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We derive an expression for the velocity profile of a pressure-driven yield-stress Bingham fluid flowing around a 2D concentric annulus. The formula requires the numerical solution of a nonlinear equation for the positions of the yield…

Fluid Dynamics · Physics 2019-09-16 Tirion G. Roberts , Simon J. Cox

Motivated by the treatment of varicose veins with aqueous foams, we determine the velocity profiles and yield surface positions for pressure-driven flows of a Bingham fluid in curved channels, incorporating Navier wall slip to capture the…

Fluid Dynamics · Physics 2026-04-03 S. J. Cox , S. M. Taghavi

We inroduce a new model for Bingham fluids with a complicated dependence of the deformation velocity on the shear stress. Specific features of the flow rate for such fluid are studied. This model embraces many special and limiting cases,…

Fluid Dynamics · Physics 2010-02-05 N. G. Domostroeva , N. N. Trunov

The flow of a simple glass forming system (a 80:20 binary Lennard-Jones mixture) through a planar channel is studied via molecular dynamics simulations. The flow is driven by an external body force similar to gravity. Previous studies show…

Soft Condensed Matter · Physics 2015-05-14 Fathollah Varnik , Dierk Raabe

An approximate method to compute mean velocity profiles in turbulent flows is developed. This approach is based on the equation connecting the Reynolds stress and mean velocity. By using the measured values of pressure drop and average…

Fluid Dynamics · Physics 2007-05-23 A. E. Karpelson

In this Letter we suggest a simple and physically transparent analytical model of the pressure driven turbulent wall-bounded flows at high but finite Reynolds numbers Re. The model gives accurate qualitative description of the profiles of…

Chaotic Dynamics · Physics 2009-02-18 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

We study the flow of a Bingham yield-stress fluid in a pore network model where the throats have radii drawn from a uniform distribution. We consider the case in which a fraction of the largest radii is blocked. The fluid can flow only…

Fluid Dynamics · Physics 2026-03-18 Nathan Abitbol , Alex Hansen , Alberto Rosso , Laurent Talon

The elastoviscoplastic yield-stress fluid flows in a horizontal straight tube and a bended tube have been investigated using hydrogen bubble visualization method. The experimental results are used to verify the empirical Herschel-Bulkley…

Fluid Dynamics · Physics 2019-03-27 Mingjun Li , Miaorong Du , Hiroshi Yamaguchi , Xiao-Dong Niu , Hiroki Nakakoji

We numerically study confined channel foam flow around an obstacle using a two-dimensional bubble model, inspired by experiments performed in the same geometry. We systematically vary the polydispersity, the external driving force, and the…

Soft Condensed Matter · Physics 2026-03-24 Bahaa Mazloum , Alexandre Stepanetz , Benjamin Dollet , Misaki Ozawa

The prediction of the first fluidized path of a yield-stress fluid in complex porous media is a challenging yet an important task to understand the fundamentals of fluid flow in several industrial and biological processes. In most cases,…

Fluid Dynamics · Physics 2021-02-24 Dimitrios Fraggedakis , Emad Chaparian , Outi Tammisola

Yield-stress is a problematic and controversial non-Newtonian flow phenomenon. In this article, we investigate the flow of yield-stress substances through porous media within the framework of pore-scale network modeling. We also investigate…

Fluid Dynamics · Physics 2010-05-12 Taha Sochi

The flow of non-Newtonian fluids is ubiquitous in many applications in the geological and industrial context. We focus here on yield stress fluids (YSF), i.e. a material that requires minimal stress to flow. We study numerically the flow of…

Fluid Dynamics · Physics 2019-06-26 R. Kostenko , L. Talon

We study the two-dimensional flow of foams around a circular obstacle within a long channel. In experiments, we confine the foam between liquid and glass surfaces. In simulations, we use a deterministic software, the Surface Evolver, for…

Soft Condensed Matter · Physics 2009-11-11 Christophe Raufaste , B. Dollet , Simon Cox , Yi Jiang , François Graner

In this paper we continue our previous investigation about the use of stress function in the flow of generalized Newtonian fluids through conduits of circular and non-circular (or/and multiply connected) cross sections where we visualize…

Fluid Dynamics · Physics 2025-04-15 Taha Sochi

The pressure-driven flow of a suspension of spinning particles in a rectangular channel is studied using an acoustic method. The suspension is made of insulating particles (PMMA) dispersed in a slightly conducting oil (Ugilec + Dielec) and…

Classical Physics · Physics 2010-02-19 Peters François , Laurent Lobry , Elisabeth Lemaire

Characterizing the dynamics of a cantilever in channel flow is relevant to applications ranging from snoring to energy harvesting. Aeroelastic flutter induces large oscillating amplitudes and sharp changes with frequency that impact the…

Fluid Dynamics · Physics 2019-03-11 Luis Phillipe Tosi , Tim Colonius

A yield stress fluid has a critical stress above which the material starts to flow. Typically, the yield stress behaviour is captured in the Herschel-Bulkley (HB) model, which assumes a constant yield stress as material parameter. It is not…

We propose the viscous Camassa-Holm equations as a closure approximation for the Reynolds-averaged equations of the incompressible Navier-Stokes fluid. This approximation is tested on turbulent channel flows with steady mean. Analytical…

Yield-stress fluid flow through porous media is governed by a strong coupling between rheology and pore-scale geometry, leading to nonlinear, non-Darcy transport and pronounced channelisation near yielding. We develop a pore-network model…

Fluid Dynamics · Physics 2026-05-12 Cláudio P. Fonte , Elliott Sutton , Kohei Ohie , Eleanor Doman , Yuji Tasaka , Anne Juel

We are concerned with a system of partial differential equations describing internal flows of homogeneous incompressible fluids of Bingham type in which the value of activation (the so-called yield) stress depends on the internal pore…

Analysis of PDEs · Mathematics 2019-06-11 Anna Abbatiello , Tomáš Los , Josef Málek , Ondřej Souček
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