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The flow curve of various yield stress materials is singular as the strain rate vanishes, and can be characterized by the so-called Herschel-Bulkley exponent $n=1/\beta$. A mean-field approximation due to Hebraud and Lequeux (HL) assumes…

Soft Condensed Matter · Physics 2018-01-17 Jie Lin , Matthieu Wyart

Motivated by recent experimental studies of rheological hysteresis in soft glassy materials, we study numerically strain rate sweeps in simple yield stress fluids and viscosity bifurcating yield stress fluids. Our simulations of downward…

Soft Condensed Matter · Physics 2017-02-28 Rangarajan Radhakrishnan , Thibaut Divoux , Sébastien Manneville , Suzanne M. Fielding

Sheared wet foam, which stores elastic energy in bubble deformations, relaxes stress through bubble rearrangements. The intermittency of bubble rearrangements in foam leads to effectively stochastic drops in stress that are followed by…

Soft Condensed Matter · Physics 2009-11-07 Ethan Pratt , Michael Dennin

We hypothesize that combining extreme turbulence with a minute reduction in surface tension $\sigma$ (surface tension of the liquid) using surfactant provides a simple and scalable route for controlling micron scale bubble size in…

Fluid Dynamics · Physics 2026-04-28 Vivek Kumar , Prasoon Suchandra , Jason Rom , Shivam Prajapati , Suhas Jain , Cyrus Aidun

There is an ongoing debate concerning the best rheological model for liquid flows in elastohydrodynamic lubrication (EHL). Due to the small contact area and high relative velocities of bounding solids, the lubricant experiences pressures in…

Soft Condensed Matter · Physics 2019-03-12 Vikram Jadhao , Mark O. Robbins

The transient behaviour of highly concentrated colloidal liquids and dynamically arrested states (glasses) under time-dependent shear is reviewed. This includes both theoretical and experimental studies and comprises the macroscopic…

Soft Condensed Matter · Physics 2013-09-03 K J Mutch , M Laurati , C P Amann , M Fuchs , S U Egelhaaf

The present study proposes a novel and simple rheo-optical technique to investigate the relation between the rheology of complex fluids and their internal structural deformation under uniaxial extensional flow. The macroscale results of…

Fluid Dynamics · Physics 2024-04-30 Masakazu Muto , Tatsuya Yoshino , Shinji Tamano

The deformation of brittle material is primarily accompanied by micro-cracking and faulting. However, it has often been found that continuum fluid models, usually based on a non-Newtonian viscosity, are applicable. To explain this rheology,…

Materials Science · Physics 2016-12-28 K. Z. Nanjo

We present a detailed comparison of the rheological behaviour of sheared sediment beds in a pressure-driven, straight channel configuration based on data that was generated by means of fully coupled, grain-resolved direct numerical…

Fluid Dynamics · Physics 2021-07-21 B. Vowinckel , E. Biegert , E. Meiburg , P. Aussillous , É. Guazzelli

We study the Couette flow of a quasi-2d soft-glassy material in a Hele-Shaw geometry. The material is chosen to be above the jamming point, where a yield stress $\sigma_Y$ emerges, below which the material deforms elastically and above…

Soft Condensed Matter · Physics 2014-10-15 Andrea Scagliarini , Benjamin Dollet , Mauro Sbragaglia

Several surfactant molecules self-assemble in solution to form long, cylindrical, flexible wormlike micelles. These micelles can be entangled with each other leading to viscoelastic phases. The rheological properties of such phases are very…

Soft Condensed Matter · Physics 2015-06-24 A. K. Sood , Ranjini Bandyopadhyay , Geetha Basappa

Traditionally, stress fluctuations in flowing and deformed materials are overlooked, with an obvious focus on average stresses in a continuum mechanical approximation. However, these fluctuations, often dismissed as noise, hold the…

Materials Science · Physics 2024-07-02 Arturo Winters , Hans Christian Öttinger , Jan Vermant

The paper addresses the question if there exists a finite stopping time for an unforced motion of a yield stress fluid with free surface. A variation inequality formulation is deduced for the problem of yield stress fluid dynamics with a…

Fluid Dynamics · Physics 2016-11-28 Wanli Cheng , Maxim A. Olshanskii

A nonlocal interface equation is derived for two-phase fluid flow, with arbitrary wettability and viscosity contrast c=(mu_1-mu_2)/(mu_1+mu_2), in a model porous medium defined as a Hele-Shaw cell with random gap b_0+delta b. Fluctuations…

Statistical Mechanics · Physics 2009-11-07 E. Paune , J. Casademunt

Motivated by the desire to understand complex transient behaviour in fluid flows, we study the dynamics of an air bubble driven by the steady motion of a suspending viscous fluid within a Hele-Shaw channel with a centred depth perturbation.…

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…

Soft Condensed Matter · Physics 2020-04-22 Suzanne M. Fielding

The flow curves, viz. the curves of stationary stress under steady shearing, are obtained close to the glass transition in dense colloidal dispersions using asymptotic expansions in a schematic model of mode coupling theory. The shear…

Soft Condensed Matter · Physics 2010-09-15 D. Hajnal , M. Fuchs

Hydrogel consists of a crosslinked polymer matrix imbibed with a solvent such as water at volume fractions that can exceed 90\%. They are important in many scientific and engineering applications due to their tunable physiochemical…

Soft Condensed Matter · Physics 2020-06-11 Nicholas L. Cuccia , Suraj Pothineni , Brady Wu , Joshua Méndez-Harper , Justin C. Burton

We investigate three-dimensional turbulence in a stably stratified fluid driven by a vertically sheared Kolmogorov flow using direct numerical simulations of the Boussinesq equations. As stratification increases, mean profiles evolve toward…

Fluid Dynamics · Physics 2025-12-16 Alessandro Sozza , Andrea Maffioli

In this paper, we study the existence of weak solutions to a steady system that describes the motion of a micropolar electrorheological fluid. The constitutive relations for the stress tensors belong to the class of generalized Newtonian…

Analysis of PDEs · Mathematics 2021-12-16 Alex Kaltenbach , Michael Růžička
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