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Viscoelastic flows transition from steady to time-dependent, chaotic dynamics under critical flow conditions, but the implications of geometric disorder for flow stability in these systems are unknown. Utilizing microfluidics, we flow a…

流体动力学 · 物理学 2020-04-29 Derek M. Walkama , Nicolas Waisbord , Jeffrey S. Guasto

We numerically investigate viscoelastic phase separation in polymer solutions under shear using a time-dependent Ginzburg-Landau model. The gross variables in our model are the polymer volume fraction and a conformation tensor. The latter…

软凝聚态物质 · 物理学 2009-11-10 Tatsuhiro Imaeda , Akira Furukawa , Akira Onuki

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

Fast advection asymptotics for a stochastic reaction-diffusion-advection equation are studied in this paper. To describe the asymptotics, one should consider a suitable class of SPDEs defined on a graph, corresponding to the stream function…

概率论 · 数学 2016-09-12 Sandra Cerrai , Mark Freidlin

When do mucus films plug lung airways? Using reduced-order simulations of a large ensemble of randomly perturbed films, we show that the answer is not determined by just the film's volume. While very thin films always stay open and very…

流体动力学 · 物理学 2025-10-17 Swarnaditya Hazra , Jason R. Picardo

In this paper, we study phase transitions in a slender circular cylinder composed of a compressible hyperelastic material with a non-convex strain energy function. We aim to construct the asymptotic solutions based on an axisymmetrical…

经典物理 · 物理学 2008-05-28 Hui-Hui Dai , Jiong Wang , Zhen Chen

The equations governing the flow of a viscous incompressible fluid around a rigid body that performs a prescribed time-periodic motion with constant axes of translation and rotation are investigated. Under the assumption that the period and…

偏微分方程分析 · 数学 2019-12-12 Thomas Eiter , Mads Kyed

We consider the stability of a porous medium submitted to a steady-state flow with free-boundary. Assuming some hypotheses, it is possible to implement the kinematic method by using an approximate pressure field bounding the true pressure…

经典物理 · 物理学 2007-05-23 Alain Corfdir

Viscoelastic fluids play a critical role in various engineering and biological applications, where their lubrication properties are strongly influenced by relaxation times ranging from microseconds to minutes. Although the lubrication…

We study an unsteady non linear fluid-structure interaction problem which is a simplified model to describe blood flow through viscoleastic arteries. We consider a Newtonian incompressible two-dimensional flow described by the Navier-Stokes…

偏微分方程分析 · 数学 2016-02-17 C. Grandmont , M. Hillairet

We propose a theory of the dynamics of polymers in dilute solution, in which the popular Zimm and Rouse models are limiting cases of infinitely large and small draining parameter. The equation of motion for the polymer segments beads) is…

软凝聚态物质 · 物理学 2007-05-23 V. Lisy , J. Tothova , A. V. Zatovsky

We model incompressible flows with an adaptive stabilized finite element method Stokes flows, which solves a discretely stable saddle-point problem to approximate the velocity-pressure pair. Additionally, this saddle-point problem delivers…

数值分析 · 数学 2020-11-19 Felix Kyburg , Sergio Rojas , Victor M. Calo

The flow of viscoelastic fluids in channels and pipes remain poorly understood, particularly at low Reynolds numbers. Here, we investigate the flow of polymeric solutions in straight channels using pressure measurements and particle…

流体动力学 · 物理学 2019-11-13 Boyang Qin , Paul F. Salipante , Steven D. Hudson , Paulo E. Arratia

In this paper, we proved the local well-posedness for the Navier-Stokes equtions describing the motion of isotropic barotoropic compressible viscous fluid flow with non-slip boundary conditions, wehre the fluid domain is the half-space in…

偏微分方程分析 · 数学 2023-11-28 Jou Chun Kuo , Yoshihiro Shibata

In this paper, we discuss whether the instability of viscoelastic flow around a circular cylinder is subcritical or supercritical by numerical simulation. The Oldroyd-B model is selected to describe the viscoelastic constitutive…

流体动力学 · 物理学 2022-08-02 Sai Peng , Jia-yu Li , Xin-hui Si , Xiao-yang Xu , Peng Yu

We provide numerical simulations of an incompressible pressure-thickening and shear-thinning lubricant flowing in a plane slider bearing. We study the influence of several parameters, namely the ratio of the characteristic lengths…

流体动力学 · 物理学 2017-09-15 M. Lanzendörfer , J. Málek , K. R. Rajagopal

We consider the simulation of isentropic flow in pipelines and pipe networks. Standard operating conditions in pipe networks suggest an emphasis to simulate low Mach and high friction regimes -- however, the system is stiff in these regimes…

数值分析 · 数学 2025-07-22 Michael Redle , Michael Herty

Gas bubbles immersed in a liquid and flowing through a large pressure gradient undergoes volumetric deformation in addition to possible deviatoric deformation. While the high density liquid phase can be assumed to be an incompressible…

计算物理 · 物理学 2018-04-18 Prapanch Nair , Gaurav Tomar

Noting that there is very little literature on the topic, a first analytical approach is proposed in this work for estimating the viscosity-like parameter of three-phase viscoplastic materials. In a first part, the conditions of application…

经典物理 · 物理学 2026-03-09 Frank Montheillet , David Piot

The lid-driven cavity flow is a well-known benchmark problem for the validation of new numerical methods and techniques. In experimental and numerical studies with viscoelastic fluids in such lid-driven flows, purely-elastic instabilities…

流体动力学 · 物理学 2016-03-08 R. G. Sousa , R. J. Poole , A. M. Afonso , F. T. Pinho , P. J. Oliveira , A. Morozov , M. A. Alves