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Rheological properties of a material often require to be probed under extensional deformation. Examples include fibrous materials such as spider-silk, high-molecular weight polymer melts, and the contractile response of living cells. Such…

Soft Condensed Matter · Physics 2020-12-22 Sushil Dubey , Sukh Veer , Seshagiri Rao R , Chirag Kalelkar , Pramod A Pullarkat

Suspensions of copper nanowires are emerging as new electronic inks for next-generation flexible electronics. Using a novel surface acoustic wave driven extensional flow technique we are able to perform currently lacking analysis of these…

We extend classical Flory-Rehner theory for the expansion and compression of porous materials such as cross-linked polymer networks. The theory includes volume exclusion, affinity with the solvent, and finite stretching of the polymer…

Chemical Physics · Physics 2023-09-28 P. M. Biesheuvel , H. Fan , M. Elimelech

We describe recent attempts to extract the shear viscosity of the dilute Fermi gas at unitarity from experiments involving scaling flows. A scaling flow is a solution of the hydrodynamic equations that preserves the shape of the density…

Quantum Gases · Physics 2015-05-14 Thomas Schaefer , Clifford Chafin

The paper derives a relation for the viscosity of undercooled liquids on the basis of the pragmatical model concept of Eshelby relaxations with a finite lifetime. From accurate shear relaxation data in the literature, one finds that…

Disordered Systems and Neural Networks · Physics 2017-06-21 U. Buchenau

We present numerical studies of stretching of Hookean dumbbells in a turbulent Navier-Stokes flow with a linear mean profile, <u_x>=Sy. In addition to the turbulence features beyond the viscous Kolmogorov scale \eta, the dynamics at the…

Chaotic Dynamics · Physics 2009-11-11 Jahanshah Davoudi , Joerg Schumacher

The determination of the shear viscosity is a central topic in various areas of modern physics. In particular, it is often necessary to evaluate the shear viscosity $\eta$ of fluids made up of more than one species, all interacting with…

High Energy Physics - Phenomenology · Physics 2025-12-15 Gabriele Parisi , Vincenzo Nugara , Salvatore Plumari , Vincenzo Greco

We present and review several models of fractional viscous stresses from the literature, which generalise classical viscosity theories to fractional orders by replacing total strain derivatives in time with fractional time derivatives. We…

Soft Condensed Matter · Physics 2024-03-14 Harold Berjamin , Michel Destrade

This study presents an experimental framework for large amplitude oscillatory extension (LAOE) to investigate nonlinear material properties of complex fluids. Using a microfluidic optimized shape cross-slot extensional rheometer, we…

We investigate a variety of different polymer solutions in shear and elongational flow. The shear flow is created in the cone-plate-geometry of a commercial rheometer. We use capillary thinning of a filament that is formed by a polymer…

Soft Condensed Matter · Physics 2009-09-15 A. Zell , S. Gier , S. Rafaï , C. Wagner

In this paper we study the convergence of a power-law model for dilatant compressible fluids to a class of models exhibiting a maximum admissible shear rate, called thick compressible fluids. These kinds of problems were studied previously…

Analysis of PDEs · Mathematics 2025-07-22 Didier Bresch , Cosmin Burtea , Maja Szlenk

The present study investigates the linear stability of Riemann ellipsoids in both the inviscid limit and in the presence of weak viscosity. In the inviscid regime, we derive a generalised Poincare equation governing small fluid oscillations…

Fluid Dynamics · Physics 2026-02-09 Joris Labarbe

This paper evaluates the behavior of a single rigid ellipsoidal particle suspended in homogenous viscous flow with a power-law Generalized Newtonian Fluid (GNF) rheology using a custom-built finite element analysis (FEA) simulation. The…

Fluid Dynamics · Physics 2025-01-07 Aigbe Awenlimobor , Douglas E. Smith

We perform linear stability analysis and nonlinear slender filament simulations of extensional necking in complex fluids and soft solids, during the stress relaxation process following an interrupted strain ramp. We start by deriving…

Soft Condensed Matter · Physics 2017-07-11 David M. Hoyle , Suzanne M. Fielding

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

Understanding the flow dynamics of non-Newtonian fluids is crucial in various engineering, industrial, and biomedical applications. However, the existing generalized Reynolds number formulations for non-Newtonian fluids have limited…

Fluid Dynamics · Physics 2024-07-04 Coskun Bilgi , Niema M Pahlevan

The Piezo-electric Shear Gauge (PSG) [Christensen & Olsen, Rev. Sci. Instrum. 66, 5019, 1995] is a rheometric technique developed to measure the complex shear modulus of viscous liquids near their glass transition temperature. We report…

The linear and nonlinear rheological behavior of two rod-like particle suspensions as a function of concentration is studied using small amplitude oscillatory shear, steady shear and capillary breakup extensional rheometry. The rod-like…

The viscosity of lipid bilayer membranes plays an important role in determining the diffusion constant of embedded proteins and the dynamics of membrane deformations, yet it has historically proven very difficult to measure. Here we…

Soft Condensed Matter · Physics 2013-08-30 Aurelia R. Honerkamp-Smith , Francis G. Woodhouse , Vasily Kantsler , Raymond E. Goldstein

This study focuses on comparing the individual polymer chain dynamics in an entangled polymeric liquid under different shear and extension rates. Polymer chains under various shear rates and extension rates were simulated using a…

Chemical Physics · Physics 2021-01-15 Behrouz Behdani , Tong Mou , Cody Spratt , Slava Butcovich , Ryan Gettler , Joontaek Park