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Flagellated bacteria exploiting helical propulsion are known to swim along circular trajectories near surfaces. Fluid dynamics predicts this circular motion to be clockwise (CW) above a rigid surface (when viewed from inside the fluid) and…

Biological Physics · Physics 2014-07-18 Diego Lopez , Eric Lauga

Three-dimensional excitable systems can create nonlinear scroll waves that rotate around one-dimensional phase singularities. Recent theoretical work predicts that these filaments drift along step-like height variations. Here we test this…

Pattern Formation and Solitons · Physics 2015-03-19 Hua Ke , Zhihui Zhang , Oliver Steinbock

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a contact line. This is a main challenge in numerical simulations of two-phase flows with moving contact lines. We derive a two-dimensional…

Fluid Dynamics · Physics 2019-05-23 Hanna Holmgren , Gunilla Kreiss

Particles are common in biological and environmental flows and are widely used in industrial and pharmaceutical applications. Their motion and flow dynamics are strongly affected by interactions with the surrounding flow structure. While…

In an effort to study the stability of contact lines in fluids, we consider the dynamics of an incompressible viscous Stokes fluid evolving in a two-dimensional open-top vessel under the influence of gravity. This is a free boundary…

Analysis of PDEs · Mathematics 2017-10-25 Yan Guo , Ian Tice

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

The emerging field of self-driven active particles in fluid environments has recently created significant interest in the biophysics and bioengineering communities owing to their promising future biomedical and technological applications.…

Biological microswimmers, like euglena, deform their body shape to swim through tight confinements having length scales comparable to the microswimmer length scale. Recently, it was shown that self-propelling active droplets can also…

Soft Condensed Matter · Physics 2024-07-08 Subhasish Guchhait , Smita Sontakke , Shubhadeep Mandal , Ranabir Dey

Lipid vesicles play a key role in fundamental biological processes. Despite recent progress, we lack a complete understanding of the non-equilibrium dynamics of vesicles due to challenges associated with long-time observation of shape…

Biological Physics · Physics 2019-10-18 Dinesh Kumar , Channing M. Richter , Charles M. Schroeder

We provide exact solutions of the Stokes equations for a squirming sphere close to a no-slip surface, both planar and spherical, and for the interactions between two squirmers, in three dimensions. These allow the hydrodynamic interactions…

Fluid Dynamics · Physics 2017-04-05 Dario Papavassiliou , Gareth P. Alexander

A liquid droplet, immersed into a Newtonian fluid, can be propelled solely by internal flow. In a simple model, this flow is generated by a collection of point forces, which represent externally actuated devices or model autonomous…

Fluid Dynamics · Physics 2021-03-10 Reiner Kree , Leon Rueckert , Annette Zippelius

In view of recent microrheology experiments we re-examine the problem of a rigid sphere oscillating inside a dilute polymer network. The network and its solvent are treated using the two-fluid model. We show that the dynamics of the medium…

Soft Condensed Matter · Physics 2015-05-15 Haim Diamant

We investigate the swim pressure exerted by non-chiral and chiral active particles on convex or concave circular boundaries. Active particles are modeled as non-interacting and non-aligning self-propelled Brownian particles. The convex and…

Soft Condensed Matter · Physics 2020-10-01 Tayeb Jamali , Ali Naji

Stokes' equations model microscale fluid flows including the flows of nanoliter-sized fluid samples in lab-on-a-chip systems. Helmholtz's dissipation theorem guarantees that the solution of Stokes' equations in a given domain minimizes…

Fluid Dynamics · Physics 2022-04-18 Tachin Ruangkriengsin , Marcus Roper

To explore and react to their environment, living micro-swimmers have developed sophisticated strategies for locomotion - in particular, motility with multiple gaits. To understand the physical principles associated with such a behavioural…

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

Biological Physics · Physics 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

Micro droplets are extensively used in chemical, biological, and medical research, primarily for conducting various tests on samples, including living organisms, using a microfluidic framework. Recent studies have shown that the physiology…

Fluid Dynamics · Physics 2025-05-27 Siddhant Jain , Saini Jatin Rao , Shubhadeep Mandal , Cameron Tropea , Saptarshi Basu

Active matter exhibits various forms of non-equilibrium states in the absence of external forcing, including macroscopic steady-state currents. Such states are often too complex to be modelled from first principles and our understanding of…

Soft Condensed Matter · Physics 2020-09-17 Viktor Škultéty , Cesare Nardini , Joakim Stenhammar , Davide Marenduzzo , Alexander Morozov

When two spherical particles submerged in a viscous fluid are subjected to an oscillatory flow, they align themselves perpendicular to the direction of the flow leaving a small gap between them. The formation of this compact structure is…

A small amplitude perturbation analysis is developed to describe the effect of a uniform electric field on the dynamics of a lipid bilayer vesicle in a simple shear flow. All media are treated as leaky dielectrics and fluid motion is…

Fluid Dynamics · Physics 2015-05-20 Jonathan T. Schwalbe , Petia M. Vlahovska , Michael J. Miksis
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