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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

The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency,…

We consider small oscillations of micro-particles and gaseous bubbles in viscous fluid around equilibrium states under the action of a sinusoidal external force. Exact solutions to the governing integro-differential equations containing…

Fluid Dynamics · Physics 2018-02-15 Yury A. Stepanyants , Hassan K. Hassan

Nonlinear oscillations of a bubble carrying a constant charge and suspended in a fluid, undergoing periodic forcing due to incident ultrasound are studied. The system exhibits period-doubling route to chaos and the presence of charge has…

Chaotic Dynamics · Physics 2025-07-11 Thotreithem Hongray , B. Ashok , J. Balakrishnan

The non-linear dynamics of driven oscillations in the size of a spherical bubble are mapped to the dynamics of a Newtonian particle in a potential within the incompressible liquid regime. The compressible liquid regime, which is important…

Fluid Dynamics · Physics 2024-12-30 Uri Shimon , Ady Stern

An exact solution is developed for the bubble-induced acoustic microstreaming in the case of a gas bubble undergoing asymmetric oscillations. The modeling is based on the decomposition of the solenoidal, first- and second-order, vorticity…

Fluid Dynamics · Physics 2025-05-14 Claude Inserra , Cyril Mauger , Philippe Blanc-Benon , Alexander A. Doinikov

We present experimental evidence that a bubble moving in a fluid in which a well-chosen acoustic noise is superimposed can be significantly slowed down for moderate acoustic pressures. Through mean velocity measurements, we show that a…

Fluid Dynamics · Physics 2015-05-18 Remi Dangla , Cedric Poulain

Foams exhibit absorptive properties and are widely used for cleaning contaminants, oil recovery, and selective mineral extraction via froth flotation. Although foam absorption has historically been linked to equilibrium osmotic pressure,…

Soft Condensed Matter · Physics 2024-10-15 Aoi Kaneda , Rei Kurita

Yield-stress materials, which require a sufficiently large forcing to flow, are currently ill-understood theoretically. To gain insight into their yielding transition, here we study numerically the rheology of a suspension of deformable…

Bubbles in complex fluids are often desirable, and sometimes simply inevitable, in the processing of formulated products. Bubbles can rise by buoyancy, grow or dissolve by mass transfer, and readily respond to changes in pressure, thereby…

Fluid Dynamics · Physics 2020-11-02 Brice Saint-Michel , Valeria Garbin

The combined effect of fluid elasticity and yield-stress on the flow past a circular cylinder is studied by two-dimensional direct numerical simulation. We analyze the effects of yield-stress, elasticity, shear-thinning, and…

Fluid Dynamics · Physics 2023-03-17 S. Parvar , K. T. Iqbal , M. N. Ardekani , L. Brandt , O. Tammisola

The spreading under surface tension and gravity of a droplet of yield-stress fluid over a thin film of the same material is studied. The droplet converges to a final equilibrium shape once the driving stresses inside the droplet fall below…

Fluid Dynamics · Physics 2021-07-01 Maziyar Jalaal , Boris Stoeber , Neil Balmforth

The present experimental study addresses the flow of a Yield Stress Fluid with some elasticity (Carbopol gel) in a square duct. The behaviour of two fluids with lower and higher yield stress is investigated at multiple Reynolds numbers…

Fluid Dynamics · Physics 2020-01-08 Sagar Zade , Tafadzwa John Shamu , Fredrik Lundell , Luca Brandt

We observe a new type of behavior in a shear thinning yield stress fluid: freestanding convection rolls driven by vertical oscillation. The convection occurs without the constraint of container boundaries yet the diameter of the rolls is…

Soft Condensed Matter · Physics 2009-11-11 Hayato Shiba , Jori Ruppert-Felsot , Yoshiki Takahashi , Yoshihiro Murayama , Qi Ouyang , Masaki Sano

The mechanical response of yield-stress materials below the yield point remains a subject of debate. Two of the most widely used constitutive models for these materials offer fundamentally conflicting views: one permits plastic flow at all…

In this paper, we study the dynamics of a finite number of spherical bubbles in a compressible fluid within a bounded open domain of R 3 . The fluid-bubble interaction is described by a system of nonlinear partial differential equations…

Analysis of PDEs · Mathematics 2026-04-10 Fabien Lespagnol , Matthieu Hillairet

This paper presents a model for nonspherical oscillations of encapsulated bubbles coated with a polymer infused with magnetic particles, developed using membrane theory for thin weakly magnetic membranes. According to this theory, only the…

Fluid Dynamics · Physics 2026-04-30 Arun Krishna B. J. , Ganesh Tamadapu

In this work, a mathematical model based on interface energy is proposed within the framework of surface continuum mechanics to study the dynamics of encapsulated bubbles. The interface model naturally induces a residual stress field into…

Fluid Dynamics · Physics 2023-06-22 Nehal Dash , Ganesh Tamadapu

Yield stress fluids display a rich rheological phenomenology. Beyond the defining existence of a yield stress in the steady state flow curve, this includes in many materials rather flat viscoelastic spectra over many decades of frequency in…

Soft Condensed Matter · Physics 2020-04-22 Suzanne M. Fielding

Epstein and Plesset's seminal work on the rate of gas bubble dissolution and growth in a simple liquid is generalized to render it applicable to a gas bubble embedded in a soft elastic medium. Both the underlying diffusion equation and the…

Soft Condensed Matter · Physics 2016-03-14 J. M. Solano-Altamirano , John D. Malcolm , Saul Goldman