consistent solution of the problem is given. Equations for the flame front position and gas-velocity at the front are obtained. It is demonstrated that they reduce to a second-order differential equation for the front position. Numerical solutions of the derived equations are found.

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