Axisymmetric simulation of viscoelastic filament thinning with the Oldroyd-B model

A fundamental understanding of the filament thinning of viscoelastic fluids is important in practical applications such as spraying and printing of complex materials. Here, we present direct numerical simulations of the two-phase axisymmetric momentum equations using the volume-of-fluid technique fo...

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Bibliographic Details
Published in:Journal of fluid mechanics 2018-09, Vol.851, Article R2
Main Authors: Turkoz, Emre, Lopez-Herrera, Jose M., Eggers, Jens, Arnold, Craig B., Deike, Luc
Format: Article
Language:English
Subjects:
Approximation
Computational fluid dynamics
Computer simulation
Conformation
Constitutive equations
Constitutive relationships
Fluid flow
Fluids
JFM Rapids
Mathematical analysis
Mathematical models
Momentum
Numerical methods
Simulation
Spraying
Tensors
Thinning
Tracking
Velocity
Viscoelastic fluids
Viscoelasticity
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Summary:A fundamental understanding of the filament thinning of viscoelastic fluids is important in practical applications such as spraying and printing of complex materials. Here, we present direct numerical simulations of the two-phase axisymmetric momentum equations using the volume-of-fluid technique for interface tracking and the log-conformation transformation to solve the viscoelastic constitutive equation. The numerical results for the filament thinning are in excellent agreement with the theoretical description developed with a slender body approximation. We show that the off-diagonal stress component of the polymeric stress tensor is important and should not be neglected when investigating the later stages of filament thinning. This demonstrates that such numerical methods can be used to study details not captured by the one-dimensional slender body approximation, and pave the way for numerical studies of viscoelastic fluid flows.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2018.514