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The translation and shape deformations of a passive viscous Newtonian droplet immersed in an active nematic liquid crystal under circular confinement are analyzed using a linear stability analysis. We focus on the case of a sharply aligned…

Soft Condensed Matter · Physics 2025-07-29 Tanumoy Dhar , Michael J. Shelley , David Saintillan

The shape deformation of a three-dimensional axisymmetric vesicle with encapsulated filaments or impurities is analyzed by integrating a dissipation dynamics. This method can incorporate systematically the constraint of a fixed surface area…

Soft Condensed Matter · Physics 2009-11-07 Akiyoshi shibuya , Yukio Saito , Hiroyuki Hyuga

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

We grafted polyacrylic acid brushes containing cysteine side chains at a defined surface density on planar lipid membranes. Specular X-ray reflectivity data indicated that the addition of Cd2+ ions induces the compaction of the polymer…

Soft Condensed Matter · Physics 2022-03-29 Felix Weissenfeld , Lucia Wesenberg , Masaki Nakahata , Marcus Müller , Motomu Tanaka

Viscous streaming is an efficient rectification mechanism to exploit flow inertia at small scales for fluid and particle manipulation. It typically entails a fluid vibrating around an immersed solid feature that, by concentrating stresses,…

Fluid Dynamics · Physics 2024-11-20 Songyuan Cui , Yashraj Bhosale , Mattia Gazzola

We study the deformation of a two-dimensional viscous droplet in simple shear in the presence of odd viscosity. We derive an analytical solution for the droplet shape and surrounding flow field within the framework of odd Stokes flow,…

Soft Condensed Matter · Physics 2026-05-11 Thomas Appleford , Hugo França , Maziyar Jalaal

Elastic strips provide a canonical system for studying the mechanisms governing elastic shape transitions. Buckling, linear snap-through, and nonlinear snap-through have been observed in boundary-actuated strips and linked to the type of…

Soft Condensed Matter · Physics 2023-06-21 Basile Radisson , Eva Kanso

The shape dynamics of fluid vesicles is governed by the coupling of the flow within the two-dimensional membrane to the hydrodynamics of the surrounding bulk fluid. We present a numerical scheme which is capable of solving this flow problem…

Condensed Matter · Physics 2009-10-28 Martin Kraus , Wolfgang Wintz , Udo Seifert , Reinhard Lipowsky

We analyze the creeping flow generated by a spherical particle moving through a viscous fluid with nematic directional order, in which momentum diffusivity is anisotropic and which opposes resistance to bending. Specifically, we provide…

Fluid Dynamics · Physics 2013-09-11 Manuel Gómez-González , Juan C. del Álamo

We analyze the stability and dynamics of toroidal liquid droplets. In addition to the Rayleigh instabilities akin to those of a cylindrical droplet there is a shrinking instability that is unique to the topology of the torus and dominates…

Soft Condensed Matter · Physics 2015-03-17 Zhenwei Yao , Mark Bowick

Vesicle dynamics in unbounded Poiseuille flow is analyzed using a small-deformation theory. Our analytical results quantitatively describe vesicle migration and provide new physical insights. At low ratio between the inner and outer…

Biological Physics · Physics 2015-05-13 Gerrit Danker , Petia Vlahovska , Chaouqi Misbah

Viscous streaming is an efficient mechanism to exploit inertia at the microscale for flow control. While streaming from rigid features has been thoroughly investigated, when body compliance is involved, as in biological settings, little is…

Fluid Dynamics · Physics 2022-02-22 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola

Inspired by the recent realization of a 2D chiral fluid as an active monolayer droplet moving atop a 3D Stokesian fluid, we formulate mathematically its free-boundary dynamics. The surface droplet is described as a general 2D linear,…

Fluid Dynamics · Physics 2022-11-16 Leroy L. Jia , William T. M. Irvine , Michael J. Shelley

We present an adaptive arbitrary-order accurate time-stepping numerical scheme for the flow of vesicles suspended in Stokesian fluids. Our scheme can be summarized as an approximate implicit spectral deferred correction (SDC) method.…

Numerical Analysis · Mathematics 2014-05-27 Bryan Quaife , George Biros

A Stokes layer, which is a flow pattern that arises in a viscous fluid adjacent to an oscillatory boundary, was observed in an experiment using a two-dimensional strongly coupled dusty plasma. Liquid conditions were maintained using laser…

Plasma Physics · Physics 2021-10-13 Jorge Berumen , J. Goree

In this paper, the dynamics of spontaneous shape fluctuations of a single, giant quasi-spherical vesicle formed of a single lipid species is revisited theoretically. A coherent physical theory for the dynamics is developed based on a number…

Soft Condensed Matter · Physics 2009-11-07 Ling Miao , Michael A. Lomholt , Jesper Kleis

Heterogeneities in the cell membrane due to coexisting lipid phases have been conjectured to play a major functional role in cell signaling and membrane trafficking. Thereby the material properties of multiphase systems, such as the line…

Soft Condensed Matter · Physics 2013-04-17 Stefan Semrau , Timon Idema , Laurent Holtzer , Thomas Schmidt , Cornelis Storm

Periodic travelling waves at the free surface of an incompressible inviscid fluid in two dimensions under gravity are numerically computed for an arbitrary vorticity distribution. The fluid domain over one period is conformally mapped from…

Fluid Dynamics · Physics 2025-02-26 Alex Doak , Vera Mikyoung Hur , Jean-Marc Vanden-Broeck

We present experimental results on the relaxation dynamics of vesicles subjected to a time-dependent elongation flow. We observed and characterized a new instability, which results in the formation of higher order modes of the vesicle shape…

Soft Condensed Matter · Physics 2011-02-01 Vasiliy Kantsler , Enrico Segre , Victor Steinberg

We develop and implement a Bayesian approach for the estimation of the shape of a two dimensional annular domain enclosing a Stokes flow from sparse and noisy observations of the enclosed fluid. Our setup includes the case of direct…

Optimization and Control · Mathematics 2023-07-19 Jeff Borggaard , Nathan E. Glatt-Holtz , Justin A. Krometis