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Long, shallow microchannels embedded in thick soft materials are widely used in microfluidic devices for lab-on-a-chip applications. However, the bulging effect caused by fluid--structure interactions between the internal viscous flow and…

Fluid Dynamics · Physics 2019-12-03 Xiaojia Wang , Ivan C. Christov

Concentrated suspensions may shear-thin when the suspended particles form planar sheets that slide over one another with less friction than if the particles are randomly distributed. In a na\"ive model the suspension is described by a mean…

Soft Condensed Matter · Physics 2014-02-25 J. I. Katz

A classical model of fluid dynamics is considered which describes the shape evolution of a viscous liquid droplet on a homogeneous substrate. All equilibria are characterized and their stability is analyzed by a geometric reduction…

Analysis of PDEs · Mathematics 2018-08-14 Patrick Guidotti

Cells and other soft particles are often forced to flow in confined geometries in both laboratory and natural environments, where the elastic deformation induces an additional drag and pressure drop across the particle. In contrast with…

Fluid Dynamics · Physics 2025-07-09 Charles Paul Moore , Hiba Belkadi , Brouna Safi , Gabriel Amselem , Charles N. Baroud

Understanding particle transport and localisation in porous channels, especially at moderate Reynolds numbers, is relevant for many applications ranging from water reclamation to biological studies. Recently, researchers experimentally…

Fluid Dynamics · Physics 2019-01-30 Mike Garcia , Baskar Ganapathysubramanian , Sumita Pennathur

We employ the Lorentz reciprocal theorem to derive a closed-form expression for the pressure drop reduction due to the coupling between shear-thinning fluid flow and a weakly deformable channel wall in terms of the shear rate and the…

Fluid Dynamics · Physics 2024-11-25 Shrihari D. Pande , Ivan C. Christov

We study suspensions of oblate rigid particles in a viscous fluid for different values of the particle volume fractions. Direct numerical simulations have been performed using a direct-forcing immersed boundary method to account for the…

Fluid Dynamics · Physics 2021-02-23 M. Niazi Ardekani , P. Costa , W. -P. Breugem , F. Picano , L. Brandt

The behavior of a non-spherical particle in a viscous, plane channel flow is studied by means of a combination of analytical technique and geometrical reasoning. An efficient implementation of Lamb's general solution is adopted, allowing…

chao-dyn · Physics 2007-05-23 Piero Olla

The dynamics and rheology of a vesicle confined in a channel under shear flow are studied at finite temperature. The effect of finite temperature on vesicle motion and system viscosity is investigated. A two-dimensional numerical model,…

Soft Condensed Matter · Physics 2022-10-04 A. Lamura

We consider a system of nonlinear partial differential equations describing the motion of an incompressible chemically reacting generalized Newtonian fluid in three space dimensions. The governing system consists of a steady…

Numerical Analysis · Mathematics 2017-08-29 Seungchan Ko , Endre Suli

We present a reduced order model for three dimensional unsteady pressure-driven flows in micro-channels of variable cross-section. This fast and accurate model is valid for long channels, but allows for large variations in the channel's…

Fluid Dynamics · Physics 2021-08-09 Leila Issa , Sajed Medlej , Ali Saleh , Issam Lakkis

We present a phenomenological model for granular suspension rheology in which particle interactions enter as constraints to relative particle motion. By considering constraints that are formed and released by stress respectively, we derive…

Soft Condensed Matter · Physics 2018-09-26 B. M. Guy , J. A. Richards , D. J. M. Hodgson , E. Blanco , W. C. K. Poon

We consider the slow flow of a viscous incompressible liquid in a channel of constant but arbitrary cross section shape, driven by non-uniform suction or injection through the porous channel walls. A similarity transformation reduces the…

Fluid Dynamics · Physics 2012-08-28 Kaare H. Jensen

We use interface-resolved simulations to study finite-size effects in turbulent channel flow of neutrally-buoyant spheres. Two cases with particle sizes differing by a factor of 2, at the same solid volume fraction of 20% and bulk Reynolds…

Fluid Dynamics · Physics 2021-02-23 Pedro Costa , Francesco Picano , Luca Brandt , Wim-Paul Breugem

Flows of particles through bottlenecks are ubiquitous in nature and industry, involving both dry granular materials and suspensions. However, practical limitations of conventional experimental setups hinder the full understanding of these…

Soft Condensed Matter · Physics 2025-07-02 Lars Kool , Jules Tampier , Philippe Bourrianne , Anke Lindner

In this paper, we study the unsteady hydromagnetic flow of a Walter's fluid (Model B') down an open inclined channel of width 2a and depth d under gravity, the walls of the channel being normal to the surface of the bottom under the…

Fluid Dynamics · Physics 2011-08-30 S. Sreekanth , R. Saravana , S. Enkataramana , R. Hemadri Reddy

We study turbulent channel flow of a binary mixture of finite-size neutrally-buoyant rigid particles by means of interface-resolved direct numerical simulations. We fix the bulk Reynolds number and total solid volume fraction, $Re_b = 5600$…

Fluid Dynamics · Physics 2021-02-23 Iman Lashgari , Francesco Picano , Pedro Costa , Wim-Paul Breugem , Luca Brandt

We investigate flow pattern formation and viscosity reduction mechanisms in active fluids by studying a generalized Navier-Stokes model that captures the experimentally observed bulk vortex dynamics in microbial suspensions. We present…

Fluid Dynamics · Physics 2017-05-03 Jonasz Słomka , Jörn Dunkel

Continuum fluid dynamic models based on the Navier-Stokes equations have previously been used to simulate granular media undergoing fluid-like shearing. These models, however, typically fail to predict the flow behaviour in confined…

Fluid Dynamics · Physics 2024-03-05 Duncan Dockar , M. H. Lakshminarayana Reddy , Matthew K. Borg , S. Kokou Dadzie

Non-particulate continuum descriptions allow for computationally efficient modeling of suspension flows at scales that are inaccessible to more detailed particulate approaches. It is well known that the presence of particles influences the…

Soft Condensed Matter · Physics 2013-11-13 Florian Janoschek , Jens Harting , Federico Toschi