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Related papers: Remote control of moving sessile droplets

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In this paper we study the controlled motion of an arbitrary two-dimensional body in an ideal fluid with a moving internal mass and an internal rotor in the presence of constant circulation around the body. We show that by changing the…

Dynamical Systems · Mathematics 2022-02-10 Evgenii V. Vetchanin , Alexander A. Kilin

Self-propelling active matter relies on the conversion of energy from the undirected, nanoscopic scale to directed, macroscopic motion. One of the challenges in the design of synthetic active matter lies in the control of dynamic states, or…

Fluid Dynamics · Physics 2025-03-10 Prashanth Ramesh , Yibo Chen , Petra Räder , Svenja Morsbach , Maziyar Jalaal , Corinna C Maass

A partially-wetting sessile drop is driven by a sinusoidal pressure field that produces capillary waves on the liquid/gas interface. The analysis presented in Part 1 of this series (Bostwick & Steen 2014) is extended by computing response…

Fluid Dynamics · Physics 2016-05-19 Joshua B. Bostwick , Paul H. Steen

Control of a hybrid dynamical system can manifest in one of two main ways: either through the continuous or the discrete dynamics. An example of controls influencing the continuous dynamics is legged locomotion, where the joints are…

Optimization and Control · Mathematics 2022-03-29 William Clark , Dora Kassabova

We consider the evolution of contact lines for thermal convection of viscous fluids in a 2D 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…

Analysis of PDEs · Mathematics 2025-03-11 Yunrui Zheng

Most passive droplet transport strategies rely on spatial variations of material properties to drive droplet motion, leading to gradient-based mechanisms with intrinsic length scales that limit the droplet velocity or the transport…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Jesus Bueno , Hector Gomez

The transport of small quantities of liquid on a solid surface is inhibited by the resistance to motion caused by the contact between the liquid and the solid. To overcome such resistance, motion can be externally driven through gradients…

A fluid droplet in general deforms, if subject to active driving, such as a finite slip velocity or active tractions on its interface. We show that these deformations and their dynamics can be computed analytically in a perturbation theory…

Soft Condensed Matter · Physics 2023-04-19 Reiner Kree , Annette Zippelius

In the fluid transport of particles, it is generally expected that heavy particles carried by a laminar fluid flow moving downward will also move downward. We establish a theory to show, however, that particles can be dynamically levitated…

Fluid Dynamics · Physics 2017-03-20 Jean-Regis Angilella , Daniel J. Case , Adilson E. Motter

We study theoretically the self-propulsion dynamics of a small droplet on general curved surfaces by a variational approach. A new reduced model is derived based on careful computations for the capillary energy and the viscous dissipation…

Fluid Dynamics · Physics 2021-08-25 Yujuan Chen , Xianmin Xu

Suspensions of self-propelled particles, such as swimming micro-organisms, are known to undergo complex dynamics as a result of hydrodynamic interactions. This fluid dynamics video presents a numerical simulation of such a suspension, based…

Fluid Dynamics · Physics 2009-10-20 David Saintillan , Amir Alizadeh Pahlavan

We study the time evolution of a sessile liquid droplet, which is initially put onto a solid surface in a non-equilibrium configuration and then evolves towards its equilibrium shape. We adapt here the standard approach to the dynamics of…

Materials Science · Physics 2007-05-23 M. J. de Ruijter , J. De Coninck , G. Oshanin

I examine contemporary work in fluids in motion to demonstrate strong connections between art, science and technology. In one burgeoning domain, falling liquid drops impacting solid substrates or pools it is valuable to compare how artists…

Popular Physics · Physics 2013-08-28 Norman Zabusky

The influence of controlled vibrations on the granular rheology is investigated in a specifically designed experiment. We study experimentally a thin granular film spreading under the action of horizontal vibrations. A nonlinear diffusion…

Soft Condensed Matter · Physics 2009-11-13 Ivan Sanchez , Franck Raynaud , Jose Lanuza , Bruno Andreotti , Eric Clement , Igor S. Aranson

Here we report a surface curvature-induced directional movement phenomenon, based on molecular dynamics simulations, that a nanoscale water droplet at the outer surface of a graphene cone always spontaneously moves toward the larger end of…

Classical Physics · Physics 2010-11-17 Cunjing Lv , Chao Chen , Yajun Yin , Quanshui Zheng

In a recent Letter (Y. Sumino et al., PRL 94, 068301 (2005)) a spontaneous motion of an oil droplet in the surrounding aqueous media along a glass surface was reported. The authors suggested that the self-locomotion is driven by a…

Fluid Dynamics · Physics 2007-07-23 V. Berejnov , A. Leshansky

The perceived lateral position of a transmitted beam, upon propagating through a slab made of homogeneous, isotropic, dielectric material at an oblique angle, can be controlled through varying the velocity of the slab. In particular, by…

Optics · Physics 2007-05-23 Tom G. Mackay , Akhlesh Lakhtakia

Regulating grasping force to reduce slippage during dynamic object interaction remains a fundamental challenge in robotic manipulation, especially when objects are manipulated by multiple rolling contacts, have unknown properties (such as…

Robotics · Computer Science 2025-12-25 Cheng-Yu Kuo , Hirofumi Shin , Takamitsu Matsubara

The swimming of cells, far from any boundary, can arise in the absence of long-range liquid-crystalline order within the cytoplasm, but simple models of this effect are lacking. Here we present a two-dimensional model of droplet…

Soft Condensed Matter · Physics 2020-07-29 Rajesh Singh , Elsen Tjhung , Michael E. Cates

Soft materials are ubiquitous in technological applications that require deformability, for instance, in flexible, water-repellent coatings. However, the wetting properties of pre-strained soft materials are only beginning to be explored.…

Soft Condensed Matter · Physics 2025-04-15 Youchuang Chao , Hansol Jeon , Stefan Karpitschka