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We consider systematic numerical approximation of a viscoelastic phase separation model that describes the demixing of a polymer solvent mixture. An unconditionally stable discretisation method is proposed based on a finite element…

Numerical Analysis · Mathematics 2024-07-08 Aaron Brunk , Herbert Egger , Oliver Habrich , Maria Lukacova-Medvidova

In this work, we extend the analyses devoted to Newtonian viscous fluids previously reported by Ribe [Physical Review E 68, 036305 (2003)], by investigating shear thickening (dilatant) and shear thinning (pseudoplastic) effects on the…

Fluid Dynamics · Physics 2021-02-16 Anselmo Pereira , Nicolas Valade , Elie Hachem , Rudy Valette

Modeling flow in geosystems with natural fault is a challenging problem due to low permeability of fault compared to its surrounding porous media. One way to predict the behavior of the flow while taking the effects of fault into account is…

Numerical Analysis · Mathematics 2020-09-11 Youguang Chen , George Biros

We develop numerical methods to simulate the fluid-mechanical erosion of many bodies in two-dimensional Stokes flow. The broad aim is to simulate the erosion of a porous medium (e.g. groundwater flow) with grain-scale resolution. Our fluid…

Numerical Analysis · Mathematics 2018-09-26 Bryan D. Quaife , M. Nicholas J. Moore

In this study, we investigate the transition between the Newtonian and the viscoelastic regimes during the pinch-off of droplets of dilute polymer solutions and discuss its link to the coil-stretch transition. The detachment of a drop from…

Soft Condensed Matter · Physics 2025-03-18 Sreeram Rajesh , Virgile Thiévenaz , Alban Sauret

In this letter, following an extensive experimental validation, we perform constant-volume shearing simulations of non-Brownian granular suspensions using the discrete element method coupled with the lattice Boltzmann method. We choose a…

Soft Condensed Matter · Physics 2023-07-18 Zaohui Zhang , Teng Man , Herbert E. Huppert , Sergio Andres Galindo-Torres

We present the experimental results on a series of high molecular weight, entangled polystyrene solutions subjected to a ``mixed'' shear and elongational flow-type generated in a co-rotating two-roll mill. For steady-flows as well as for…

Soft Condensed Matter · Physics 2007-05-23 Subrata Sanyal , Dmitry Yavich , L. Gary Leal

The effect of shear flows on the thermal conductivity of polymer melts is investigated using a reversed nonequilibrium molecular dynamics (RNEMD) method. We extended the original RNEMD method to simultaneously produce spatial gradients of…

Soft Condensed Matter · Physics 2024-05-01 Kotaro Oda , Shugo Yasuda

A formula of steady shear viscosity is derived by introducing a model to describe the dynamics of physically cross-linked network (physical gel), and successfully analyzes the shear-thickening behavior observed in HEUR aqueous solutions by…

Soft Condensed Matter · Physics 2007-05-23 T. Indei , T. Arimitsu

When a drop of fluid hits a small solid target of comparable size, it expands radially until reaching a maximum diameter and subsequently recedes. In this work, we show that the expansion process of liquid sheets is controlled by a…

Supercooled liquids exhibit complicated dynamical behaviors: At the microscopic level, the dynamics is heterogeneous spatially, known as dynamic heterogeneity. At the macroscopic level, the shear viscosity $\eta$ decreases as shear rate…

Soft Condensed Matter · Physics 2025-09-01 Ke-Qi Zeng , Dong-Xu Yu , Zhe Wang

We consider a simple model for steady-state luminescence of single polymer chains in a dilute solution in the case when excitation quenching is due to energy transfer between a donor and an acceptor attached to the ends of the chain. We…

Soft Condensed Matter · Physics 2007-05-23 R. Reigada , I. M. Sokolov

The extrusion of polymer melts is known to be susceptible to `melt fracture' instabilities, which can deform the extrudate, or cause it to break entirely. Motivated by this, we consider the impact that the recently discovered polymer…

Fluid Dynamics · Physics 2023-11-10 Theo Lewy , Rich Kerswell

Understanding the mechanics of detrimental convective instabilities in drying polymer solutions is crucial in many applications such as the production of film coatings. It is well known that solvent evaporation in polymer solutions can lead…

Fluid Dynamics · Physics 2020-06-23 E. J. Mossige , V. Chandran Suja , M. Islamov , S. F. Wheeler , G. G. Fuller

Recent theory and experiments have shown how the buildup of a high-concentration polymer layer at a one-dimensional solvent-air interface can lead to an evaporation rate that scales with time as $t^{-1/2}$ and that is insensitive to the…

Soft Condensed Matter · Physics 2025-02-21 Max Huisman , Wilson C. K. Poon , Patrick B. Warren , Simon Titmuss , Davide Marenduzzo

We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecular dynamics simulations and apply the Irving-Kirkwood formula…

Numerical Analysis · Mathematics 2026-05-25 Ranajay Datta , Mária Lukáčová-Medviďová , Andreas Schömer , Peter Virnau

In a recent letter (Denkov et al., Phys. Rev. Lett., vol. 100 (2008) p. 138301) we calculated theoretically the macroscopic viscous stress of steadily sheared foam/emulsion from the energy dissipated inside the transient planar films,…

Soft Condensed Matter · Physics 2009-11-13 S. Tcholakova , N. D. Denkov , K. Golemanov , K. P. Ananthapadmanabhan , A. Lips

The surface tension, the adsorption, and the depletion thickness of polymers close to a single nonadsorbing colloidal sphere are computed by means of Monte Carlo simulations. We consider polymers under good-solvent conditions and in the…

Soft Condensed Matter · Physics 2014-05-06 Giuseppe D'Adamo , Andrea Pelissetto , Carlo Pierleoni

A new inversion method for determining near-surface shear currents from a measured wave spectrum is introduced. The method is straightforward to implement and starts from the existing state-of-the-art technique of assigning effective depths…

Atmospheric and Oceanic Physics · Physics 2020-02-19 Benjamin K. Smeltzer , Eirik Æsøy , Anna Ådnøy , Simen Å. Ellingsen

Results from numerical simulations of polymers under shear flow are compared with predictions for shear banding based on a model coupling Rolie-Poly-like tube dynamics to the entanglement dynamics mediated by Convected Constraint Release…

Soft Condensed Matter · Physics 2026-04-07 Lucas L. Nelson , Gary S. Grest , Peter D. Olmsted