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We analyze the steady viscoelastic fluid flow in slowly varying contracting channels of arbitrary shape and present a theory based on the lubrication approximation for calculating the flow rate-pressure drop relation at low and high Deborah…

Fluid Dynamics · Physics 2025-04-16 Bimalendu Mahapatra , Tachin Ruangkriengsin , Howard A. Stone , Evgeniy Boyko

The present study investigated the flow birefringence induced by shear components along a camera's optical axis, which has been neglected in conventional theories of photoelastic measurements. Measurements were conducted for a wide range of…

We solve the stationary Navier-Stokes equations for non-Newtonian incompressible fluids with shear dependent viscosty in domains with unbounded outlets, in the case of shear thickening viscosity, i.e. the viscosity is given by the shear…

Analysis of PDEs · Mathematics 2011-08-19 Marcelo M. Santos , Gilberlandio J. Dias

The proposed two-dimensional geometrically exact beam element extends our previous work by including the effects of shear distortion, and also of distributed forces and moments acting along the beam. The general flexibility-based…

Numerical Analysis · Mathematics 2025-08-06 Milan Jirasek , Martin Horak , Emma La Malfa Ribolla , Chiara Bonvissuto

We investigate the stretching mechanism of Finitely Extensible Nonlinear Elastic (FENE) model of polymers in a random turbulent flow. The turbulent model includes a dominant space-scale $\ell\sim N^{-1}$, a dominant time-scale $\tau$, and…

Probability · Mathematics 2026-05-18 Federico Butori , Yassine Tahraoui

The research status of the shear viscosity of nucleonic matter is reviewed. Some methods to calculate the shear viscosity of nucleonic matter are introduced, including mean free path, Green-Kubo, shear strain rate, Chapman-Enskog and…

Nuclear Theory · Physics 2024-01-05 Xian-Gai Deng , De-Qing Fang , Yu-Gang Ma

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

The shear viscosity for a heated granular binary mixture of smooth hard spheres at low-density is analyzed. The mixture is heated by the action of an external driving force (Gaussian thermostat) which exactly compensate for cooling effects…

Statistical Mechanics · Physics 2009-11-07 J. M. Montanero , V. Garzo

Comparison of a few simple models of fluid and solid membranes illustrates how shear stresses can arise from a bending energy through a coupling between curvature and surface stresses, a feature incidental to the fluid or solid nature of…

Soft Condensed Matter · Physics 2025-06-03 S. Dharmavaram , J. A. Hanna

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch

From paints to food products, solvent evaporation is ubiquitous and critically impacts product rheological properties. It affects Newtonian fluids by concentrating any non-volatile components and viscoelastic materials, which hardens up. In…

Soft Condensed Matter · Physics 2021-10-19 Pierre Lehéricey , Audrey Delots , Niels Holten-Andersen , Thibaut Divoux

Brownian motion and viscoelasticity of semiflexible polymers is a subject that has been studied for many years. Still, rigorous analysis has been hindered due to the difficulty in handling the constraint that polymer chains cannot be…

Soft Condensed Matter · Physics 2024-05-22 Zhongqiang Xiong , Ryohei Seto , Masao Doi

Periodic boundary conditions for planar mixed flows are implemented in the context of a multi-chain Brownian dynamics simulation algorithm. The effect of shear rate $\dot{\gamma}$, and extension rate $\dot{\epsilon}$, on the size of polymer…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , Chandi Sasmal , Remco Hartkamp , B. D. Todd , J. Ravi Prakash

It is well known that inertia-free shearing flows of a viscoelastic fluid with curved streamlines, such as the torsional flow between a rotating cone and plate, or the flow in a Taylor-Couette geometry, can become unstable to a…

Fluid Dynamics · Physics 2024-03-12 Rishabh V. More , Eugene Pashkovski , Reid Patterson , Gareth H. McKinley

Turbulence is ubiquitous in nature yet even for the case of ordinary Newtonian fluids like water our understanding of this phenomenon is limited. Many liquids of practical importance however are more complicated (e.g. blood, polymer melts…

The recently-discovered centre-mode instability of rectilinear viscoelastic shear flow (Garg et al. Phy. Rev. Lett. 121, 024502, 2018) has offered an explanation for the origin of elasto-inertial turbulence (EIT) which occurs at lower…

Fluid Dynamics · Physics 2022-04-20 Gergely Buza , Jacob Page , Rich R. Kerswell

The stretched exponential function, $\exp[-(t/\tau_{K})^{\beta}]$, describes various relaxation processes while it has been suggested that the power exponent, $\beta$ is derived from the non-uniformity of the process. In this paper, we…

Soft Condensed Matter · Physics 2018-09-12 Hirokazu Maruoka , Akio Nishimura , Makoto Yoshida , Keisuke Hatada

The rod-climbing or Weissenberg effect in which the free surface of a complex fluid climbs a thin rotating rod is a popular and convincing experiment demonstrating the existence of elasticity in polymeric fluids. The interface shape depends…

Fluid Dynamics · Physics 2023-02-14 Rishabh V. More , Reid Patterson , Eugene Pashkovski , Gareth H. McKinley

This work presents a hyper-viscoelastic model based on the Hencky-logarithmic strain tensor to model the response of a Tire Derived Material (TDM) undergoing moderately large deformations. TDM is a composite made by cold forging a mix of…

Classical Analysis and ODEs · Mathematics 2016-01-21 Giuseppe Montella , Sanjay Govindjee , Patrizio Neff

Cyclic multiaxial loadings of soft materials are usually studied throughout experiments involving machines that prescribe a combination of uniaxial tension and torsion. Due to the large strain framework, classical kinematic analyses of…

Classical Physics · Physics 2022-06-29 Etienne Le Mire , Erwan Verron , Bertrand Huneau , Nathan Selles