Asymmetric Stokes flow induced by a transverse point-force acting near a finite-sized elastic membrane
arXiv:2006.14375 · doi:10.7566/JPSJ.89.124401
Abstract
A deep understanding of the physical interactions between nanoparticles and target cell membranes is important in designing efficient nanocarrier systems for drug delivery applications. Here, we present a theoretical framework to describe the hydrodynamic flow field induced by a point-force singularity (Stokeslet) directed parallel to a finite-sized elastic membrane endowed with shear and bending rigidities. We formulate the elastohydrodynamic problem as a mixed-boundary-value problem, which we then reduce into a well-behaved system of integro-differential equations. It follows that shear and bending linearly decouple so that the solution of the overall flow problem can be obtained by linear superposition of the contributions arising from these modes of deformation. Additionally, we probe the effect of the membrane on the hydrodynamic drag acting on a nearby particle, finding that, in a certain range of parameters, translational motion near an elastic membrane with only energetic resistance toward shear can, surprisingly, be sped up compared to bulk fluid. Our results may find applications in microrheological characterizations of colloidal systems near elastic confinements.
arXiv commentTo appear in J. Phys. Soc. Jpn
References in corpus (31)
- Efficient and accurate simulations of deformable particles immersed in a fluid using a combined immersed boundary lattice Boltzmann finite element method
- Self-sustained lift and low friction via soft lubrication
- Brownian motion near a partial-slip boundary: A local probe of the no-slip condition
- Hydrodynamic interaction in confined geometries
- Numerical simulations of complex fluid-fluid interface dynamics
- Elastohydrodynamics of a sliding, spinning and sedimenting cylinder near a soft wall
- Long-lived anomalous thermal diffusion induced by elastic cell membranes on nearby particles
- Hindered mobility of a particle near a soft interface
- Clustering of microscopic particles in constricted blood flow
- Persistent correlation of constrained colloidal motion
- Brownian motion near a liquid-like membrane
- Direct Measurement of the Elastohydrodynamic Lift Force at the Nanoscale
- Rotation of an immersed cylinder sliding near a thin elastic coating
- Particle mobility between two planar elastic membranes: Brownian motion and membrane deformation
- Mobility of an axisymmetric particle near an elastic interface
- Hydrodynamic interaction between particles near elastic interfaces
- A reciprocal theorem for the prediction of the normal force induced on a particle translating parallel to an elastic membrane
- Thermal Excitations of Warped Membranes
- Brownian motion near an elastic cell membrane: A theoretical study
- Hydrodynamic mobility of a solid particle nearby a spherical elastic membrane. I. Axisymmetric motion
- Frequency-dependent higher-order Stokes singularities near a planar elastic boundary: implications for the hydrodynamics of an active microswimmer near an elastic interface
- Hydrodynamic mobility of a sphere moving on the centerline of an elastic tube
- Hydrodynamic coupling and rotational mobilities near planar elastic membranes
- Creeping motion of a solid particle inside a spherical elastic cavity
- Hydrodynamic mobility of a solid particle nearby a spherical elastic membrane. II. Asymmetric motion
- Slow rotation of a spherical particle inside an elastic tube
- Axisymmetric flow due to a Stokeslet near a finite-sized elastic membrane
- Dynamics of a microswimmer-microplatelet composite
- Creeping motion of a solid particle inside a spherical elastic cavity. II. Asymmetric motion
- Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks
- Particle motion nearby rough surfaces
Cited by in corpus (3)
- Steady azimuthal flow field induced by a rotating sphere near a rigid disk or inside a gap between two coaxially positioned rigid disks
- Diffusiophoretic propulsion of an isotropic active colloidal particle near a finite-sized disk embedded in a planar fluid-fluid interface
- Axisymmetric monopole and dipole flow singularities in proximity of a stationary no-slip plate immersed in a Brinkman fluid