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Maxwell's models for viscoelastic flows are famous for their potential to unify elastic motions of solids with viscous motions of liquids in the continuum mechanics perspective. But rigorous proofs are lacking. The present note is a…

Analysis of PDEs · Mathematics 2022-12-21 Sébastien Boyaval

Fluid-structure interactions are ubiquitous in nature and technology. However, the systems are often so complex that numerical simulations or ad hoc assumptions must be used to gain insight into the details of the complex interactions…

The viscoelasticity of a two-dimensional liquid strongly-coupled dusty plasma is studied experimentally, without macroscopic shear. Positions and velocities of the dust particles, measured by video microscopy, are used as the inputs to the…

Plasma Physics · Physics 2015-06-05 Yan Feng , J. Goree , Bin Liu

Existing energy balance models, which estimate maximum droplet spreading, insufficiently capture the droplet spreading from low to high Weber and Reynolds numbers and contact angles. This is mainly due to the simplified definition of the…

Fluid Dynamics · Physics 2022-04-12 Yunus Tansu Aksoy , Pinar Eneren , Erin Koos , Maria Rosaria Vetrano

The rheology of pressure-driven flows of two-dimensional dense monodisperse emulsions in neutral wetting microchannels is investigated by means of mesoscopic lattice simulations, capable of handling large collections of droplets, in the…

Soft Condensed Matter · Physics 2019-12-03 Linlin Fei , Andrea Scagliarini , Kai H. Luo , Sauro Succi

We discuss a 1D variational problem modeling an elastic sheet on water, lifted at one end. Its terms include the membrane and bending energy of the sheet as well as terms due to gravity and surface tension. By studying a suitable…

Analysis of PDEs · Mathematics 2020-05-20 David Padilla-Garza

In this work simulations are presented of low viscosity ethanol and high viscosity silicone oil droplets impacting on a dry solid surface at atmospheric and reduced ambient pressure. The simulations are able to capture both the effect of…

Fluid Dynamics · Physics 2018-07-23 Arnout M. P. Boelens , Juan J. de Pablo

We analyzed effects of elasticity on the dynamics of fluids in porous media by studying a flow of a Maxwell fluid in a tube, which oscillates longitudinally and is subject to oscillatory pressure gradient. The present study investigates…

Geophysics · Physics 2009-11-07 D. Tsiklauri , I. Beresnev

This work presents a novel numerical investigation of the dynamics of free-boundary flows of viscoelastic liquid membranes. The governing equation describes the balance of linear momentum, in which the stresses include the viscoelastic…

Fluid Dynamics · Physics 2022-04-12 Valeria Barra , Shawn A. Chester , Shahriar Afkhami

Viscoelastic liquids are characterized by a finite static viscosity and a zero yield stress, whereas soft solids have an infinite viscosity and a non-zero yield stress. The rheological nature of viscoelastic materials has long been a…

Soft Condensed Matter · Physics 2021-09-21 F. Loosli , M. Najm , R. Chan , E. Oikonomou , A. Grados , M. Receveur , J. -F. Berret

Many engineering and physiological applications deal with situations when a fluid is moving in flexible tubes with elastic walls. In the real-life applications like blood flow, there is often an additional complexity of vorticity being…

Fluid Dynamics · Physics 2024-09-09 Rossen Ivanov , Vakhtang Putkaradze

Cilia and flagella are hair-like appendages that protrude from the surface of a variety of eukaryotic cells and deform in a wavelike fashion to transport fluids and propel cells. Motivated by the ubiquity of non-Newtonian fluids in biology,…

Fluid Dynamics · Physics 2014-03-19 J. Rodrigo Vélez-Cordero , Eric Lauga

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino

Master curves of the relaxation time, tau, or viscosity, eta, versus T^-1V^-x, where T is temperature, V the specific volume, and x a material constant, are used to deduce the effect of pressure on the dynamic crossover and the fragility.…

Soft Condensed Matter · Physics 2009-11-10 R. Casalini , C. M. Roland

Understanding and predicting the spreading of droplets on solid surfaces is crucial in many applications such as inkjet printing, printed electronics and spray coating where the fluid is a suspension and in general non-Newtonian. However,…

Soft Condensed Matter · Physics 2024-08-13 Jennifer Quirke , Matthias E. Möbius

We present a phenomenological, model-free theory for the large-distance hydrodynamic response of a viscous fluid hosting colloidal particles. The flow of the host fluid is affected by the presence of the particles, thus reflecting their…

Soft Condensed Matter · Physics 2024-11-12 Haim Diamant

Several surfactant molecules self-assemble in solution to form long, flexible wormlike micelles which get entangled with each other, leading to viscoelastic gel phases. We discuss our recent work on the rheology of such a gel formed in the…

Soft Condensed Matter · Physics 2009-10-31 Ranjini Bandyopadhyay , A. K. Sood

The response of a fluid to deformation by shear stress is known as shear viscosity. This concept arises from a macroscopic view and was first introduced by Sir Isaac Newton. Nonetheless, a fluid is a series of moving molecules that are…

Biological Physics · Physics 2018-04-12 George Hamilton , Zachary Disharoon , Hugo Sanabria

In this paper we study swimming of a model organism, the so-called Taylor's swimming sheet, in a viscoelastic fluid close to a solid boundary. This situation comprises natural habitats of many swimming microorganisms, and while previous…

Fluid Dynamics · Physics 2018-01-29 Thomas R. Ives , Alexander Morozov

We consider a free liquid sheet, taking into account the dependence of surface tension on temperature, or concentration of some pollutant. The sheet dynamics are described within a long-wavelength description. In the presence of viscosity,…

Fluid Dynamics · Physics 2018-03-14 Georgy Kitavtsev , Marco A. Fontelos , Jens Eggers