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The outcome of this paper was a shape of the interaction of two oscillating bubbles. This was done to express the secondary Bjerknes force using the Maxwell equations for a liquid. These subsequent equations were written for the quantities…

General Physics · Physics 2024-03-20 Ion Simaciu , Gheorghe Dumitrescu , Zoltan Borsos , Viorel Drafta

We derive a formula for the P\'eclet number ($\mathrm{Pe}$) by estimating the relative strengths of various terms of the momentum equation. Using direct numerical simulations in three dimensions we show that in the turbulent regime, the…

Fluid Dynamics · Physics 2016-11-29 Ambrish Pandey , Mahendra K. Verma

It is frequent for active or living entities to find themselves embedded in a surrounding medium. Resulting composite systems are usually classified as either active fluids or active solids. Yet, in reality, particularly in the biological…

Soft Condensed Matter · Physics 2025-11-07 Henning Reinken , Andreas M. Menzel

Motivated by the desire to understand complex transient behaviour in fluid flows, we study the dynamics of an air bubble driven by the steady motion of a suspending viscous fluid within a Hele-Shaw channel with a centred depth perturbation.…

The multivariable theory of nucleation [J. Chem. Phys. 124, 124512 (2006)] is applied to the problem of vapor bubbles formation in pure liquids. The presented self-consistent macroscopic theory of this process employs thermodynamics…

Soft Condensed Matter · Physics 2012-05-03 Nikolay V. Alekseechkin

Here we report experiments on particle cluster settling at high Reynolds number in quiescent fluid contained in a vessel. The particles were observed to settle in a near-circular shape irrespective of the shape of the vessel cross-section…

Fluid Dynamics · Physics 2020-03-09 Sayan Pal , Amol A. Kulkarni

A two-phase model and its application to wavefields numerical simulation are discussed in the context of modeling of compressible fluid flows in elastic porous media. The derivation of the model is based on a theory of thermodynamically…

Fluid Dynamics · Physics 2020-06-11 Evgeniy Romenski , Galina Reshetova , Ilya Peshkov , Michael Dumbser

We use X-ray imaging to study viscous resuspension. In a Taylor-Couette geometry, we shear an initially settled layer of spherical glass particles immersed in a Newtonian fluid and measure the local volume fraction profiles. In this…

Soft Condensed Matter · Physics 2019-12-19 Brice Saint-Michel , Sébastien Manneville , Steven Meeker , Guillaume Ovarlez , Hugues Bodiguel

We consider the buoyancy-driven rise and interaction between two gravity-aligned bubbles of wide radii ratio and constant volume in an elasto-visco-plastic (EVP) material, extending our previous work on equal bubbles [Kordalis et al., Phys.…

Fluid Dynamics · Physics 2024-08-26 Athanasios Kordalis , Yannis Dimakopoulos , John Tsamopoulos

Magnetically driven microparticles provide a versatile platform for probing and manipulating biological systems, yet the physical framework governing their actuation in complex environments remains only partially explored. Within the field…

Soft Condensed Matter · Physics 2025-10-15 Andrea Visonà , Robert Morel , Hélène Joisten , Bernard Dieny , Alice Nicolas

The Rayleigh-Plateau instability occurs when surface tension makes a fluid column become unstable to small perturbations. At nanometer scales, thermal fluctuations are comparable to surface energy densities. Consequently, at these scales,…

Fluid Dynamics · Physics 2023-06-21 Bryn Barker , John B. Bell , Alejandro L. Garcia

In this paper we estimate the relative strengths of various terms of the Rayleigh-B\'enard equations. Based on these estimates and scaling analysis, we derive a general formula for the large-scale velocity, $U$, or the P\'eclet number that…

Fluid Dynamics · Physics 2016-11-29 Ambrish Pandey , Abhishek Kumar , Anando G. Chatterjee , Mahendra K. Verma

We study the asymptotic dynamics of multi-bubble solutions to the focusing energy-critical wave equation in five dimensions. Assuming that the solution asymptotically decomposes into a finite superposition of spatially separated bubbles…

Analysis of PDEs · Mathematics 2026-05-28 Jacek Jendrej , Chencheng Zhang , Lifeng Zhao

The properties of decaying turbulence is studied with the help of a Generalized Hydrodynamic (GHD) fluid model in the context of two dimensional visco - elastic medium such as a strongly coupled dusty plasma system. For the incompressible…

Plasma Physics · Physics 2014-03-27 Sanat Kumar Tiwari , Vikram Singh Dharodi , Amita Das , Bhavesh G. Patel , Predhiman Kaw

Microbubbles excited by acoustic fields inside water oscillate, and generate acoustic radiation forces and drag-induced acoustic streaming. These forces can be harnessed in various biomedical applications such as targeted drug delivery and…

Fluid Dynamics · Physics 2022-05-26 Amit Dolev , Murat Kaynak , Mahmut Selman Sakar

In a companion paper [Pitrou, Phys. Rev. E 97, 043115 (2018)], a formalism allowing to describe viscous fibers as one-dimensional objects was developed. We apply it to the special case of a viscous fluid torus. This allows to highlight the…

Fluid Dynamics · Physics 2018-04-27 Cyril Pitrou

The lack of a simple operable method for longitudinal dynamic self-assembly of particles in a microchannel is one of the main problems in applying this technology to a wide range of researches, such as biomedical engineering, material…

Fluid Dynamics · Physics 2019-11-26 Linbo Liu , Haoyan Xu , Haibo Xiu , Nan Xiang , Zhonghua Ni

The main goal of this work is to clarify and quantify, by means of mathematical analysis, the role of structural viscoelasticity in the biomechanical response of deformable porous media with incompressible constituents to sudden changes in…

Analysis of PDEs · Mathematics 2017-10-03 Maurizio Verri , Giovanna Guidoboni , Lorena Bociu , Riccardo Sacco

A popular method to induce synthetic propulsion at the microscale is to use the forces created by surface-produced gas bubbles inside the asymmetric body of a catalytic swimmer (referred to in the literature as microrocket). Gas bubbles…

Fluid Dynamics · Physics 2018-03-29 Giacomo Gallino , Francois Gallaire , Eric Lauga , Sebastien Michelin

We study the rheological behavior of mixtures of foams and pastes, which can be described as suspensions of bubbles in yield stress fluids. Model systems are designed by mixing monodisperse aqueous foams and concentrated emulsions. The…

Soft Condensed Matter · Physics 2013-03-22 Michael Kogan , Lucie Ducloué , Julie Goyon , Xavier Chateau , Olivier Pitois , Guillaume Ovarlez
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