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- Title
An Analytical Study on the Mechanism of Grouping of Droplets.
- Authors
Vaikuntanathan, Visakh; Ibach, Matthias; Arad, Alumah; Chu, Xu; Katoshevski, David; Greenberg, Jerrold Barry; Weigand, Bernhard
- Abstract
The condition for the formation of droplet groups in liquid sprays is poorly understood. This study looks at a simplified model system consisting of two iso-propanol droplets of equal diameter, D d 0 , in tandem, separated initially by a center-to-center distance, a 20 , and moving in the direction of gravity with an initial velocity, V d 0 > V t , where V t is the terminal velocity of an isolated droplet from Stokes flow analysis. A theoretical analysis based on Stokes flow around this double-droplet system is presented, including an inertial correction factor in terms of drag coefficient to account for large Reynolds numbers (≫1). From this analysis, it is observed that the drag force experienced by the leading droplet is higher than that experienced by the trailing droplet. The temporal evolutions of the velocity, V d (t) , of the droplets, as well as their separation distance, a 2 (t) , are presented, and the time t o at which the droplets come in contact with each other and their approach velocity at this time, Δ V d 0 , are calculated. The effects of the droplet diameter, D d 0 , the initial droplet velocity, V d 0 , and the initial separation, a 20 on t o and Δ V d 0 are reported. The agreement between the theoretical predictions and experimental data in the literature is good.
- Subjects
STOKES flow; TERMINAL velocity; DRAG force; REYNOLDS number; DRAG coefficient; SPRAY nozzles
- Publication
Fluids, 2022, Vol 7, Issue 5, pN.PAG
- ISSN
2311-5521
- Publication type
Article
- DOI
10.3390/fluids7050172