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We report experiments on the full space and time resolved statistics of capillary wave turbulence at the air-water interface. The three-dimensional shape of the free interface is measured as a function of time by using the optical method of…

Fluid Dynamics · Physics 2013-03-18 Michael Berhanu , Eric Falcon

Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

We present the derivation of a new unidirectional model for We present the derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipes. We introduce a local reference frame to take into account the…

Analysis of PDEs · Mathematics 2010-06-02 Christian Bourdarias , Mehmet Ersoy , Stéphane Gerbi

The internal flow within an evaporating sessile droplet is one of the driving mechanisms that lead to the variety of particle deposition patterns seen in applications such as inkjet printing, surface patterning, and blood stain analysis.…

Fluid Dynamics · Physics 2023-11-29 Jiaqi Li , Jiarong Hong

Movement of soil moisture associated with tree root-water uptake is ecologically important, but technically challenging to measure. Here, the self-potential (SP) method, a passive electrical geophysical method, is used to characterize water…

Geophysics · Physics 2019-06-17 Emily Voytek , Holly Barnard , Damien Jougnot , Kamini Singha

Turbulent flows beneath a free surface play a central role in the Earth system, yet their coupling to observable surface features remains incompletely understood. Recent studies using Direct Numerical Simulations (DNS) have reported strong…

This paper presents novel and efficient strategies to spatially adapt the amount of computational effort applied based on the local dynamics of a free surface flow, for both classic weakly compressible SPH (WCSPH) and predictive-corrective…

Graphics · Computer Science 2020-10-01 Prashant Goswami , Christopher Batty

Hypothesis Control of capillary flow through porous media has broad practical implications. However, achieving accurate and reliable control of such processes by tuning the pore size or by modification of interface wettability remains…

Fluid Dynamics · Physics 2021-06-08 MingchaoLiu , Si Suo , Jian Wu , Yixiang Gan , DorianAH HanaorcC. Q. Chen

The self-potential (SP) method is a passive geophysical method that relies on the measurement of naturally occurring electrical field. One of the contributions to the SP signal is the streaming potential, which is of particular interest in…

Geophysics · Physics 2018-11-29 Mariangeles Soldi , Damien Jougnot , Luis Guarracino

Motivated by observations of saturation overshoot, this paper investigates numerical modeling of two-phase flow incorporating dynamic capillary pressure. The effects of the dynamic capillary coefficient, the infiltrating flux rate and the…

Numerical Analysis · Mathematics 2017-06-28 Hong Zhang , Paul Andries Zegeling

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

An evaporating droplet is a dynamic system in which flow is spontaneously generated to minimize the surface energy, dragging particles to the borders and ultimately resulting in the so-called "coffee-stain effect". The situation becomes…

Fluid Dynamics · Physics 2015-11-24 Alvaro Marin , Robert Liepelt , Massimiliano Rossi , Christian J. Kähler

Experimental series of stratified gas-liquid two-phase flows had been carried out in a 26 mm i.d. transparent acrylic horizontal pipe. The study was aimed to determine the interfacial wave characteristics of the flow and to develop a high…

Fluid Dynamics · Physics 2015-11-20 Hadiyan Yusuf Kuntoro , Akhmad Zidni Hudaya , Okto Dinaryanto , Deendarlianto , Indarto

We introduce a velocimetry technique based on the Doppler-shift of surface waves propagating between an emitter and a receiver. In the limit of scale separation between the wavelength and the scale of the flow, we derive the direct…

Fluid Dynamics · Physics 2017-10-09 T. Humbert , S. Aumaître , B. Gallet

The rheology of suspensions showing discontinuous shear thickening (DST) is well documented in conventional rheometer with rotating tools, but their study in capillary flow is still lacking. We present results obtained in a homemade…

Materials Science · Physics 2021-11-29 Georges Bossis , Yan Grasselli , Olga Volkova

A phase--field method is applied to the modeling of flow and breakup of droplets in a T--shaped junction in the hydrodynamic regime where capillary and viscous stresses dominate over inertial forces, which is characteristic of microfluidic…

Soft Condensed Matter · Physics 2009-11-11 Mario De Menech

The removal of liquid droplets from solid surfaces is central to cleaning, coatings and oil recovery. Here we investigate liquid droplets capillary lifted by an immiscible working liquid. The rising working liquid triggers the formation of…

Soft Condensed Matter · Physics 2025-08-05 Ke Sun , Jack R. Panter , Alvin C. M. Shek , Yonas Gizaw , Kislon Voïtchovsky , Halim Kusumaatmaja

This paper is concerned with a space-time adaptive numerical method for instationary porous media flows with nonlinear interaction between porosity and pressure, with focus on problems with discontinuous initial porosities. A convergent…

Numerical Analysis · Mathematics 2025-08-27 Markus Bachmayr , Simon Boisserée

Advancements in theoretical and algorithmic approaches, workflow engines, and an ever-increasing computational power have enabled a novel paradigm for materials discovery through first-principles high-throughput simulations. A major…

Self-rewetting fluids (SRFs), such as aqueous solutions of long-chain alcohols, exhibit anomalous quadratic dependence of surface tension on temperature having a minimum and with a positive gradient. When compared to the normal fluids…

Fluid Dynamics · Physics 2022-10-17 Bashir Elbousefi , William Schupbach , Kannan N. Premnath , Samuel W. J. Welch