Hydrodynamics of immiscible binary fluids with viscosity contrast: a multiparticle collision dynamics approach

We present a multiparticle collision dynamics (MPC) implementation of layered immiscible fluids A and B of different shear viscosities separated by planar interfaces. The simulated flow profile for imposed steady shear motion and the time-dependent shear stress functions are in excellent agreement w...

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Bibliographic Details
Published in:Soft matter 2021-09, Vol.17 (34), p.7978-799
Main Authors: Tan, Zihan, Calandrini, Vania, Dhont, Jan K. G, Nägele, Gerhard, Winkler, Roland G
Format: Article
Language:English
Subjects:
Autocorrelation functions
Binary fluids
Collision dynamics
Computational fluid dynamics
Creep (materials)
Flow simulation
Fluid flow
Fluid mechanics
Hydrodynamics
Interfaces
Miscibility
Multipoles
Shear stress
Stress functions
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Summary:We present a multiparticle collision dynamics (MPC) implementation of layered immiscible fluids A and B of different shear viscosities separated by planar interfaces. The simulated flow profile for imposed steady shear motion and the time-dependent shear stress functions are in excellent agreement with our continuum hydrodynamics results for the composite fluid. The wave-vector dependent transverse velocity auto-correlation functions (TVAF) in the bulk-fluid regions of the layers decay exponentially, and agree with those of single-phase isotropic MPC fluids. In addition, we determine the hydrodynamic mobilities of an embedded colloidal sphere moving steadily parallel or transverse to a fluid-fluid interface, as functions of the distance from the interface. The obtained mobilities are in good agreement with hydrodynamic force multipoles calculations, for a no-slip sphere moving under creeping flow conditions near a clean, ideally flat interface. The proposed MPC fluid-layer model can be straightforwardly implemented, and it is computationally very efficient. Yet, owing to the spatial discretization inherent to the MPC method, the model can not reproduce all hydrodynamic features of an ideally flat interface between immiscible fluids. We present a multiparticle collision dynamics (MPC) implementation of layered immiscible fluids A and B of different shear viscosities separated by planar interfaces, capturing time-dependent fluctuating hydrodynamics.
ISSN:1744-683X
1744-6848
DOI:10.1039/d1sm00541c