Mannheimer and Schechter model revisited: Viscosimetry of a (non-)Newtonian and curved interface

Patouillet, Kévin; Davoust, Laurent; Doche, Olivier; Delacroix, Jules

doi:10.1103/physrevfluids.4.054002

Cited by 5 publications

(5 citation statements)

References 36 publications

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“…These include various phospholipids and proteins. Two-way coupling of bulk and interfacial flow has been recently been described for cases where inertia is negligible [38]. In this paper, we focus on flows where inertia is important.…”

Section: Introductionmentioning

confidence: 99%

Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions

Hirsa

Lopez

2021

Fluids

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The air–water interface in flowing systems remains a challenge to model, even in cases where the interface is essentially flat. This is because even though each side is governed by the Navier–Stokes equations, the stress balance which provides the boundary conditions for the equations involves properties associated with surfactants that are inevitably present at the air–water interface. Aside from challenges in measuring interfacial properties, either intrinsic or flow-dependent, the two-way coupling of bulk and interfacial flows is non-trivial, even for very simple flow geometries. Here, we present an overview of the physics associated with surfactant monolayers of flowing liquid and describe how the monolayer affects the bulk flow and how the monolayer is transported and deformed by the bulk flow. The emphasis is primarily on cylindrical flow geometries, and both Newtonian and non-Newtonian interfacial responses are considered. We consider interfacial flows that are solenoidal as well as those where the surface velocity is not divergence free.

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Section: Introductionmentioning

confidence: 99%

Coupling Vortical Bulk Flows to the Air–Water Interface: From Putting Oil on Troubled Waters to Surfactants on Protein Solutions

Hirsa

Lopez

2021

Fluids

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“…Many models [40,41,35] have been proposed to describe the evolution of the apparent surface shear viscosity, noted η ef f s , with the local interfacial shear rate, noted D s , in the absence of dilatational deformation (tr D s = 0). In this paper, our choice for the constitutive law of the surface shear viscosity is inspired by the Carreau model currently considered in bulk (3D) rheology, and successfully adapted to the case of a fluid interface in a companion paper [42]:…”

Section: Mechanical Behaviour Of the Oxide Layermentioning

confidence: 99%

“…Concerning surface hydrodynamics, the velocity field is considered purely azimuthal, v s = v sθ e θ , due to the absence of meridional flow. Thus, the tangential component of the JMB is reduced to a no-slip condition along the curved interface, so that: v sr = v sz = 0, and surface flow is only described by the azimuthal component of the JMB [42]:…”

Section: Modeling Of Surface Shearingmentioning

confidence: 99%

“…The latter is iteratively solved by using the finite element method. The equation is implemented through its weak formulation according to a 1-D axisymmetric model [42]. The mean absolute error is then calculated between the numerical solution and the experimental curvature, and finally minimized by adjusting the value of the surface tension.…”

Section: Surface Dynamics and Oxydation Levelmentioning

confidence: 99%

“…The bulk MHD equations are implemented according to a weak formulation (see e.g. [21] for details), whereas the interface shape and the jump momentum balance at the interface (JMB) deserve dedicated weak formulations [42]. The vertical component of the JMB reduces to the Laplace-Young equation implemented as a 1-D axisymmetric model in addition to the Navier-Stokes equations.…”

Section: Appendix : Numerical Implementationmentioning

confidence: 99%

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