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

Published online by Cambridge University Press:  18 July 2018

Emre Turkoz Open the ORCID record for Emre Turkoz [Opens in a new window] ,
Jose M. Lopez-Herrera ,
Jens Eggers Open the ORCID record for Jens Eggers [Opens in a new window] ,
Craig B. Arnold  and
Luc Deike Open the ORCID record for Luc Deike [Opens in a new window]
Emre Turkoz
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Jose M. Lopez-Herrera
Affiliation:
Departamento Ing. Aerospacial y Mecanica de Fluidos, Universidad de Sevilla, Sevilla 41004, Espana
Jens Eggers
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK
Craig B. Arnold
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
Luc Deike*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA Princeton Environmental Institute, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: [email protected]
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Abstract

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.

JFM classification

Mathematical Foundations: Computational methods Interfacial Flows (free surface): Liquid bridges Non-Newtonian Flows: Viscoelasticity
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 851 , 25 September 2018 , R2
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Copyright
© 2018 Cambridge University Press 

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