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The inhomogeneous Muskat problem models the dynamics of an interface between two fluids of differing characteristics inside a non-uniform porous medium. We consider the case of a porous media with a permeability jump across a horizontal…

Analysis of PDEs · Mathematics 2021-10-05 Neel Patel , Nikhil Shankar

The study of the acoustic emission of underwater gas bubbles is a subject of both theoretical and applied interest, since it finds an important application in the development of acoustic monitoring tools for detection and quantification of…

Applications · Statistics 2021-02-04 Paulo Hubert , Linilson Padovese

Understanding how bubbles influence the efficiency of water electrolysis is crucial to achieve economically competitive hydrogen, generated by renewable energy sources, such as wind and solar power. Water electrolysis is typically performed…

We investigate gas injection into water-saturated porous channels with Gaussian and parabolic axisymmetric centrelines, as idealized models of underground gas storage in dome-shaped anticlines. Exploiting the slenderness of each channel, we…

Fluid Dynamics · Physics 2026-04-23 Peter Castellucci , Radha Boya , Lin Ma , Igor L. Chernyavsky , Oliver E. Jensen

Ultrasound-driven microbubbles rectify oscillatory motion into strong steady streaming flow [1, 2]. In this fluid dynamics video, we show size-dependent trapping, focusing and sorting of microparticles, utilizing the interaction between…

Fluid Dynamics · Physics 2010-10-19 Cheng Wang , Shreyas Jalikop , Sascha Hilgenfeldt

Being motivated by recent progress in nanopore sensing, we develop a theory of the effect of large analytes, or blockers, trapped within the nanopore confines, on diffusion flow of small solutes. The focus is on the nanopore diffusion…

Quantitative Methods · Quantitative Biology 2022-07-20 Leonardo Dagdug , Alexei T. Skvortsov , Alexander M. Berezhkovskii , Sergey M. Bezrukov

The diffuse medium in and around galaxies can exist in a multi-phase state: small, cold gas clouds contributing significantly to the total mass embedded in pressure equilibrium with a hotter, more diffuse volume-filling component. Modeling…

Astrophysics of Galaxies · Physics 2022-12-28 Rainer Weinberger , Lars Hernquist

This paper is concerned with a diffusion-controlled moving-boundary problem in drug dissolution, in which the moving front passes from one medium to another for which the diffusion coefficient is many orders of magnitude smaller. It has…

Fluid Dynamics · Physics 2018-04-24 Michael Vynnycky , Sean McKee , Martin Meere , Chris McCormick , Sean McGinty

The displacement of multiphase fluid flow in a pore doublet is a fundamental problem, and is also of importance in understanding of the transport mechanisms of multiphase flows in the porous media. During the displacement of immiscible…

Fluid Dynamics · Physics 2023-06-14 Fang Shan , Zhenhua Chai , Baochang Shi , Meng Zhao

Nanobubble-related technologies have been confirmed to be useful in various fields such as climate change and the environment as well as water-based industries such as water purification, crops, horticulture, medical care, bio, and…

Fluid Dynamics · Physics 2023-10-26 Taekeun Yoo , Young-Ho Yoo , Suk-Joo Byun , A-Ram You , Chang-Hee Park , Dae-Hyun Choi , Eun-Hee Jun

The formation and entrapment of gas bubbles during solidification significantly influence the microstructure and mechanical properties of materials, from metallic alloys to ice. While gas segregation at the solidification front is…

Soft Condensed Matter · Physics 2026-04-14 Bastien Isabella , Cécile Monteux , Sylvain Deville

For regulated exocytosis, we model the morphology and dynamics of the making of the fusion pore or porosome as a cup-shaped lipoprotein structure (a dimple or pit) on the cytosol side of the plasma membrane. We describe the forming of the…

Analysis of PDEs · Mathematics 2011-11-17 Darya Apushkinskaya , Evgeny Apushkinsky , Bernhelm Booss-Bavnbek , Martin Koch

Oscillatory shear on two-dimensional monodisperse liquid foams was performed. We show that the effect of the oscillatory shear is to cause the migration of bubbles which size is greater than that of a typical bubble of the foam. These…

Soft Condensed Matter · Physics 2007-05-23 C. Quilliet , M. A. P. Idiart , B. Dollet , L. Berthier , A. Yekini

A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

The passage of single air bubbles through the horizontal interface between miscible viscoplastic and Newtonian fluids, considering various combinations of densities and viscosities for the fluid layers, is studied computationally. The…

Fluid Dynamics · Physics 2023-10-30 Marjan Zare , Ian Frigaard , Gregory Lawrence

We investigate the problem of transport of a single fluid droplet through a non-wettable superhydrophobic porous medium. A mechanical soft body model is developed and used to simulate the process of pushing fluid droplets through pore space…

Computational Physics · Physics 2020-05-01 Maciej Matyka

Porous membranes are thin solid structures that allow the flow to pass through their tiny openings, called pores. Flow inertia may play a significant role in several filtration flows of natural and engineering interest. Here, we develop a…

The entrainment of air by advancing contact lines is studied by plunging a solid plate into a very viscous liquid. Above a threshold velocity, we observe the formation of an extended air film, typically 10 microns thick, which subsequently…

Fluid Dynamics · Physics 2011-10-25 Antonin Marchand , Tak Shing Chan , Jacco H. Snoeijer , Bruno Andreotti

A lattice-gas model with heterogeneity is developed for the description of fluid condensation in finite sized one-dimensional pores of arbitrary shape. An exact solution of the model is presented for zero-temperature that reproduces the…

Statistical Mechanics · Physics 2013-08-09 Thomas P. Handford , Francisco J. Perez-Reche , Sergei N. Taraskin

Water transport through graphene-derived membranes has gained much interest recently due to its promising potential in filtration and separation applications. In this work, we explore water permeation in graphene oxide membranes using…

Mesoscale and Nanoscale Physics · Physics 2014-06-05 Ning Wei , Xinsheng Peng , Zhiping Xu
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