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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

Within the framework of variational modelling we derive a one-phase moving boundary problem describing the motion of a semipermeable membrane enclosing a viscous liquid, driven by osmotic pressure and surface tension of the membrane. For…

偏微分方程分析 · 数学 2019-02-20 Friedrich Lippoth , Mark A. Peletier , Georg Prokert

In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills a two-dimensional rectangular domain with periodic boundary…

偏微分方程分析 · 数学 2023-07-07 Ondřej Kreml , Václav Mácha , Šárka Nečasová , Srđan Trifunović

We consider a fluid model including viscoelastic and viscoplastic effects. The state is given by the fluid velocity and an internal stress tensor that is transported along the flow with the Zaremba-Jaumann derivative. Moreover, the stress…

偏微分方程分析 · 数学 2022-02-11 Thomas Eiter , Katharina Hopf , Alexander Mielke

We present an asymptotic theory for analytical characterization of the high-Reynolds-number incompressible flow of a Newtonian fluid past a shear-free circular cylinder. The viscosity-induced modifications to this flow are localized and…

流体动力学 · 物理学 2020-11-18 Anuj Kumar , Nidhil Mohamed A. R , Pritam Giri , Ratnesh K. Shukla

We study the displacement of three immiscible Stokes fluids with constant viscosities in a porous medium. The middle-layer fluid is contained in a bounded region. We give an analysis of the linear stability of this process. This stability…

偏微分方程分析 · 数学 2022-03-22 Gelu I. Pasa

We derive the general solution of the unsteady Stokes equations for an unbounded fluid in spherical polar coordinates, in both time and frequency domains. The solution is an expansion in vector spherical harmonics and given as a sum of a…

流体动力学 · 物理学 2022-07-05 Itzhak Fouxon , Alexander Leshansky , Boris Rubinstein , Yizhar Or

We report the results of three-dimensional direct numerical simulations for incompressible viscous fluid in a circular pipe flow with a sudden expansion. At the inlet, a parabolic velocity profile is applied together with a finite amplitude…

流体动力学 · 物理学 2019-01-08 Kamal Selvam , Jorge Peixinho , Ashley P. Willis

Many soft jammed materials, such as pastes, gels, concentrated emulsions, and suspensions, possess a threshold stress, known as yield stress, that must be exceeded to cause permanent deformation or flow. In rheology, the term plastic flow…

软凝聚态物质 · 物理学 2025-11-03 Yogesh M. Joshi , Alexander Ya. Malkin

The capture of a soft spherical particle by a rectangular slit leads to a non-monotonic pressure-flow rate relation at low Reynolds number. In the presence of the trapped particle the flow-induced deformations focus the streamlines and…

软凝聚态物质 · 物理学 2023-02-22 Charles Paul Moore , Julien Husson , Arezki Boudaoud , Gabriel Amselem , Charles N. Baroud

The non-linear response of entangled polymers to shear flow is complicated. Its current understanding is framed mainly as a rheological description in terms of the complex viscosity. However, the full picture requires an assessment of the…

计算物理 · 物理学 2018-08-21 Airidas Korolkovas , Philipp Gutfreund , Max Wolff

Viscous flows within an elastic structure apply stress on the solid-liquid interface. The stress-field created by the viscous flow can be utilized to counter stress created by external forces and thus may be applied as a tool for delaying…

软凝聚态物质 · 物理学 2015-02-11 Max Linshits , Amir D. Gat

In a novel approach to studying viscous accretion flows, viscosity has been introduced as a perturbative effect, involving a first-order correction in the $\alpha$-viscosity parameter. This method reduces the problem of solving a…

天体物理学 · 物理学 2015-05-13 Jayanta K. Bhattacharjee , Atri Bhattacharya , Tapas K. Das , Arnab K. Ray

We obtain the viscous and diffusive fundamental solution for monochromatic internal waves in a uniformly stratified medium and for anisotropic Brinkman flow. These solutions take the form of single integrals with logarithmic singularities,…

流体动力学 · 物理学 2026-05-18 Saikumar Bheemarasetty , Stefan G. Llewellyn Smith

Turbulent flows of viscoplastic fluids at high Reynolds numbers have been investigated recently with direct numerical simulations (DNS) but experimental results have been limited. For this reason, we carry out an experimental study of fully…

流体动力学 · 物理学 2022-07-19 Rodrigo S. Mitishita , Jordan A. MacKenzie , Gwynn J. Elfring , Ian A. Frigaard

We study the existence of weak martingale solutions to a stochastic moving boundary problem arising from the interaction between an isentropic compressible fluid and a viscoelastic structure. In the model, we consider a three-dimensional…

偏微分方程分析 · 数学 2025-05-22 Jeffrey Kuan , Krutika Tawri

The elastoviscoplastic yield-stress fluid flows in a horizontal straight tube and a bended tube have been investigated using hydrogen bubble visualization method. The experimental results are used to verify the empirical Herschel-Bulkley…

流体动力学 · 物理学 2019-03-27 Mingjun Li , Miaorong Du , Hiroshi Yamaguchi , Xiao-Dong Niu , Hiroki Nakakoji

The potential flow of an incompressible inviscid heavy fluid over a light one is considered. The integral version of the method of matched asymptotic expansion is applied to the construction of the solution over long intervals of time. The…

流体动力学 · 物理学 2015-06-17 V. M. Cherniavski , Yu. M. Shtemler

An analytical theory is developed to describe the dynamics of a closed lipid bilayer membrane (vesicle) freely suspended in a general linear flow. Considering a nearly spherical shape, the solution to the creeping-flow equations is obtained…

生物物理 · 物理学 2009-11-13 Petia M. Vlahovska , Ruben Serral Gracia

We derive an expression for the velocity profile of a pressure-driven yield-stress fluid flow-ing around a two-dimensional concentric annulus. This result allows the prediction of the effects of channel curvature on the pressure gradient…

流体动力学 · 物理学 2020-04-30 Tirion G. Roberts , Simon J. Cox