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The authors introduce dynamics of multiple air bubbles exposed to ultrasonic wave while ascending in water in the present fluid dynamics video. The authors pay attention to the shape oscillation and the transition from the volume to the…

Fluid Dynamics · Physics 2009-10-23 Keishi Matsumoto , Ichiro Ueno

We measure the liquid content, the bubble speeds, and the distribution of bubble sizes, in a vertical column of aqueous foam maintained in steady-state by continuous bubbling of gas into a surfactant solution. Nearly round bubbles…

Soft Condensed Matter · Physics 2007-05-23 K. Feitosa , Olivia L. Halt , Randall D. Kamien , D. J. Durian

We study stochastic resetting of a probe particle in a viscoelastic environment where only the probe is reset while the medium retains memory of its past dynamics. Using a minimal model with finite correlation time, we analyze the…

Statistical Mechanics · Physics 2026-03-19 Ion Santra , Debankur Das

We prove a priori estimates for the system of partial differential equations modeling the interaction between an elastic body and an incompressible fluid in a 3D curved domain. The fluid is governed by the incompressible Navier-Stokes…

Analysis of PDEs · Mathematics 2026-01-21 B. Ingimarson , I. Kukavica , W. S. Ożański

Rheology of bubble suspensions is critical for the prediction and control of bubbly flows in a wide range of industrial processes. It is well-known that the bubble suspension exhibits a shear-thinning behavior due to the bubble shape…

Fluid Dynamics · Physics 2024-12-03 Hu Sun , Qingfei Fu , Chiyu Xie , Bingqiang Ji , Lijun Yang

An acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from viscoelastic equations of motion. It is assumed that the relaxation moduli are completely monotonic. The acoustic equation differs significantly…

Mathematical Physics · Physics 2014-01-31 Andrzej Hanyga

We derive the equations of motion for relativistic elastic membranes, that is, two-dimensional elastic bodies whose internal energy depends only on their stretching, starting from a variational principle. We show how to obtain conserved…

General Relativity and Quantum Cosmology · Physics 2025-01-03 Paulo Mourão , José Natário , Rodrigo Vicente

In this paper we evaluate the dynamic effects of the fluid viscosity for fluid filled elastic tubes in the framework of a linear uni-axial theory. Because of the linear approximation, the effects on the fluid inside the elastic tube are…

Mathematical Physics · Physics 2016-09-13 Andrea Giusti , Francesco Mainardi

Mixing at the microfluidic scale is challenging due to the low Reynolds numbers and often high P\'eclet numbers. Without turbulence, mixing relies solely on diffusion, resulting in slow and inefficient mixing. We demonstrate enhanced mixing…

Fluid Dynamics · Physics 2026-03-18 Enrico Turato , Christelle N. Prinz , Jason P. Beech , Jonas. O Tegenfeldt

The rheological properties of suspensions of bubbles in yield stress fluids are investigated through experiments on model systems made of monodisperse bubbles dispersed in concentrated emulsions. Thanks to this highly tunable system, the…

Soft Condensed Matter · Physics 2014-05-26 Lucie Ducloué , Olivier Pitois , Julie Goyon , Xavier Chateau , Guillaume Ovarlez

Nonlinear oscillations of bubbles can significantly increase the attenuation of the host media. Optimization of bubble related applications needs a realistic estimation of the medium attenuation and bubble activity. A correct estimation of…

Applied Physics · Physics 2019-09-12 AJ Sojahrood , H Haghi , R Karshafian , MC Kolios

We revisit the classic problem of the stability of drops and jets held by surface tension, while regarding the compressibility of bulk fluids and spatial dimensions as free parameters. By mode analysis, it is shown that there exists a…

Fluid Dynamics · Physics 2012-05-24 Umpei Miyamoto

We present a thermo-kinetic description of anomalous diffusion of single-particles and clusters in a viscoelastic medium in terms of a non-Markovian diffusion equation involving memory functions. The scaling behaviour of these functions is…

Statistical Mechanics · Physics 2007-05-23 I. Santamaria-Holek , J. M. Rubi , A. Gadomski

The union of the particles of a stationary Poisson process of compact (convex) sets in Euclidean space is called Boolean model and is a classical topic of stochastic geometry. In this paper, Boolean models in hyperbolic space are…

Probability · Mathematics 2024-08-08 Daniel Hug , Günter Last , Matthias Schulte

The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of Lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model…

Soft Condensed Matter · Physics 2016-11-15 A. Gupta , M. Sbragaglia

Rayleigh--Taylor fluid turbulence through a bed of rigid, finite-size, spheres is investigated by means of high-resolution Direct Numerical Simulations (DNS), fully coupling the fluid and the solid phase via a state-of-the art Immersed…

Fluid Dynamics · Physics 2019-02-05 G. Sardina , L. Brandt , G. Boffetta , A. Mazzino

A new energy-consistent discretization of the viscous dissipation function in incompressible flows is proposed. It is implied by choosing a discretization of the diffusive terms and a discretization of the local kinetic energy equation and…

Fluid Dynamics · Physics 2023-07-21 Benjamin Sanderse , Francesc Xavier Trias

The duality between deformations of elastic bodies and non-inertial flows in viscous liquids has been a guiding principle in decades of research. However, this duality is broken when a spheroidal or other doubly-curved liquid film is…

Soft Condensed Matter · Physics 2023-07-20 Benny Davidovitch , Avraham Klein

Experiments on the acoustic vibrations of elastic nanostructures in fluid media have been used to study the mechanical properties of materials, as well as for mechanical and biological sensing. The medium surrounding the nanostructure is…

Fluid Dynamics · Physics 2015-07-01 Vahe Galstyan , On Shun Pak , Howard A. Stone

This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of rigid particles, for which the main difficulty is the treatment of close particles. Standard…

Analysis of PDEs · Mathematics 2022-01-13 Mitia Duerinckx , Antoine Gloria