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Mass transfer around slender drops in an extensional flow: Inertial effects at large peclet numbers
Author(s) -
Favelukis Moshe
Publication year - 2015
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.22335
Subject(s) - mechanics , péclet number , weber number , inviscid flow , reynolds number , drop (telecommunication) , breakup , inertia , mass transfer , stokes flow , physics , thermodynamics , materials science , classical mechanics , turbulence , flow (mathematics) , telecommunications , computer science
The exchange of mass between a slender drop and a viscous liquid in an axisymmetric extensional flow and at large Peclet numbers is examined. Four cases are discussed: an inviscid drop and a viscous drop, under both creeping flow conditions and when the external flow has a weak amount of inertia. Solutions are presented as a function of the capillary number ( Ca ≫ 1), the viscosity ratio ( κ ≪ 1), the external Reynolds number ( Re ≪ 1), and the Peclet number ( Pe ≫ 1). The results suggest that the steady mass transfer rate, to or from the slender drop, is proportional to the elongation rate to the (relative) high power of 3/2. In general, as inertia increases, the drop becomes thinner and longer, and the average tangential surface velocity and the surface area increase, resulting in larger mass transfer rates, especially near the breakup point.