Abstract

This paper concerns modeling of the evolution of the intermittency region between two weakly miscible phases due to temporal and spatial variations of its characteristic length scale. First, the need for a more general description allowing for the evolution of the intermittency region is rationalized. Afterwards, results of the previous work (Wacławczyk T., 2017, On a relation between the volume of fluid, level-set and phase field interface models, Int. J. Multiphas. Flow, Vol. 97) are discussed in the context of sharp interface models known in the literature and new insight into droplet coalescence mechanism recently recognized in molecular dynamics studies (Perumanath S., Borg M.K., Chubynsky M.V., Sprittles J.E., Reese J.M., 2019, Droplet coalescence is initiated by thermal motion, Phys. Rev. Lett., Vol. 122). Finally, physical and numerical models extending the applicability of the equilibrium solution to the case when the intermittency region could also be in the non-equilibrium state are introduced and verified.

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