Dynamics of droplet collision and flame-front motion

Three physical phenomena were experimentally and computationally investigated in this research, namely the dynamics of head-on droplet-droplet collision, head-on droplet-film collision, and laminar premixed flames, with emphasis on the transition between bouncing and merging of the liquid surfaces for the droplet collision studies, and on the susceptibility to exhibit hydrodynamic instability for the flame dynamics. All three problems share the common feature of having an active deformable interface separating two flow regions of disparate densities, and as such can be computationally described using the adopted immersed boundary technique. Experimentally, the droplets (∼300 mum diameter) were generated using the ink jet printing technique, and imaged using stroboscopy for the droplet-droplet collision events and high-speed cine-photography for the droplet-film collision events.; For the study of droplet-droplet collision, the instant of merging was experimentally determined and then used as an input in the computational simulation of the entire collision event. The simulation identified the differences between collision and merging at small and large Weber numbers, and satisfactorily described the dynamics of the inter-droplet gap including the role of the van der Waals force in effecting surface rupture.; For the study of droplet-film collision, extensive experimental mapping showed that the collision dynamics is primarily affected by the droplet Weber number (We) and the film thickness scaled by the droplet radius (H), that while droplet absorption by the film is facilitated with increasing droplet Weber number, the boundary of transition is punctuated by an absorption peninsula, in the We-H space, within which absorption is further facilitated for smaller Weber numbers. Results from computation simulation revealed the essential dependence of the collision dynamics on the restraining nature of the solid surface, the energy exchange between the droplet and the film, and the coherent motion of the gas-liquid interfaces. Partial absorption with the emission of a secondary droplet of smaller size was also observed and explained.; For the study of flame dynamics, the immersed-boundary method developed for multiphase flows was first modified by noting the difference between the singular properties on the flame surface and multiphase boundary, leading to the development of a secondary criterion for the immersion technique in order to satisfy sufficient conservation and avoid spurious pressure oscillations in the flame movement. Furthermore, an improved weighting scheme was adopted for the proper interpolation of the propagation velocity at the interface.; The modified numerical method was then applied to study the influence of imposed vortices on the propagation and structure of laminar premixed flames. Results showed that, for moderate or weak vortex strength, the vortices serve as initiation sources for the hydrodynamic instability, which then takes over as the primary mechanism for flame wrinkling and the generation of the post-flame counter-rotating vortices. However, for sufficiently strong vortices, the flame surface is convoluted by the imposed vortices, while the post-flame vorticities are generated by the baroclinic torque as a consequence of the pressure gradients associated with the vortices and the hydrodynamic cells.