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Viscoelastic flows occur widely, and numerical simulations of them are important for a range of industrial applications. Simulations of viscoelastic flows are more challenging than their Newtonian counterparts due to the presence of…

Fluid Dynamics · Physics 2022-06-06 Jack King , Steven Lind

We present predictions for the flow of elastoviscoplastic (EVP) fluids in the 4 to 1 planar contraction geometry. The Saramito-Herschel-Bulkley fluid model is solved via the finite-volume method with the OpenFOAM software. Both the…

Fluid Dynamics · Physics 2024-03-19 Milad Mousavi , Yannis Dimakopoulos , John Tsamopoulos

The interaction of flexible polymers with fluid flows leads to a number of intriguing phenomena observed in laboratory experiments, namely drag reduction, elastic turbulence and heat transport modification in natural convection, and is one…

Fluid Dynamics · Physics 2018-10-29 Roberto Benzi , Emily S. C. Ching

In this article, the extensional flow and viscosity and the converging-diverging geometry were examined as the basis of the peculiar viscoelastic behavior in porous media. The modified Bautista-Manero model, which successfully describes…

Fluid Dynamics · Physics 2017-05-24 Taha Sochi

Stress-induced fluidization of a simple yield stress fluid, namely a carbopol microgel, is addressed through extensive rheological measurements coupled to simultaneous temporally and spatially resolved velocimetry. These combined…

Soft Condensed Matter · Physics 2015-03-17 Thibaut Divoux , Catherine Barentin , Sébastien Manneville

A new concept of semi-compressible fluids is introduced for slightly compressible visco-elastic fluids (typically rather liquids than gasses) where mass density variations are negligible in some sense, while being directly controlled by…

Analysis of PDEs · Mathematics 2020-04-17 Tomáš Roubíček

We investigate the influence of elastic turbulence on mixing of a scalar concentration field within a viscoelastic fluid in a two-dimensional Taylor-Couette geometry using numerical solutions of the Oldroyd-B model. The flow state is…

Fluid Dynamics · Physics 2025-01-03 Reinier van Buel , Holger Stark

A noteworthy aspect in blood flow modeling is the definition of the mechanical interaction between the fluid flow and the biological structure that contains it, namely the vessel wall. It has been demonstrated that the addition of a viscous…

Fluid Dynamics · Physics 2022-06-14 Francesco Piccioli , Giulia Bertaglia , Alessandro Valiani , Valerio Caleffi

This paper is focused on the fundamental mechanism(s) of viscoelastic turbulence that lead to polymer induced turbulent drag reduction phenomenon. A great challenge in this problem is the computation of viscoelastic turbulent flows, since…

Fluid Dynamics · Physics 2011-11-18 Vassilios Dallas , J. Christos Vassilicos , Geoffrey F. Hewitt

When simulating three-dimensional flows interacting with deformable and elastic obstacles, current methods often encounter complexities in the governing equations and challenges in numerical implementation. In this work, we introduce a…

Fluid Dynamics · Physics 2026-01-09 Andreu F. Gallen , Joan Muñoz Biosca , Mario Castro , Aurora Hernández-Machado

We briefly review the recent advances in the rheology of entangled polymers and identify emerging research trends and outstanding challenges, especially with respect to branched polymers. Emphasis is placed on the role of well-characterized…

Soft Condensed Matter · Physics 2016-04-12 F. Snijkers , R. Pasquino , P. D. Olmsted , D. Vlassopoulos

We propose a new material viscoelastic model and mathematical solution to simulate relaxation modulus and viscoelastic response. The model formula of relaxation modulus is extended from sigmoidal function considering nonlinear strain…

Materials Science · Physics 2016-03-03 Qinwu Xu , Bjorn Engquist

We report a local analysis of the flow of foams in two dimensional heterogeneous model porous media. Pressure measurements are combined with direct observation in order to determine simultaneously the effective viscosity and the fraction of…

Fluid Dynamics · Physics 2020-09-23 A. Mauray , M. Chabert , H. Bodiguel

The progressive onset of slip at the wall, which corresponds to a slip length increasing with the solicitation time before reaching a plateau, has been investigated for model viscoelastic polymer solutions, allowing one to vary the longest…

Cohesive granular materials such as wet sand, snow, and powders can flow like a viscous liquid. However, the elementary mechanisms of momentum transport in such athermal particulate fluids are elusive. As a result, existing models for…

Soft Condensed Matter · Physics 2020-10-08 Matthew Macaulay , Pierre Rognon

Viscoelastic fluids are non-Newtonian fluids that exhibit both "viscous" and "elastic" characteristics in virtue of mechanisms to store energy and produce entropy. Usually the energy storage properties of such fluids are modelled using the…

Fluid Dynamics · Physics 2021-03-24 Vít Průša , K. R. Rajagopal

We pursue here the development of models for complex (viscoelastic) fluids in shallow free-surface gravity flows which was initiated by [Bouchut-Boyaval, M3AS (23) 2013] for 1D (translation invariant) cases. The models we propose are…

Numerical Analysis · Mathematics 2017-12-13 Sébastien Boyaval

A new important relation between fluid mechanics and differential geometry is established. We study smooth steady solutions to the Euler equations with the additional property: the velocity vector is orthogonal to the gradient of the…

Mathematical Physics · Physics 2023-02-14 Vladimir Yu. Rovenski , Vladimir A. Sharafutdinov

The Oldroyd-B model has been used extensively to predict a host of instabilities in shearing flows of viscoelastic fluids, often realized experimentally using polymer solutions. The present review, written on the occasion of the birth…

Creeping flow of polymeric fluid without inertia exhibits elastic instabilities and elastic turbulence accompanied by drag enhancement due to elastic stress produced by flow-stretched polymers. However, in inertia-dominated flow at high…

Fluid Dynamics · Physics 2018-10-17 Atul Varshney , Victor Steinberg
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