Simulation of hydrodynamically interacting particles confined by a spherical cavity

Aponte-Rivera, Christian; Zia, Roseanna N.

doi:10.1103/physrevfluids.1.023301

Cited by 47 publications

(60 citation statements)

References 118 publications

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“…in agreement with the results by Aponte-Rivera and Zia [80][81][82], who provided the elements of the grand mobility tensor for general motion inside a rigid cavity. Interestingly, the particle mobility in the limit of infinite stiffness is found to be always larger than that inside a rigid cavity with no-slip velocity boundary condition on its interior surface.…”

Section: Hydrodynamic Mobilitysupporting

confidence: 90%

Creeping motion of a solid particle inside a spherical elastic cavity: II. Asymmetric motion

et al. 2019

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An analytical method is proposed for computing the low-Reynolds-number hydrodynamic mobility function of a small colloidal particle asymmetrically moving inside a large spherical elastic cavity, the membrane of which is endowed with resistance toward shear and bending. In conjunction with the results obtained in the first part [Daddi-Moussa-Ider, Löwen, and Gekle, Eur. Phys. J. E 41, 104 (2018)], in which the axisymmetric motion normal to the surface of an elastic cavity is investigated, the general motion for an arbitrary force direction can now be addressed. The elastohydrodynamic problem is formulated and solved using the classic method of images through expressing the hydrodynamic flow fields as a multipole expansion involving higher-order derivatives of the free-space Green's function. In the quasi-steady limit, we demonstrate that the particle selfmobility function of a particle moving tangent to the surface of the cavity is larger than that predicted inside a rigid stationary cavity of equal size. This difference is justified by the fact that a stationary rigid cavity introduces additional hindrance to the translational motion of the encapsulated particle, resulting in a reduction of its hydrodynamic mobility. Furthermore, the motion of the cavity is investigated, revealing that the translational pair (composite) mobility, which linearly couples the velocity of the elastic cavity to the force exerted on the solid particle, is solely determined by membrane shear properties. Our analytical predictions are favorably compared with fully-resolved computer simulations based on a completed-double-layer boundary integral method.

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Section: Hydrodynamic Mobilitysupporting

confidence: 90%

Creeping motion of a solid particle inside a spherical elastic cavity: II. Asymmetric motion

et al. 2019

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“…As such, it can in principle be generalized to other cases where explicit formulas for the mobility matrix are available. For example, recently the RP tensor has been computed for particles confined in a spherical cavity [53]. However, the key difficulty is that the Lanczos iterative method for computing the Brownian increments is not going to converge in a constant number of iterations, independent of the number of particles, unless that hydrodynamic interactions are strongly screened.…”

Section: Discussionmentioning

confidence: 99%

Brownian dynamics of confined suspensions of active microrollers

Usabiaga

Delmotte

Donev

2017

The Journal of Chemical Physics

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We present a stochastic Adams-Bashforth integrator for the equations of Brownian dynamics, which has the same cost as but is more accurate than the widelyused Euler-Maruyama scheme, and uses a random finite difference to capture the stochastic drift proportional to the divergence of the configuration-dependent mobility matrix. We generate the Brownian increments using a Krylov method, and show that for particles confined to remain in the vicinity of a no-slip wall by gravity or active flows the number of iterations is independent of the number of particles.Our numerical experiments with active rollers show that the thermal fluctuations set the characteristic height of the colloids above the wall, both in the initial condition and the subsequent evolution dominated by active flows. The characteristic height in turn controls the timescale and wavelength for the development of the fingering instability.arXiv:1612.00474v3 [cond-mat.soft]

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“…(28) can conveniently be expanded around the particle center r λ following a multipole expansion approach. Up to the second order and assuming a constant force density over the particle surface, the disturbance velocity can be approximated by [146,147] v(r, r λ , ω)…”

Section: Particle Hydrodynamic Mobilitymentioning

confidence: 99%

Brownian motion near an elastic cell membrane: A theoretical study

Daddi-Moussa-Ider

Gekle

2018

Eur. Phys. J. E

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Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this paper, we review the Brownian motion of a particle moving in the vicinity of a living cell whose membrane is endowed with a resistance towards shear and bending. The analytical calculations proceed through the computation of the frequency-dependent mobility functions and the application of the fluctuation-dissipation theorem. Elastic interfaces endow the system with memory effects that lead to a long-lived anomalous subdiffusive regime of nearby particles. In the steady limit, the diffusional behavior approaches that near a no-slip hard wall. The analytical predictions are validated and supplemented with boundary-integral simulations.

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Simulation of hydrodynamically interacting particles confined by a spherical cavity

Cited by 47 publications

References 118 publications

Creeping motion of a solid particle inside a spherical elastic cavity: II. Asymmetric motion

Creeping motion of a solid particle inside a spherical elastic cavity: II. Asymmetric motion

Brownian dynamics of confined suspensions of active microrollers

Brownian motion near an elastic cell membrane: A theoretical study

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