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An Inviscid Drop 0 in Zero Reynolds Number
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analysis analytic apparatus approximation Barthes-Biesel and Acrivos belt speed boundary conditions bubble Buckmaster 1973 capillary pressure centipoise continuous phase corresponding creeping-flow equations critical shear rate critical value deformation curve density device dimensionless groups dimensionless shear rate dispersed phase Doctor of Philosophy drop break-up drop deformation droplets effect of inertia experimental extensional flow figure flow field fluid freely suspended given Grace hence hyperbolic flow immiscible inertial effects inner region inner solution inside the drop integer integral interface interfacial tension internal viscosity inviscid drop kinematic condition linear liquid drop low Reynolds number maximum shear rate normal stress balance obtained order of approximation parallel-band parameter prior to break-up radius reservoir section 2d shear stress simple shear flow single drop singular region slender-body theory small drop stable steady-state Stokes flow surface surface tension syrup Taylor test section tion Torza trichloroethylene UCON undisturbed flow velocity viscosity ratio