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Spontaneous rotation of a droplet induced by the Marangoni flow is analyzed in a two-dimensional system. The droplet with the small particle which supplies a surfactant at the interface is considered. We calculated flow field around the…

This paper presents the evaporation-induced freezing dynamics of pure cyclohexane droplets levitated via acoustic levitation. Acoustic levitation has attracted considerable attention across various fields owing to its potential to create…

Fluid Dynamics · Physics 2025-07-01 Misaki Mitsuno , Xiao Ma , Koji Hasegawa

The theory of solute transfer and deposit growth in evaporating sessile drops on a plane substrate is presented. The main ideas and the principal equations are formulated. The problem is solved analytically for two important geometries:…

Soft Condensed Matter · Physics 2007-05-23 Yuri Popov

A tiny air bubble can be entrapped at the bottom of a solid sphere that impacts onto a liquid pool. The bubble forms due to the deformation of the liquid surface by a local pressure buildup inside the surrounding gas, as also observed…

Fluid Dynamics · Physics 2023-07-19 Wilco Bouwhuis , Maurice H. W. Hendrix , Devaraj van der Meer , Jacco H. Snoeijer

This fluid dynamics video was submitted to the Gallery of Fluid Motion for the 2009 APS Division of Fluid Dynamics Meeting in Minneapolis, Minnesota. Drop evaporation is a simple phenomena but still unclear concerning the mechanisms of…

Fluid Dynamics · Physics 2009-10-26 D. Brutin , F. Rigollet , C. LeNiliot

We present a continuum level analytical model of a droplet of active contractile fluid consisting of filaments and motors. We calculate the steady state flows that result from a splayed polarisation of the filaments. We account for the…

Cell Behavior · Quantitative Biology 2014-02-20 Carl A. Whitfield , Davide Marenduzzo , Raphaël Voituriez , Rhoda J. Hawkins

Active fluid droplets surrounded by oil can spontaneously develop circulatory flows. However, the dynamics of the surrounding oil and their influence on the active fluid remain poorly understood. To investigate interactions between the…

Fluid Dynamics · Physics 2021-05-27 Yen-Chen Chen , Brock Jolicoeur , Chih-Che Chueh , Kun-Ta Wu

A spherical droplet is given an initial rotation in the streamwise direction and is impulsively accelerated by a uniform free stream. Numerical results for the deformation and dynamics of the droplet are obtained by utilising a finite…

Fluid Dynamics · Physics 2010-10-21 Eric K. W. Poon , Shaoping Quan , Jing Lou , Andrew S. H. Ooi

Hypothesis: Evaporation of surfactant droplets on leaves is complicated due to the complex physical and chemical properties of the leaf surfaces. However, for certain leaf surfaces for which the evaporation process appears to follow the…

We consider flow rounding: finding an integral flow from a fractional flow. Costed flow rounding asks that we find an integral flow with no worse cost. Randomized flow rounding requires we randomly find an integral flow such that the…

Data Structures and Algorithms · Computer Science 2015-07-30 Donggu Kang , James Payor

The current study uses numerical approaches to investigate the effect of droplet deformation and internal circulation on droplet dynamics. Although droplet drag is a classical area of study, there are still theoretical gaps in understanding…

Fluid Dynamics · Physics 2023-07-21 Yushu Lin , John Palmore

In this paper, we address the well-posedness of an evaporation model for a spherical liquid droplet taking into account the convective impact of an air flow in the ambient gas phase. From a mathematical perspective, we are dealing with a…

Analysis of PDEs · Mathematics 2023-12-13 Eberhard Bänsch , Martin Doß , Carsten Gräser , Nadja Ray

Annular flow is the primary characteristic of unsteady wastewater flow, which initiates entrained air and sets up the air pressure regime within the system - an important design consideration. This paper reports on an experimental…

Fluid Dynamics · Physics 2023-10-23 Yunpeng Xue , Colin Stewart , David Kelly , David Campbell , Michael Gormley

Long liquid retention times in industrial gaps, due to capillary effects, significantly affect product lifetime by facilitating corrosion on solid surfaces. Concentration-driven evaporation plays a major role in mitigating this corrosion.…

Fluid Dynamics · Physics 2025-05-20 Phil Namesnik , Alexander Eifert , Anja Lippert , Louis Mett , Uwe Janoske

During liquid evaporation, the temperature of the liquid determines the saturated vapor pressure above it, which controls the evaporation rate and thus determines the liquid temperature through latent heat. Therefore, the equations for the…

Soft Condensed Matter · Physics 2014-11-26 Xuefeng Xu

We investigate the internal flow pattern of an evaporating droplet using tomographic particle image velocimetry (PIV) when the contact line non-uniformly recedes. We observe a three-dimensional azimuthal vortex pair while the contact line…

Fluid Dynamics · Physics 2020-10-28 Hyoungsoo Kim , Naser Belmiloud , Paul W. Mertens

Recent experimental results indicate that mixing is enhanced by a reciprocal flow induced inside a levitated droplet with an oscillatory deformation [T. Watanabe et al. Sci. Rep. 8, 10221 (2018)]. Generally, reciprocal flow cannot convect…

We explore the complex dynamics of a non-coalescing drop of moderate size inside a circular hydraulic jump of the same liquid formed on a horizontal disk. In this situation the drop is moving along the jump and one observes two different…

Fluid Dynamics · Physics 2015-06-12 Alexis Duchesne , Clément Savaro , Luc Lebon , Christophe Pirat , Laurent Limat

Recently, there is much interest in droplet condensation on soft or liquid/liquid-like substrates. Droplets can deform soft and liquid interfaces resulting in a wealth of phenomena not observed on hard, solid surfaces (e.g., increased…

Soft Condensed Matter · Physics 2023-11-14 Marcus Lin , Philseok Kim , Sankara Arunachalam , Rifan Hardian , Solomon Adera , Joanna Aizenberg , Xi Yao , Dan Daniel

Pattern formation inside a liquid phase is a phenomenon involved in many different aspects of life on our planet. The droplet form of a liquid that evaporates can reveal patterns that depend on the chemistry of the droplet and the physical…

Soft Condensed Matter · Physics 2024-09-12 Vahid Nasirimarekani