Coalescence-Induced Coalescence of Inviscid Droplets in a Viscous Fluid
β Scribed by D.Stefan Martula; Takuya Hasegawa; Douglas R. Lloyd; Roger T. Bonnecaze
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 324 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0021-9797
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β¦ Synopsis
A comprehensive simulation of the coarsening mechanism coalescence-induced coalescence (CIC) is developed to predict the growth rate of inviscid droplets in a viscous matrix fluid. In CIC, the shape relaxations of coalescing droplets establish flow fields that drive other droplets into contact, thus creating a cascade of coalescence events. It is believed that CIC is responsible for droplet growth in some demixed polymer solutions, such as isotactic polypropylene (iPP) and diphenyl ether (DPE). A cascade of coalescence events is simulated using a three-dimensional molecular dynamicslike simulation of a dispersed two-phase isopycnic fluid system. The coalescence-induced flow is driven mostly by the strong gradients in curvature at the neck of a coalescing pair of droplets, and the flow is modeled analytically by approximating it as due to a ring of point forces. The resultant velocity of each droplet in the suspension is calculated by superimposing all of the coalescenceinduced flow fields and applying Faxen's Law. The mean droplet size a grows like t ΞΎ , where t is the coarsening time and ΞΎ a growth exponent that increases with increasing minority phase volume fraction Ο. Good agreement with experimental values of ΞΎ (0.22 < ΞΎ < 0.47) is obtained for a phase-separated iPP-DPE solution for Ο β₯ 0.23. It is also shown that the droplet size distribution broadens for semidilute suspensions (Ο β€ 0.42) but remains relatively narrow for highly concentrated suspensions (Ο β₯ 0.54). A phenomenological kinetic theory of coalescence is proposed. It is believed that in nondilute emulsions, CIC can account for coarsening that has been attributed previously to more traditional coalescence mechanisms.
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