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The FENE-P and sPTT viscoelastic models are widely used for modelling of complex fluids. Although they are derived from distinct micro-structural theories, these models can become mathematically identical in steady and homogeneous flows…

流体动力学 · 物理学 2023-09-04 Thomas P John , Robert J Poole , Adam Kowalski , Claudio P Fonte

Quantifying the in-plane rheology of epithelial monolayers remains challenging due to the difficulty of imposing controlled shear. We introduce a self-driven, rheometer-like assay in which collective migration generates stationary shear…

We apply the method of slowly-varying amplitudes of the electrical and magnet fields to integro-differential system of nonlinear Maxwell equations. The equations are reduced to system of differential Nonlinear Maxwell amplitude Equations…

斑图形成与孤子 · 物理学 2007-05-23 Lubomir M. Kovachev

In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relationship is assumed, it is typically formulated in terms of an…

数值分析 · 数学 2019-12-20 Patrick E. Farrell , Pablo Alexei Gazca-Orozco , Endre Süli

In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and its extended version. This paper concerns resolvent…

偏微分方程分析 · 数学 2023-09-01 Maarten V. de Hoop , Masato Kimura , Ching-Lung Lin , Gen Nakamura

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…

软凝聚态物质 · 物理学 2020-04-22 Suzanne M. Fielding

Wall-models are essential for enabling large-eddy simulations (LESs) of realistic problems at high Reynolds numbers. The present study is focused on approaches that directly model the wall shear stress, specifically on filling the gap…

流体动力学 · 物理学 2015-12-01 Stefan Hickel , Emile Touber , Julien Bodart , Johan Larsson

We numerically investigate the rheological properties of jammed frictionless granular materials under an oscillatory shear in terms of our simulation of the distinct element method. It is demonstrated that the constitutive relation between…

统计力学 · 物理学 2013-07-19 Michio Otsuki , Hisao Hayakawa

Using a combination of theory, experiment and simulation we investigate the nonlinear response of dense colloidal suspensions to large amplitude oscillatory shear flow. The time-dependent stress response is calculated using a recently…

软凝聚态物质 · 物理学 2015-05-20 J. M. Brader , M. Siebenbuerger , M. Ballauff , K. Reinheimer , M. Wilhelm , S. J. Frey , F. Weysser , M. Fuchs

Buoyant shear layers are encountered in many engineering and environmental applications and have been studied by researchers in the context of experiments and modeling for decades. Often, these flows have high Reynolds and Richardson…

流体动力学 · 物理学 2021-07-27 Naman Jain , Hieu T. Pham , Xinyi Huang , Sutanu Sarkar , Xiang Yang , Robert Kunz

Yield-stress fluids are ubiquitous and encountered in diverse fields ranging from natural muddy flows to industrial applications such as secondary battery electrode slurries and direct ink writing. Despite the proposal of various…

流体动力学 · 物理学 2026-05-20 Jehyeok Choi , Ju Min Kim , Kwang Soo Cho

Hysteretic damping is often modeled by means of linear viscoelastic approaches such as "nearly constant Attenuation (NCQ)" models. These models do not take into account nonlinear effects either on the stiffness or on the damping, which are…

经典物理 · 物理学 2010-07-28 Nicolas Delépine , Luca Lenti , Guy Bonnet , Jean-François Semblat

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

统计力学 · 物理学 2020-05-06 E. A. Jagla

Meson-meson amplitudes are important on their own and also play key roles in analyses of heavy-meson and tau decays. In this work we propose a new phenomenological model suited to all $SU(3)$ mesonic two-body final state interactions up to…

高能物理 - 唯象学 · 物理学 2020-10-28 P. C. Magalhães , A. C. dos Reis , M. R. Robilotta

Viscoelastic stress relaxation is a basic characteristic of soft matter systems such as colloids, gels, and biological networks. Although the Maxwell model of linear viscoelasticity provides a classical description of stress relaxation, the…

软凝聚态物质 · 物理学 2023-04-26 Jake Song , Niels Holten-Andersen , Gareth H. McKinley

The rheology of biological tissue is key to processes such as embryo development, wound healing and cancer metastasis. Vertex models of confluent tissue monolayers have uncovered a spontaneous liquid-solid transition tuned by cell shape;…

软凝聚态物质 · 物理学 2023-10-02 Suzanne M. Fielding , James O. Cochran , Junxiang Huang , Dapeng Bi , M. Cristina Marchetti

In wall-modeled large-eddy simulations (WMLES), the near-wall model plays a significant role in predicting the skin friction, although the majority of the boundary layer is resolved by the outer large-eddy simulation (LES) solver. In this…

流体动力学 · 物理学 2020-10-09 Kevin Patrick Griffin , Lin Fu

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…

偏微分方程分析 · 数学 2022-12-21 Sébastien Boyaval

Based on a modified expression of the rate of the convective constraint release, we present a new contour-variable model of constitutive equations in which the non-uniform segmental stretch and the non-Gaussian chain statistical treatment…

流体动力学 · 物理学 2009-08-03 Shuanhu Qi , Shuang Yang , Dadong Yan

I consider the nonaxisymmetric linear theory of a rotating, isothermal magnetohydrodynamic (MHD) shear flow. The analysis is performed in the shearing box, a local model of a thin disk, using a decomposition in terms of shearing waves,…

天体物理学 · 物理学 2011-02-11 Bryan M. Johnson