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Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary…

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…

Soft Condensed Matter · Physics 2007-05-23 Ellak Somfai , Alexander N. Morozov , Wim van Saarloos

We study the steady flow-induced deformation between an incompressible non-Newtonian fluid and a three-dimensional (3D) deformable channel. Specifically, we provide a comprehensive experimental--theoretical framework for such flows of…

Fluid Dynamics · Physics 2025-09-04 SungGyu Chun , Ivan C. Christov , Jie Feng

We investigate the dynamics of freely expanding liquid sheets prepared with fluids with different rheological properties, (i) viscous fluids with a zero-shear viscosity $\eta_0$ in the range $(1-1000) \, \mathrm{mPa.s}$ and (ii)…

Soft Condensed Matter · Physics 2017-01-05 Srishti Arora , Christian Ligoure , Laurence Ramos

The aim of this paper is to calculate the time dependence of the mean position (and orientation) of a fluid particle when a fluid system at thermodynamic equilibrium is submitted to a mechanical action. The starting point of this novel…

Soft Condensed Matter · Physics 2022-04-25 Frederic Aitken , Ferdinand Volino

Viscoelastic rate-type fluid models constitute a fundamental framework for the mathematical description of complex materials exhibiting coupled elastic and viscous effects, with a wide range of applications in engineering, biomaterials, and…

Analysis of PDEs · Mathematics 2026-05-01 Miroslav Bulíček , Tomáš Los , Jakub Woźnicki

Viscoelastic rate-type fluids are popular models of choice in many applications involving flows of fluid-like materials with complex micro-structure. A well-developed mathematical theory for the most of these classical fluid models is…

Analysis of PDEs · Mathematics 2024-03-27 Miroslav Bulíček , Tomáš Los , Josef Málek

We study a variant of the well known Maxwell model for viscoelastic fluids, namely we consider the Maxwell fluid with viscosity and relaxation time depending on the pressure. Such a model is relevant for example in modelling behaviour of…

Numerical Analysis · Computer Science 2016-08-14 Satish Karra , Vít Průša , K. R. Rajagopal

We use numerical simulations to address locomotion at zero Reynolds number in viscoelastic (Giesekus) fluids. The swimmers are assumed to be spherical, to self-propel using tangential surface deformation, and the computations are…

Fluid Dynamics · Physics 2015-06-12 Lailai Zhu , Eric Lauga , Luca Brandt

Newtonian pipe flow is known to be linearly stable at all Reynolds numbers. We report, for the first time, a linear instability of pressure driven pipe flow of a viscoelastic fluid, obeying the Oldroyd-B constitutive equation commonly used…

Fluid Dynamics · Physics 2018-07-18 Piyush Garg , Indresh Chaudhary , Mohammad Khalid , V Shankar , Ganesh Subramanian

A numerical study of yield-stress fluids flowing in porous media is presented. The porous media is randomly constructed by non-overlapping mono-dispersed circular obstacles. Two class of rheological models are investigated:…

Fluid Dynamics · Physics 2024-05-30 Saeed Parvar , Emad Chaparian , Outi Tammisola

We consider a continuum model of active viscoelastic matter, whereby an active nematic liquid-crystal is coupled to a minimal model of polymer dynamics with a viscoelastic relaxation time $\tau_C$. To explore the resulting interplay between…

Soft Condensed Matter · Physics 2016-03-30 E. J. Hemingway , M. E. Cates , S. M. Fielding

We study theoretically the viscoelastic properties of sheared binary fluids that have strong dynamical asymmetry between the two components. The dynamical asymmetry arises due to asymmetry between the viscoelastic stresses, particularly the…

Soft Condensed Matter · Physics 2009-11-10 Vinay Dwivedi , Rajeev Ahluwalia , Turab Lookman , Avadh Saxena

We propose in this work the first symmetric hyperbolic system of conservation laws to describe viscoelastic flows of Maxwell fluids, i.e. fluidswith memory that are characterized by one relaxation-time parameter. Precisely, the system of…

Numerical Analysis · Mathematics 2019-08-12 Sébastien Boyaval

This study examines the flow of dense granular materials under external shear stress and pressure using discrete element method simulations. In this method, the material is allowed to strain along all periodic directions and adapt its solid…

Soft Condensed Matter · Physics 2020-11-24 Ishan Srivastava , Leonardo E. Silbert , Gary S. Grest , Jeremy B. Lechman

We show that, at low inertia and large elasticity, shell models of viscoelastic fluids develop a chaotic behaviour with properties similar to those of elastic turbulence. The low dimensionality of shell models allows us to explore a wide…

Fluid Dynamics · Physics 2016-03-08 Samriddhi Sankar Ray , Dario Vincenzi

An alternative step in understanding the flows of near wall drag-reducing turbulence can be examining the flow in a well-organized streamwise vortex with a laminar background. Herein, we studied the flow behaviors of the Giesekus…

Fluid Dynamics · Physics 2019-09-11 Tomohiro Nimura , Takuya Kawata , Takahiro Tsukahara

Turbulence is one of the most fascinating phenomena in nature and one of the biggest challenges for modern physics. It is common knowledge that a flow of a simple, Newtonian fluid is likely to be turbulent, when velocity is high, viscosity…

Chaotic Dynamics · Physics 2017-05-10 Alexander Groisman , Victor Steinberg

We introduce a class of continuum mechanical models aimed at describing the behaviour of viscoelastic fluids by incorporating concepts originated in the theory of solid plasticity. Within this class, even a simple model with constant…

Soft Condensed Matter · Physics 2024-09-04 Muhanna A. H Alrashdi , Giulio G. Giusteri

Boger fluids are viscoelastic liquids having constant viscosity for a broad range of shear rates. They are commonly used to separate the effects of liquid elasticity from viscosity in any experiment. We present an experimental study on the…

Fluid Dynamics · Physics 2024-03-12 Navin Kumar Chandra , Shubham Sharma , Saptarshi Basu , Aloke Kumar
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