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Drop impact onto wetted walls: an unsteady analytical solution for modelling crown spreading
Journal of Fluid Mechanics
An unsteady analytical solution is proposed to predict the spreading rate of the crown generated by an impacting droplet onto wetted walls. The modelling strategy is based on the direct integration of the boundary layer correction into the potential flow solution that leads to the well-established square-root time dependence. The original potential flow has the structure of an unsteady, stagnation point flow with decaying strength. For initial strengths of the potential flow $a_0 \geqslant 100\doi:10.1017/jfm.2022.69 fatcat:xzfldfr4ebbozgrbyqxratyfdq