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We study equilibrium states of a drop between flexible sheets clamped on both ends. Revisiting first the case of parallel sheets, we find multiple equilibria which we classify in a parameter space. In solution branching diagrams we identify…

Soft Condensed Matter · Physics 2024-07-12 Mouad Boudina , Gwynn J. Elfring

A colloidal particle driven by externally actuated rotation can self-propel parallel to a rigid boundary by exploiting the hydrodynamic coupling that surfaces induce between translation and rotation. As such a roller moves along the…

Fluid Dynamics · Physics 2020-02-20 Alexander Chamolly , Eric Lauga , Soichiro Tottori

We introduce a new measure for the stability of structures, such as the cross-section of the deck of a suspension bridge, subject to a 2D fluid force, such as the lift exerted by a laminar wind. We consider a wide class of possible flows,…

Analysis of PDEs · Mathematics 2024-04-09 Edoardo Bocchi , Filippo Gazzola

Motivated by the need for greater understanding of systems that involve interfaces between a nematic liquid crystal, a solid substrate, and a passive gas that includes nematic--substrate--gas three-phase contact lines, we analyse a…

Soft Condensed Matter · Physics 2022-04-08 Joseph R. L. Cousins , Brian R. Duffy , Stephen K. Wilson , Nigel J. Mottram

In this paper, we experimentally explore the formation, evolution and breakup of Armstrong liquid bridge. The extremely complicated evolution stage is revealed, which involves many coupled processes including the morphology change, current…

Fluid Dynamics · Physics 2021-09-06 Xueqin Pan , Man Hu , Bingrui Xu , Feng Wang , Peng Huo , Fangqi Chen , Zhibo Gu , Daosheng Deng

We analyze the structure of networks minimizing the global resistance to flow (or dissipated energy) with respect to two different constraints: fixed total channel volume and fixed total channel surface area. First, we determine the shape…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Marc Durand

A residual-based lubrication method is used in this paper to find the flow rate and pressure field in converging-diverging rigid tubes for the flow of time-independent category of non-Newtonian fluids. Five converging-diverging prototype…

Fluid Dynamics · Physics 2015-03-26 Taha Sochi

Exact solutions of a classical problem of a plane unsteady potential flow of an ideal incompressible fluid with a free boundary are presented. The fluid occupies a semi-infinite strip bounded by the free surface (from above) and (from the…

Fluid Dynamics · Physics 2021-08-13 Evgenii A. Karabut , Elena N. Zhuravleva , Nikolay M. Zubarev , Olga V. Zubareva

Many biological examples of fluid-structure interaction, including the transit of red blood cells through the narrow slits in the spleen and the intracellular trafficking of vesicles into dendritic spines, involve the near-contact of…

Numerical Analysis · Mathematics 2017-12-20 Thomas G. Fai , Chris H. Rycroft

We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our…

Fluid Dynamics · Physics 2024-01-25 Ran Holtzman , Marco Dentz , Marcel Moura , Mykyta Chubynsky , Ramon Planet , Jordi Ortin

We calculate the normal capillary retention force that anchors a drop to a solid surface in the direction perpendicular to the surface, and study the relationship between such force and the Young-Dupre work of adhesion. We also calculate…

Soft Condensed Matter · Physics 2022-06-08 Rafael de la Madrid , Huy Luong , Jacob Zumwalt

We study the mechanical contact between a deformable body with a wavy surface and a rigid flat taking into account pressurized fluid trapped in the interface. A finite element model is formulated for a general problem of trapped fluid for…

Fluid Dynamics · Physics 2021-03-23 Andrei G. Shvarts , Vladislav A. Yastrebov

See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear function of the square of the distance from that point to the…

Differential Geometry · Mathematics 2014-04-14 Bennett Palmer , Oscar Perdomo

Viscoelastic liquid transfer from one surface to another is a process that finds applications in many technologies, primarily in printing. Here, cylindrical shaped capillary bridges pinned between two parallel disks are considered.…

Fluid Dynamics · Physics 2025-05-13 Hrishikesh Pingulkar , Jorge Peixinho , Olivier Crumeyrolle

The contact angle of a liquid drop on a rigid surface is determined by the classical theory of Young-Laplace. For chemically homogeneous surfaces, this angle is a constant. We study the minimal-energy configurations of liquid drops on rough…

Mathematical Physics · Physics 2017-08-03 Gershon Wolansky

The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

Analysis of PDEs · Mathematics 2019-10-22 Edoardo Bocchi

The effects of line tension on the morphology of a lens-shaped droplet and bubble placed on the inner wall of a spherical cavity are studied. The contact angle between the lens-shaped droplet and the concave spherical substrate is expressed…

Soft Condensed Matter · Physics 2016-05-04 Masao Iwamatsu

In this paper we consider a class of weighted-volume preserving curvature flows acting on hypersurfaces that are trapped within two parallel hyperplanes and satisfy an orthogonal boundary condition. In the author's thesis the stability of…

Differential Geometry · Mathematics 2014-04-15 David Hartley

The breakup dynamics of a capillary bridge on a hydrophobic stripe between two hydrophilic stripes is studied experimentally and numerically using direct numerical simulations. The capillary bridge is formed from an evaporating water…

We study numerically how multiple deformable capsules squeeze into a constriction. This situation is largely encountered in microfluidic chips designed to manipulate living cells, which are soft entities. We use fully three-dimensional…

Soft Condensed Matter · Physics 2021-12-15 Clément Bielinski , Othmane Aouane , Jens Harting , Badr Kaoui