Flame stretch


In combustion, flame stretch is a quantity which measures the amount of stretch of the flame surface due to curvature and due to the outer velocity field strain. The concept of flame stretch was introduced by Karlovitz in 1953. George H. Markstein studied flame stretch by treating the flame surface as a hydrodynamic discontinuity. The flame stretch is also discussed by Bernard Lewis and Guenther von Albe in their book. All these discussions treated flame stretch as an effect of flow velocity gradients. The stretch can be found even if there is no velocity gradient, but due to the flame curvature. So, the definition required a more general formulation and its precise definition was first introduced by Forman A. Williams in 1975 as the ratio of rate of change of flame surface area to the area itself
When, the flame is stretched, otherwise compressed. Sometimes the flame stretch is defined as non-dimensional quantity
where is the laminar flame thickness and is the laminar propagation speed of unstretched premixed flame.