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We explore air invasion in an initially water-filled dead-end compliant microchannel containing a constriction. The phenomenon is driven by the pervaporation of the liquid present in the channel through the surrounding medium. The…

Fluid Dynamics · Physics 2022-10-11 Ludovic Keiser , Philippe Marmottant , Benjamin Dollet

Drug delivery to the brain is limited by the blood-brain barrier (BBB). We developed a capacitive micromachined ultrasonic transducer (CMUT)-based transcranial focused ultrasound system capable of both delivering therapy via BBB opening and…

Ultrasound localization microscopy offers new radiation-free diagnostic tools for vascular imaging deep within the tissue. Sequential localization of echoes returned from inert microbubbles with low-concentration within the bloodstream…

Medical Physics · Physics 2018-04-11 Oren Solomon , Ruud J. G. van Sloun , Hessel Wijkstra , Massimo Mischi , Yonina C. Eldar

We address numerical challenges in solving hyperbolic free boundary problems described by spherically symmetric conservation laws that arise in the modeling of tumor growth due to immune cell infiltrations. In this work, we normalize the…

Numerical Analysis · Mathematics 2018-09-11 Xianyi Zeng , Mashriq Ahmed Saleh , Jianjun Paul Tian

Ultrasound is known to enhance surface bubble growth and removal in catalytic and microfluidic applications, yet the contributions of rectified diffusion and microstreaming phenomena towards mass transfer remain unclear. We quantify the…

We aim at studying a novel mathematical model associated to a physical phenomenon of infiltration in an homogeneous porous medium. The particularities of our system are connected to the presence of a gravitational acceleration term…

Analysis of PDEs · Mathematics 2024-05-22 Ioana Ciotir , Dan Goreac , Juan Li , Antoine Tonnoir

We use colloidal suspensions encapsulated in emulsion droplets to model confined glass-forming liquids with tunable boundary mobility. We show dynamics in these idealized systems are governed by physical interactions with the boundary.…

Soft Condensed Matter · Physics 2014-05-29 Gary L. Hunter , Kazem V. Edmond , Eric R. Weeks

A numerical method for simulation of bubble dynamics in three-dimensional potential flows is presented. The approach is based on the boundary element method for the Laplace equation accelerated via the fast multipole method implemented on a…

Computational Physics · Physics 2019-05-07 Nail A. Gumerov , Yulia A. Pityuk , Olga A. Abramova , Iskander S. Akhatov

We present a numerical method for the solution of diffusion problems in unbounded planar regions with complex geometries of absorbing and reflecting bodies. Our numerical method applies the Laplace transform to the parabolic problem,…

Numerical Analysis · Mathematics 2024-08-19 Jesse Cherry , Alan E. Lindsay , Bryan D. Quaife

Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering…

Fluid Dynamics · Physics 2020-11-18 J. M. Lyu , Paul G. Chen , G. Boedec , M. Leonetti , M. Jaeger

We present an analytical model for the frequency response of a gas microbubble oscillating near a spherical inclusion of arbitrary size and mechanical nature (rigid, fluid, or viscoelastic) immersed in a viscous compressible fluid. The…

Fluid Dynamics · Physics 2025-12-22 Thomas Micol , Alexander A. Doinikov , Cyril Mauger , Claude Inserra

This work describes an experimental investigation on the mixing induced by a swarm of high Reynolds number air bubbles rising through a nearly homogeneous and isotropic turbulent flow. The gas volume fraction $\alpha$ and the velocity…

Fluid Dynamics · Physics 2018-12-27 Elise Alméras , Varghese Mathai , Chao Sun , Detlef Lohse

It is an interesting and important topic to study the motion of small particles in a viscous liquid in current applied research. In this paper we assume the particles are convex with arbitrary shapes and mainly investigate the interaction…

Analysis of PDEs · Mathematics 2023-05-24 Haigang Li , Longjuan Xu , Peihao Zhang

In this work, based on the moving-least-squares immersed boundary method, we proposed a new technique to improve the calculation of the volume force representing the body boundary. For boundary with simple geometry, we theoretically analyse…

Numerical Analysis · Mathematics 2021-10-27 Wenyuan Chen , Shufan Zou , Qingdong Cai , Yantao Yang

We present a novel experiment on interfacial wave dynamics in orbitally shaken cylindrical vessels containing two- and three fluid layers. The experiment was designed as a hydrodynamical model for both alu- minum reduction cells and liquid…

Fluid Dynamics · Physics 2018-08-01 Gerrit Maik Horstmann , Markus Wylega , Tom Weier

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

Computational Physics · Physics 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng

We derive an effective medium theory for acoustic wave propagation in bubbly fluid near Minnaert resonant frequency. We start with a multiple scattering formulation of the scattering problem of an incident wave by a large number of…

Analysis of PDEs · Mathematics 2016-04-29 Habib Ammari , Hai Zhang

This paper presents a comprehensive experimental and numerical investigation into the control of boundary layers using porous bleed systems. The study focuses on both supersonic and subsonic flow regimes, as well as on the control of…

The question on expansion of moving volume inside of a smooth flow of the compressible liquid is under consideration. We find a condition on initial data such that if it holds, then within a finite time either the boundary of the moving…

Mathematical Physics · Physics 2007-10-21 Olga Rozanova

We introduce an efficient boundary-adapted spectral method for peridynamic diffusion problems with arbitrary boundary conditions. The spectral approach transforms the convolution integral in the peridynamic formulation into a multiplication…

Numerical Analysis · Mathematics 2020-02-03 Siavash Jafarzadeh , Adam Larios , Florin Bobaru
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