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We consider a control system describing the interaction of water waves with a partially immersed rigid body constraint to move only in the vertical direction. The fluid is modeled by the shallow water equations. The control signal is a…

Analysis of PDEs · Mathematics 2021-08-12 Pei Su , Marius Tucsnak

We numerically study the effect of an active turbulent environment on a passive deformable droplet. The system is simulated using coupled hydrodynamic and nematodynamic equations for nematic liquid crystals with an active stress which is…

Soft Condensed Matter · Physics 2024-05-06 Chamkor Singh , Abhishek Chaudhuri

The dynamic behavior of a partially wetting polymer droplet driven over a nanostructured interface is studied using molecular dynamics simulations. We consider the bead-spring model to represent a polymeric liquid that partially wets a…

Soft Condensed Matter · Physics 2020-06-17 Anish Thomas , Nikolai V. Priezjev

Our work focuses on an experimental investigation of droplets freely rising through a miscible, more viscous liquid. We report observations of water droplets rising through glycerol and corn syrup, which are common household ingredients.…

Fluid Dynamics · Physics 2021-03-31 Endre Joachim Mossige , Vinny Chandran Suja , Daniel J. Walls , Gerald G. Fuller

Droplet impact on surfaces is ubiquitous in many natural and industrial processes. While the impact dynamics of droplets composed of simple fluids have been studied extensively, droplets containing particles are less explored, but are more…

Fluid Dynamics · Physics 2023-06-30 Boqian Yan , Xiaoyu Tang

The shape of a weightless spinning liquid droplet is governed by the balance between the surface tension and centrifugal forces. The axisymmetric shape for slow rotation becomes unstable to a non-axisymmetric distortion above a critical…

Fluid Dynamics · Physics 2008-12-13 R. J. A. Hill , L. Eaves

Ball and hoop system is a well-known model for the education of linear control systems. In this paper, we have a look at this system from another perspective and show that it is also suitable for demonstration of more advanced control…

Systems and Control · Computer Science 2017-06-23 Martin Gurtner , Jiří Zemánek

Firstly, we get the completely bouncing criteria Cr for droplet on moving substrate. The bouncing without splashing condition is $\mathrm{Cr}>1$. Then, we mainly research the effect of wind field for droplet, and get the completely bouncing…

Fluid Dynamics · Physics 2023-07-11 Chengwu Liu

We report a new type of drop instability, where the density difference between the drop and the solvent is negative. We show that the drop falls inside the solvent down to a minimum height, then fragmentation takes place and secondary…

Chaotic Dynamics · Physics 2016-08-16 Paul K. Buah-Bassuah , René Rojas , Stefania Residori , Fortunato Tito Arecchi

Motivated by recent experiments, we consider theoretically the compression of droplets pinned at the bottom on a surface of finite area. We show that if the droplet is sufficiently compressed at the top by a surface, it will always develop…

Fluid Dynamics · Physics 2017-08-03 Gwynn J. Elfring , Eric Lauga

At atmospheric pressure, a drop of ethanol impacting on a solid surface produces a splash. Reducing the ambient pressure below its atmospheric value suppresses this splash. The origin of this so-called pressure effect is not well understood…

Fluid Dynamics · Physics 2018-06-13 A. M. P. Boelens , A. Latka , J. J. de Pablo

A liquid drop impacting a dry solid surface with sufficient kinetic energy will splash, breaking apart into numerous secondary droplets. This phenomenon shows many similarities to forced wetting, including the entrainment of air at the…

Fluid Dynamics · Physics 2018-02-14 Andrzej Latka , Arnout M. P. Boelens , Sidney R. Nagel , Juan J. de Pablo

The unusually high surface tension of room temperature liquid metal is molding it as unique material for diverse newly emerging areas. However, unlike its practices on earth, such metal fluid would display very different behaviors when…

In the modern world, the focus of natural science research thought has shifted mainly to the molecular level, including the study of water. Water is considered as a mixture of interacting H2O molecules and their clusters based on the data…

Soft Condensed Matter · Physics 2022-05-24 Tatyana Yakhno , Anatoly Sanin , Vladimir Yakhno

This paper studies the feedback stabilization problem of the motion of a tank that contains an incompressible, Newtonian, viscous liquid. The control input is the force applied on the tank and the overall system consists of two nonlinear…

Optimization and Control · Mathematics 2021-08-26 Iasson Karafyllis , Miroslav Krstic

When a fluid jet strikes an inclined solid surface at normal incidence, gravity creates a flow pattern with a thick outer rim resembling a parabola and reminiscent of a hydraulic jump. There appears to be little theory or experiments…

Fluid Dynamics · Physics 2010-09-02 Jean-Luc Thiffeault , Andrew Belmonte

This study investigates the upward transport of waterborne pollutants from a lower container to an upper container through vertically falling water streams. While previous analyses have primarily focused on inclined channels, we extend the…

Fluid Dynamics · Physics 2025-04-24 D. Suárez-Fontanella , A. Cabo Montes de Oca

The elastocapillary instability of a flexible plate plunged in a liquid bath is analysed theoretically. We show that the plate can bend due to two separate destabilizing mechanisms, when the liquid is partially wetting the solid. For…

Fluid Dynamics · Physics 2015-05-30 Bruno Andreotti , Antonin Marchand , Siddhartha Das , Jacco H. Snoeijer

We address an experimental investigation of evaporation waves. These waves appear when a liquid contained in a vertical glass tube is suddenly depressurized from a high initial pressure down to the atmospheric one. The state of the liquid…

Fluid Dynamics · Physics 2010-10-18 Jose Grana-Otero , Ignacio E. Parra

In this paper, we consider a moving rigid solid immersed in a potential fluid. The fluid-solid system fills the whole two dimensional space and the fluid is assumed to be at rest at infinity. Our aim is to study the inverse problem,…

Analysis of PDEs · Mathematics 2015-05-19 Carlos Conca , Muslim Malik , Alexandre Munnier
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