Theoretical Formulation of Collision Rate and Collision Efficiency of Hydrodynamically Interacting Cloud Droplets in Turbulent Atmosphere

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Growth of Cloud Droplets in a Turbulent Environment (2013, methodology): “These earlier studies are limited in terms of their quantitative capabilities either because of the assumptions made to simplify the equation of motion of droplets or because of the inaccurate methods employed to describe the turbulent fluctuations (see Wang et al. 2005).”
Notes on state-of-the-art investigations of aerosol effects on precipitation: a critical review (2009, background): “Recent studies (Pinsky et al 2007, 2008a, Wang et al 2005, Xue et al 2008a, 2008b, Franklin et al 2005) showed that in deep clouds turbulence increases the collision rate between droplets several times, i.e. the collision rate between droplets is determined largely by turbulence and not by gravity.”
Exact regularized point particle method for multiphase flows in the two-way coupling regime (2014, background): “The approach, by including inter-particle hydrodynamic interactions, is of relevance for any application where collision phenomena are crucial, as in droplet collisions in clouds, see e.g. Wang et al. (2005b).”