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Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case of a viscosity that depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general…

Dynamical Systems · Mathematics 2009-11-13 A. J. Roberts

We explore how neural differential equations (NDEs) may be trained on highly resolved fluid-dynamical models of unresolved scales providing an ideal framework for data-driven parameterizations in climate models. NDEs overcome some of the…

The microstructure and rheological properties of suspensions of neutrally buoyant hard spherical particles in Newtonian fluid under conditions of finite inertia are studied using the lattice-Boltzmann method (LBM), which is based on a…

Soft Condensed Matter · Physics 2015-06-19 Hamed Haddadi , Jeffrey F. Morris

Rheologically complex soft solids such as thermal greases consist of filler particles within a polymer matrix. These materials find applications in improving the conformity of solid-solid contacts and enhancing heat transfer. Complex soft…

Soft Condensed Matter · Physics 2025-08-08 Pranay P. Nagrani , Akshay J. Thomas , Amy M. Marconnet , Ivan C. Christov

We introduce a data-driven fractional modeling framework aimed at complex materials, and particularly bio-tissues. From multi-step relaxation experiments of distinct anatomical locations of porcine urinary bladder, we identify an anomalous…

Numerical Analysis · Mathematics 2021-10-04 Jorge L. Suzuki , Tyler G. Tuttle , Sara Roccabianca , Mohsen Zayernouri

The rheology of surface granular flows is investigated by means of measurements of velocity and number density profiles in a quasi-two-dimensional rotating cylinder, half-filled with mono-disperse steel balls. The measurements are made at…

Soft Condensed Matter · Physics 2015-06-25 Ashish V. Orpe , D. V. Khakhar

The Soft Glassy Rheology (SGR) model is a mesoscopic framework which proved to be very successful in describing flow and deformation of various amorphous materials phenomenologically (e.g. pastes, slurries, foams etc). In this paper, we…

Soft Condensed Matter · Physics 2015-06-19 Ingo Fuereder , Patrick Ilg

In this work, we study non-Newtonian fluid flow in heterogeneous porous media. We are interested in fluids presenting a specific change in rheology: Newtonian below a certain shear rate and power law above. Since porous media generally…

Fluid Dynamics · Physics 2022-03-28 Laurent Talon

We have measured the nonlinear rheological response of a model transient network over a large range of steady shear rates. The system is built up from an oil in water droplet microemulsion into which a telechelic polymer is incorporated.…

Soft Condensed Matter · Physics 2009-11-10 Eric Michel , Jacqueline Appell , Francois Molino , Jean Kieffer , Gregoire Porte

We elucidate a qualitative difference in rheology between fragile and network-forming strong liquids. In a flow field, the structural configuration is distorted in accordance with the flow symmetry, whereas the form of the interaction…

Soft Condensed Matter · Physics 2018-06-13 Akira Furukawa

In recent years, the paradigm of `soft glassy matter' has been used to describe diverse nonergodic materials exhibiting strong local disorder and slow mesoscopic rearrangement. As so far formulated, however, the resulting `soft glassy…

Soft Condensed Matter · Physics 2007-05-23 M. E. Cates , P. Sollich

We attribute similarities in the rheology of many soft materials (foams, emulsions, slurries, etc.) to the shared features of structural disorder and metastability. A generic model for the mesoscopic dynamics of ``soft glassy matter'' is…

Soft Condensed Matter · Physics 2009-10-28 Peter Sollich , Francois Lequeux , Pascal Hebraud , Michael E Cates

We consider a model dense colloidal dispersion at the glass transition, and investigate the connection between equilibrium stress fluctuations, seen in linear shear moduli, and the shear stresses under strong flow conditions far from…

Soft Condensed Matter · Physics 2009-11-13 J. J. Crassous , M. Siebenbürger , M. Ballauff , M. Drechsler , D. Hajnal , O. Henrich , M. Fuchs

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…

Fluid Dynamics · Physics 2017-09-15 M. Lanzendörfer , J. Málek , K. R. Rajagopal

Nonlocal rheologies allow for the modeling of granular flows from the creeping to intermediate flow regimes, using a small number of parameters. In this paper, we report on experiments testing how particle properties affect model…

Soft Condensed Matter · Physics 2021-08-26 Farnaz Fazelpour , Zhu Tang , Karen E. Daniels

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;…

Soft Condensed Matter · Physics 2023-10-02 Suzanne M. Fielding , James O. Cochran , Junxiang Huang , Dapeng Bi , M. Cristina Marchetti

The temporal behaviors of non-Newtonian/Newtonian two-phase flows are closely tied to flow pattern formation mechanisms, influenced significantly by the non-Newtonian index, and exhibiting nonlinear rheological characteristics. The…

Fluid Dynamics · Physics 2023-12-05 Hanhua Song , Jinsong Zhang , Zhiliang Wang

We adapt statistical models of the physics of complex fluids to study the rheology of granular liquids. This allows us to provide laws of granular rheology based on first principles, which compare well with previously established…

Soft Condensed Matter · Physics 2025-09-16 Olivier Coquand , Wolf Till Kranz , Matthias Sperl

We numerically study the shear rheology of a binary mixture of soft Active Brownian Particles, from the fluid to the disordered solid regime. At low shear rates, we find a Newtonian regime, where a Green-Kubo relation with an effective…

Soft Condensed Matter · Physics 2023-11-14 Roland Wiese , Klaus Kroy , Demian Levis

The rheology of suspensions of non-Brownian soft spheres is studied across jamming but also across the viscous and inertial regimes using a custom pressure- and volume-imposed rheometer. The study shows that the granular rheology found for…

Soft Condensed Matter · Physics 2024-06-28 Franco Tapia , Chong-Wei Hong , Pascale Aussillous , Élisabeth Guazzelli