Bubbble growth and collapse in viscoelastic liquids analyzed.

A. C. Papanastasiou, L. E. Scriven, C. W. Macosko

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Abstract

Discusses Galerkin finite element method analysis of bubble growth or collapse, isothermally and without mass transfer in a viscoelastic liquid. Introduces an integral constitutive equation of the BKZ type, designed for any mixture of extensional and shear flow. It requires the history of the relative deformation Finger tensor, of each liquid particle. Describes procedures to obtain the nonliner integrodifferential equation for evolution of the bubble radius. Galerkin's weighted residual method is applied and Newton iteration employed. Quadratic convergence is achieved up to a Deborah number of 60. Presents results in terms of the dimensionless Deborah and Weber numbers and compares these results with experimental studies of bubble collapse. Also examines results using differential constitutive equations. (C.J.U.)

Original languageEnglish (US)
JournalJ. NON-NEWTONIAN FLUID MECH.
Volume16
Issue number1-2 , Sep. 1984, p.53-75.
StatePublished - Jan 1 1984

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