Vortex ring interaction with buoyant droplet diffusion flame

In general droplet diffusion flames, the detachment of vortices from flame downstream tip decides the shedding/Pinch-off height. It is curious to see the effect of vortex ring additionally introduced to the droplet diffusion flame. The incident vortex ring is characterized by Vortex Reynolds number (Re_v). During vortex interaction, the flame tends to move above the equatorial plane of droplet with low Re_v and with increase in strain rate partial extinction happens at very high Re_v. The flame oscillations are observed while interaction of vortex which tends to increase the heat release intensity area. When the vortex moves away from the downstream point of flame, the oscillations tend to dampen. Buoyant diffusion flame behaviour is observed for before and after interaction with vortex. Flickering frequency of the flame follows (g/h)^1/2 for buoyant diffusion flame. But while Vortex interaction, an additional force is added to the system by vortex which leads to a low Richardson numberand scaling used for buoyant flame will not obey. Hence a new scaling is proposed which incorporate the vortex momentum effects instead of gravity, agrees with the experimental observations.