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Choosing a suitable model and determining its associated parameters from fitting to experimental data is fundamental for many problems in biomechanics. Models of shear-thinning complex fluids, dating from the work of Bird, Carreau, Cross…

流体动力学 · 物理学 2018-10-05 Meurig T. Gallagher , Richard A. J. Wain , Sonia Dari , Justin P. Whitty , David J. Smith

This paper presents a quasi-analytical framework for "Carreau-Yasuda-like" fluids with a viscosity characterized by two constant plateau at low and high shear rates connected by a shear-thinning branch, and flowing in slightly tapered…

流体动力学 · 物理学 2026-03-24 Gianluca Santesarti , Michele Marino , Francesco Viola , Roberto Verzicco , Giuseppe Vairo

Linear stability of horizontal and inclined stratified channel flows of Newtonian/non-Newtonian shear-thinning fluids is investigated with respect to all wavelength perturbations. The Carreau model has been chosen for the modeling of the…

流体动力学 · 物理学 2018-02-06 Davide Picchi , Ilya Barmak , Amos Ullmann , Neima Brauner

Exact solutions for laminar stratified flows of Newtonian/non-Newtonian shear-thinning fluids in horizontal and inclined channels are presented. An iterative algorithm is proposed to compute the laminar solution for the general case of a…

流体动力学 · 物理学 2017-06-20 Davide Picchi , Pietro Poesio , Amos Ullmann , Neima Brauner

In this work, we present a comprehensive theoretical analysis for Virtual Element discretizations of incompressible non-Newtonian flows governed by the Carreau-Yasuda constitutive law, in the shear-thickening regime (r > 2) including both…

In this paper we analyse a problem of a hydraulic fracture driven by a non-Newtonian shear-thinning fluid. For the PKN fracture geometry we consider three different rheological models of fluid: i) the Carreau fluid, ii) the truncated…

流体动力学 · 物理学 2020-07-09 Michal Wrobel

We address the problem of steady laminar flow of a shear-thinning fluid in rectangular ducts, which is encountered in many systems, in particular, in microfluidic and biomedical devices. However, an exact solution for the flow of…

流体动力学 · 物理学 2024-03-12 Ilya Barmak , Davide Picchi , Alexander Gelfgat , Neima Brauner

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…

流体动力学 · 物理学 2017-09-15 M. Lanzendörfer , J. Málek , K. R. Rajagopal

We provide an experimental framework to measure the flow rate--pressure drop relation for Newtonian and shear-thinning fluids in two common deformable configurations: (\textit{i}) a rectangular channel and (\textit{ii}) an axisymmetric…

流体动力学 · 物理学 2024-04-29 SungGyu Chun , Evgeniy Boyko , Ivan C. Christov , Jie Feng

Shear-thinning fluids flowing through pipes are crucial in many practical applications, yet many unresolved problems remain regarding their turbulent transition. Using highly robust numerical tools for the Carreau-Yasuda model, we…

流体动力学 · 物理学 2025-08-26 Xuerao He , Kengo Deguchi , Runjie Song , Hugh M. Blackburn

This paper proposes a hierarchical, multi-resolution framework for the identification of model parameters and their spatially variability from noisy measurements of the response or output. Such parameters are frequently encountered in…

数学物理 · 物理学 2015-05-13 P. S. Koutsourelakis

Gravity-driven flows of liquid films are frequent in nature and industry, such as in landslides, lava flow, cooling of nuclear reactors, and coating processes. In many of these cases, the liquid is non-Newtonian and has particular…

流体动力学 · 物理学 2023-11-21 Bruno Pelisson Chimetta , Erick de Moraes Franklin

We perform direct numerical simulations of planar jets of non-Newtonian fluids at low Reynolds number, in typical laminar conditions for a Newtonian fluid. We select three different non-Newtonian fluid models characterized by shear-thinning…

流体动力学 · 物理学 2024-09-18 Giovanni Soligo , Marco Edoardo Rosti

Methods for simple and effective determination of reological parameters of non-Newtonian liquids are proposed

流体动力学 · 物理学 2008-11-27 N. G. Domostroeva , N. N. Trunov

This study investigates the influence of shear-thinning on the instability of a prototype time-periodic flow, the Stokes layer, in Carreau fluids. The time-dependent base flow was solved using a numerical method and a binomial expansion…

流体动力学 · 物理学 2026-05-06 Mengqi Zhang , Dongdong Wan , Huanshu Tan

Complex physical systems which exhibit fluid-like behavior are often modeled as non-Newtonian fluids. A crucial element of a non-Newtonian model is the rheology, which relates inner stresses with strain-rates. We propose a framework for…

数值分析 · 数学 2026-04-28 Gonzalo G. de Diego , Georg Stadler

In the present study, Taylor bubble formation in two-phase gas-non-Newtonian Carreau liquid flowing through a confined co-flow microchannel is investigated. Systematic analysis are carried out to explore the influences of rheological…

流体动力学 · 物理学 2025-10-23 Somasekhara Goud Sontti , Arnab Atta

Non-Newtonian rheology is widely acknowledged in subsurface fluids, yet its presence and effects are largely ignored in current fracture-flow studies. Here, we simulate fracture flow of non-Newtonian polymer solutions on a several…

流体动力学 · 物理学 2026-03-17 Cuong Mai Bui , Stephan K. Matthai

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…

流体动力学 · 物理学 2023-12-05 Hanhua Song , Jinsong Zhang , Zhiliang Wang

Monitoring the integrity of elastic structures using ultrasonic waves requires the efficient identification of material parameters from measured surface displacements. The displacement field is governed by Cauchy's equation of motion, i.e.,…

数值分析 · 数学 2026-05-20 Benedikt Klein , Mario Ohlberger , Thomas Schuster
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