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Achieving accurate numerical results of hydrodynamic loads based on the potential-flow theory is very challenging for structures with sharp edges, due to the singular behavior of the local-flow velocities. In this paper, we introduce the…

Numerical Analysis · Mathematics 2021-09-23 Ying Wang , Yanlin Shao , Jikang Chen , Hui Liang

We propose a numerical method for fluid deformable surfaces governed by surface Stokes flow and Helfrich bending energy under active growth, aiming to model shape evolution of the epithelium in developmental processes. To prevent…

Fluid Dynamics · Physics 2026-02-17 Maik Porrmann , Sören Bartels , Axel Voigt

Recent experiments proposed to use confined bacteria in order to generate flows near surfaces. We develop a mathematical and a computational model of this fluid transport using a linear superposition of fundamental flow singularities. The…

Biological Physics · Physics 2018-02-27 Justas Dauparas , Debasish Das , Eric Lauga

This article offers a reappraisal of Fung's method for quasilinear viscoelasticity. It is shown that a number of negative features exhibited in other works, commonly attributed to the Fung approach, are merely a consequence of the way it…

Classical Physics · Physics 2015-06-18 Riccardo De Pascalis , I. David Abrahams , William J. Parnell

Many species of bacteria swim through viscous environments by rotating multiple helical flagella. The filaments gather behind the cell body and form a close helical bundle, which propels the cell forward during a "run". The filaments inside…

Biological Physics · Physics 2020-05-22 Maria Tătulea-Codrean , Eric Lauga

A slender-thread model is derived to explore the Rayleigh-Plateau instability of a filament of elasto-viscoplastic fluid. Without elasticity, a finite yield stress suppresses any linear instability for a filament of constant radius.…

Fluid Dynamics · Physics 2025-12-25 James D. Shemilt , Neil J. Balmforth

We use an elastic model to explore faceting of solid-wall vesicles with elastic heterogeneities. We show that faceting occurs in regions where the vesicle wall is softer, such as areas of reduced wall thicknesses or concentrated in…

Soft Condensed Matter · Physics 2012-05-30 Rastko Sknepnek , Monica Olvera de la Cruz

We report experiments on the deformation and transport of an elastic fiber in a viscous cellular flow, namely a lattice of counter-rotative vortices. We show that the fiber can buckle when approaching a stagnation point. By tuning either…

Soft Condensed Matter · Physics 2010-03-31 E. Wandersman , N. Quennouz , M. Fermigier , A. Lindner , O. du Roure

Motivated by the intriguing motility of spirochetes (helically-shaped bacteria that screw through viscous fluids due to the action of internal periplasmic flagella), we examine the fundamental fluid dynamics of superhelices translating and…

Fluid Dynamics · Physics 2009-11-13 Sunghwan Jung , Kathleen Mareck , Lisa Fauci , Michael J. Shelley

We propose a method for effectively upscaling incompressible viscous flow in large random polydispersed sphere packings: the emphasis of this method is on the determination of the forces applied on the solid particles by the fluid. Pore…

Soft Condensed Matter · Physics 2015-03-19 B. Chareyre , A. Cortis , E. Catalano , E. Barthélémy

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

Soft Condensed Matter · Physics 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos

Complex fluids such as emulsions, colloidal gels, polymer or surfactant solutions are all characterized by the existence of a "microstructure" which may couple to an external flow on timescales that are easily probed in experiments. Such a…

Soft Condensed Matter · Physics 2015-02-11 Christophe Perge , Marc-Antoine Fardin , Sebastien Manneville

Microbial flagellates typically inhabit complex suspensions of polymeric material which can impact the swimming speed of motile microbes, filter-feeding of sessile cells, and the generation of biofilms. There is currently a need to better…

Soft Condensed Matter · Physics 2017-11-22 Andrew Kaan Balin , Andreas Zöttl , Julia M. Yeomans , Tyler Shendruk

It is known from the wave-like motion of microtubules in motility assays that the piconewton forces that motors produce can be sufficient to bend the filaments. In cellular phenomena such as cytosplasmic streaming, molecular motors…

Soft Condensed Matter · Physics 2017-07-11 Gabriele De Canio , Eric Lauga , Raymond E. Goldstein

We study the collapse of an axisymmetric liquid filament both analytically and by means of a numerical model. The liquid filament, also known as ligament, may either collapse stably into a single droplet or break up into multiple droplets.…

Fluid Dynamics · Physics 2013-07-12 Theo Driessen , Roger Jeurissen , Herman Wijshoff , Federico Toschi , Detlef Lohse

Numerically simulating deformations in thin elastic sheets is a challenging problem in computational mechanics due to destabilizing compressive stresses that result in wrinkling. Determining the location, structure, and evolution of…

Materials Science · Physics 2014-11-26 Michael Taylor , Benny Davidovitch , Zhanlong Qiu , Katia Bertoldi

Over the past decade, autophoretic colloids have emerged as a prototypical system for studying self-propelled motion at microscopic scales, with promising applications in microfluidics, micromachinery, and therapeutics. Their motion in a…

Soft Condensed Matter · Physics 2026-05-19 Ursy Makanga , Akhil Varma , Panayiota Katsamba

Motile eukaryotic cells propel themselves in viscous fluids by passing waves of bending deformation down their flagella. An infinitely long flagellum achieves a hydrodynamically optimal low-Reynolds number locomotion when the angle between…

Biological Physics · Physics 2010-03-03 Saverio E. Spagnolie , Eric Lauga

We propose a generic model to describe the mechanical response and failure of systems which undergo a series of stick-slip events when subjected to an external load. We model the system as a bundle of fibers, where single fibers can…

Disordered Systems and Neural Networks · Physics 2011-04-28 Zoltan Halasz , Ferenc Kun

The intricate wobbling motion of flagellated bacteria, characterized by the periodic precession of the cell body, is a determinant factor in their motility and navigation within complex fluid environments. While well-studied in quiescent…

Soft Condensed Matter · Physics 2026-01-26 Wei Feng , Fanglong Dang , Hao Luo , Alan C. H. Tsang , Yanan Liu , Guangyin Jing