Modeling breakup and relaxation of Newtonian droplets using the advected phase-field approach | Zendy

Julien Beaucourt | Zendy; Thierry Biben | Zendy; Anne Leyrat | Zendy; Claude Verdier | Zendy

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Modeling breakup and relaxation of Newtonian droplets using the advected phase-field approach

Author(s) -

Julien Beaucourt,

Thierry Biben,

Anne Leyrat,

Claude Verdier

Publication year - 2007

Publication title -

physical review e

Language(s) - English

Resource type - Journals

eISSN - 1550-2376

pISSN - 1539-3755

DOI - 10.1103/physreve.75.021405

Subject(s) - breakup , newtonian fluid , mechanics , relaxation (psychology) , rheology , shear flow , non newtonian fluid , field (mathematics) , physics , classical mechanics , viscoplasticity , flow (mathematics) , statistical physics , thermodynamics , constitutive equation , mathematics , psychology , social psychology , finite element method , pure mathematics

International audienceThe relaxation and breakup of Newtonian droplets is considered using the advected field approach. This method allows to follow the deformation of interfaces using an order parameter field [Biben et al., Europhys. Letters, 63(4), 623 (2003)] based on a Ginzburg-Landau equation. Using this method, it is possible to follow the breakup of droplets and stability curves can be obtained both in 2D and 3D shear and elongational flows. Finally, relaxation of a droplet is considered, following the application of an elongational flow. The results are compared with previous experimental data [Ha and Leal, Phys. Fluids, 13(6), 1568 (2001)], and are found to be in satisfactory agreement. The method is general enough to be applied to other non-Newtonian fluids, such as Oldroyd-B fluids or viscoplastic materials

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