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Branched actin networks exert pushing forces in eukaryotic cells, and adapt their stiffness to their environment. The physical basis for their mechanics and adaptability is however not understood. Indeed, here we show that their high…

We consider a coupled model for fluid flow and transport in a domain consisting of two bulk regions separated by a thin porous layer. The thickness of the layer is of order $\varepsilon$ and the microscopic structure of the layer is…

Analysis of PDEs · Mathematics 2024-09-26 Markus Gahn , Maria Neuss-Radu

Friction in liquids arises from conservative forces between molecules and atoms. Although the hydrodynamics at the nanoscale is subject of intense research and despite the enormous interest in the non-Markovian dynamics of single molecules…

Statistical Mechanics · Physics 2020-07-13 Arthur V. Straube , Bartosz G. Kowalik , Roland R. Netz , Felix Höfling

We consider the behaviour of a dielectric fluid-fluid interface in the presence of a strong electric field from a point charge and line charge, respectively, both statically and, in the latter case, dynamically. The fluid surface is…

Soft Condensed Matter · Physics 2012-11-08 Simen Å. Ellingsen , Iver Brevik

In this paper we present and analyze a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a flow in a poroelastic medium. The flows are governed by the Stokes and Biot equations,…

Numerical Analysis · Mathematics 2021-05-25 Sergio Caucao , Tongtong Li , Ivan Yotov

The paper reports on the quasi-static steady flow of a dry liquid foam around a fixed spherical bead, few times larger than the typical bubble size. The force exerted on the bead is recorded with a precision and a time resolution large…

Soft Condensed Matter · Physics 2009-11-11 Isabelle Cantat , Olivier Pitois

Many biological fluids are composed of suspended polymers immersed in a viscous fluid. A prime example is mucus, where the polymers are also known to form a network. While the presence of this microstructure is linked with an overall…

Fluid Dynamics · Physics 2024-10-10 Adam K. Townsend , Eric E. Keaveny

We investigate structural and dynamical properties of a self-propelled filament using coarse-grained Brownian dynamics simulations. A self-propulsion force is applied along the bond vectors, i.e., tangent to the filament and their locations…

Soft Condensed Matter · Physics 2019-02-14 Shalabh K. Anand , Sunil P. Singh

We develop a combined field formulation for the fluid structure (FS) interaction problem. The unknowns are (u;p;v), being the fluid velocity, fluid pressure and solid velocity. This combined field formulation uses Arbitrary Lagrangian…

Numerical Analysis · Mathematics 2014-01-03 Jie Liu

We consider the evolution of contact lines for viscous fluids in a two-dimensional open-top vessel. The domain is bounded above by a free moving boundary and otherwise by the solid wall of a vessel. The dynamics of the fluid are governed by…

Analysis of PDEs · Mathematics 2016-09-23 Yunrui Zheng , Ian Tice

We present the results of smoothed particle hydrodynamic simulations investigating the evolution and fragmentation of filaments that are accreting from a turbulent medium. We show that the presence of turbulence, and the resulting…

Astrophysics of Galaxies · Physics 2017-04-19 S. D. Clarke , A. P. Whitworth , A. Duarte-Cabral , D. A. Hubber

We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force. In this way,…

Analysis of PDEs · Mathematics 2011-03-09 David Gérard-Varet , Matthieu Hillairet

The fluid-structure interactions between flexible fibers and viscous flows play an essential role in various biological phenomena, medical problems, and industrial processes. Of particular interest is the case of particles freely…

Active particles moving through fluids generate disturbance flows due to their activity. For simplicity, the induced flow field is often modeled by the leading terms in a far-field approximation of the Stokes equations, whose coefficients…

Fluid Dynamics · Physics 2018-05-02 Babak Nasouri , Gwynn J. Elfring

We derive the far-field and near-field solutions for the Green's function of a point force acting perpendicular to a no-slip wall in a Brinkman fluid, focusing on the regime where the distance between the force and the wall is much smaller…

Fluid Dynamics · Physics 2026-01-21 Abdallah Daddi-Moussa-Ider , Andrej Vilfan

Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the…

Fluid Dynamics · Physics 2021-02-22 Jonathan Mayzel , Victor Steinberg , Atul Varshney

A phenomenological description for active bundles of polar filaments is presented. The activity of the bundle results from crosslinks, that induce relative displacements between the aligned filaments. Our generic description is based on…

Statistical Mechanics · Physics 2009-11-07 Karsten Kruse , Frank Julicher

The evaporation of a drop from a liquid subphase is investigated. The two liquids are immiscible, and the contact angles between them are given by the Neumann construction. The evaporation of the drop gives rise to flows in both liquids,…

Fluid Dynamics · Physics 2015-02-10 Hanneke Gelderblom , Howard A. Stone , Jacco H. Snoeijer

Slender-body approximations have been successfully used to explain many phenomena in low-Reynolds number fluid mechanics. These approximations typically use a line of singularity solutions to represent the flow. These singularities can be…

Fluid Dynamics · Physics 2021-09-17 Boan Zhao , Lyndon Koens

The motion and deformation of a droplet suspended in an unbounded fluid with an arbitrary, but Stokesian, imposed flow is investigated when there is a slip at the interface between the two liquids. The boundary condition at the interface is…

Fluid Dynamics · Physics 2015-03-31 Shubhadeep Mandal , Aditya Bandopadhyay , Suman Chakraborty