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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…

软凝聚态物质 · 物理学 2007-05-23 Subrata Sanyal , Dmitry Yavich , L. Gary Leal

The thermodynamical model of visco-elastic deformable solids at finite strains is formulated in a fully Eulerian way in rates. Also effects of thermal expansion or buoyancy due to evolving mass density in a gravity field are covered. The…

偏微分方程分析 · 数学 2023-09-14 Tomáš Roubíček

We present a novel method to investigate the dynamics of a single semiflexible polymer, subject to anisotropic friction in a viscous fluid. In contrast to previous approaches, we do not rely on a discrete bead-rod model, but introduce a…

生物大分子 · 定量生物学 2009-11-13 Tobias Munk , Oskar Hallatschek , Chris H. Wiggins , Erwin Frey

We present a new computational methodology for the investigation of gel electrophoresis of polyelectrolytes. We have developed the method initially to incorporate sliding motion of tight parts of a polymer pulled by an electric field into…

软凝聚态物质 · 物理学 2009-10-31 Ryuzo Azuma , Hajime Takayama

The hydrodynamics of viscoelastic materials (for example polymer melts and solutions) presents interesting and complex phenomena, for example instabilities and turbulent flow at very low Reynolds numbers due to normal stress effects and the…

软凝聚态物质 · 物理学 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos

Many biological materials such as cervical mucus and collagen gel possess a fibrous micro-structure. This micro-structure affects the emergent mechanical properties of the material, and hence the functional behaviour of the system. We…

流体动力学 · 物理学 2022-02-09 M. Hopwood , B. Harding , J. E. F. Green , R. J. Dyson

We study the weak convergence behaviour of the Leimkuhler--Matthews method, a non-Markovian Euler-type scheme with the same computational cost as the Euler scheme, for the approximation of the stationary distribution of a one-dimensional…

数值分析 · 数学 2025-01-14 Xingyuan Chen , Goncalo dos Reis , Wolfgang Stockinger , Zac Wilde

The dynamics of polymer melts at the crossover between unentagled and entangled regimes is formalized here through an extension of the Cooperative Dynamics Generalized Langevin Equation (CDGLE) (\textit{J. Chem. Phys.} 110,7574 (1999)), by…

软凝聚态物质 · 物理学 2024-12-19 M. G. Guenza

The behavior of polymers in combined flow and electric fields underlies many manufacturing processes but remains poorly understood. To address this, we model charged polymers across scales. We extend the original Rouse model for a…

软凝聚态物质 · 物理学 2026-04-22 Zachary Wolfgram , Jeffrey G. Ethier , Matthew Grasinger

Using molecular dynamics simulations, we determine the linear and nonlinear viscoelastic properties of a model polymer melt in the unentangled regime. Several approaches are compared for the computation of linear moduli, including…

材料科学 · 物理学 2007-05-23 Mihail Vladkov , J. -L. Barrat

We study experimentally the interfacial instability between a layer of dilute polymer solution and water flowing in a thin capillary. The use of microfluidic devices allows us to observe and quantify in great detail the features of the…

流体动力学 · 物理学 2015-05-20 Oriane Bonhomme , Alexander Morozov , Jacques Leng , Annie Colin

Based on non-equilibrium molecular dynamics simulations of entangled polymer melts, a recent Letter [Phys. Rev. Lett. $\textbf{121}$, 047801 (2018), arXiv:1806.09509] claims that the rising extensional stress is quantitatively consistent…

软凝聚态物质 · 物理学 2019-02-13 Wen-Sheng Xu , Christopher N. Lam , Jan-Michael Y. Carrillo , Bobby G. Sumpter , Yangyang Wang

The nanoscale fluctuation dynamics of semi dilute high molecular weight polymer solutions of Polyethylenoxide (PEO) in D2O under non-equilibrium flow conditions were studied by the neutron spin-echo technique. The sample cell was in…

流体动力学 · 物理学 2011-06-16 Maikel C. Rheinstadter , Rainer Sattler , Wolfgang Haeussler , Christian Wagner

The processing of thin-structured materials in a fluidic environment, from nearly inextensible but flexible graphene sheets to highly extensible polymer films, arises in many applications. So far, little is known about the dynamics of such…

软凝聚态物质 · 物理学 2022-02-15 Yijiang Yu , Michael D. Graham

We study properties of dilute polymer solutions which are known to depend strongly on polymer elongation. The probability density function (PDF) of polymer end-to-end extensions $R$ in turbulent flows is examined. We demonstrate that if the…

chao-dyn · 物理学 2009-10-31 E. Balkovsky , A. Fouxon , V. Lebedev

We propose a unified approach to the formal long-wave reduction of several fluid models for thin-layer incompressible homogeneous flows driven by a constant external force like gravity. The procedure is based on a mathematical coherence…

数值分析 · 数学 2013-06-17 François Bouchut , Sébastien Boyaval

We have developed a new multiscale simulation technique to investigate history-dependent flow behavior of entangled polymer melt, using a smoothed particle hydrodynamics simulation with microscopic simulators that account for the dynamics…

软凝聚态物质 · 物理学 2011-11-01 Takahiro Murashima , Takashi Taniguchi

We investigate a viscoelastic flow model with a generalized memory, in which a weak-singular component is introduced in the exponential convolution kernel of classical viscoelastic flow equations that remains untreated in the literature. We…

偏微分方程分析 · 数学 2022-03-02 Yingwen Guo , Xiangcheng Zheng

We briefly review the recent advances in the rheology of entangled polymers and identify emerging research trends and outstanding challenges, especially with respect to branched polymers. Emphasis is placed on the role of well-characterized…

软凝聚态物质 · 物理学 2016-04-12 F. Snijkers , R. Pasquino , P. D. Olmsted , D. Vlassopoulos

We analyze the capillarity-driven thinning dynamics of entangled polymer solutions described by the Doi-Edwards-Marrucci-Grizzuti (DEMG) model and the Rolie-Poly (RP) model. Both models capture polymer reptation, finite rates of chain…

软凝聚态物质 · 物理学 2022-06-15 Jianyi Du , Hiroko Ohtani , Alper Kiziltas , Kevin Ellwood , Gareth H. McKinley