Numerical study of filament suspensions at finite inertia

Banaei, Arash Alizad; Rosti, Marco E.; Brandt, Luca

doi:10.1017/jfm.2019.794

Cited by 23 publications

(11 citation statements)

References 45 publications

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“…When the capillary number is fixed and sufficiently large, N 1 is positive, N 2 negative, and their ratio −N 1 /N 2 larger than unity. This is consistent with what found for other elastic fluids, such as polymeric solution Shahmardi et al (2019), capsule Matsunaga et al (2016) and fiber suspensions Banaei et al (2020). We observe that, N 1 grows as the Reynolds number increases, while N 2 reduces, thus enhancing their difference.…”

Section: Resultssupporting

confidence: 92%

Suspensions of deformable particles in Poiseuille flows at finite inertia

Chiara¹,

Rosti²,

Picano³

et al. 2020

Fluid Dyn. Res.

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We analyze a suspension of deformable particles in a pressure-driven flow. The suspension is composed of neutrally buoyant initially spherical particles and a Newtonian carrier fluid, and the flow is solved by means of direct numerical simulations, using a fully Eulerian method based on a one-continuum formulation. The solid phase is modeled with an incompressible viscous hyperelastic constitutive relation, and the flow is characterized by three main dimensionless parameters, namely the solid volume fraction, the Reynolds and capillary numbers. The dependency of the effective viscosity on these three quantities is investigated to study the inertial effects on a suspension of deformable particles. It can be observed that the suspension has a shear-thinning behavior, and the reduction in effective viscosity for high shear rates is emphasized in denser configurations. The separate analysis of the Reynolds and capillary numbers reveal that the effective viscosity depends more on the capillary than on the Reynolds number. In addition, our simulations exhibit a consistent tendency for deformable particles to move toward the center of the channel, where the shear rate is low. This phenomenon is particularly marked for very dilute suspensions, where a whole region near the wall is empty of particles. Furthermore, when the volume fraction is increased this near-wall region is gradually occupied, because of higher mutual particle interactions. Deformability also plays an important role in the process. Indeed, at high capillary numbers, particles are more sensitive to shear rate variations and can modify their shape more easily to accommodate a greater number of particles in the central region of the channel. Finally, the total stress budgets show that the relative particle-induced stress contribution increases with the volume fraction and Reynolds number, and decreases with the particle deformability.

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Section: Resultssupporting

confidence: 92%

Suspensions of deformable particles in Poiseuille flows at finite inertia

Chiara¹,

Rosti²,

Picano³

et al. 2020

Fluid Dyn. Res.

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“…The details of the two-step method for solving Euler-Bernoulli equations can be found elsewhere. 17 Finally, to couple the fluid and the solid motion, the immersed boundary method (IBM) is utilized. In this approach, two sets of grid points are needed: a fixed Eulerian grid for the fluid flow and a moving Lagrangian grid for the fibers (ESI, † Fig.…”

Section: B Numerical Methodsmentioning

confidence: 99%

“…44 The central difference scheme is utilized to spatially discretize convective and diffusive terms, whereas the Adams–Bashforth scheme is utilized to temporally integrate convective terms. 17 In order to determine the position of the fibers, the Euler–Bernoulli equations are solved alongside the tension equation. The tension equation is coupled with the Euler–Bernoulli equations, and solving both simultaneously necessitates solving nonlinear sets of equations, resulting in a long computation time.…”

Section: Methodsmentioning

confidence: 99%

“…11 Moreover, the rheological properties of these suspensions are complex and heavily dependent on several variables, including suspending fluid properties, fiber size distribution, shape, flexibility, roughness, and volume fractions. [12][13][14][15][16][17][18][19][20][21] Even though fiber size distributions are more commonly encountered in the applications and natural environments stated above than mono-disperse suspensions, the role of bi-or poly-dispersity on the rheology of fiber suspensions is limited in the literature.…”

Section: Introductionmentioning

confidence: 99%

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Rheology of bi-disperse dense fiber suspensions

Khan,

Corder,

Erk

et al. 2024

Soft Matter

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“…( 3) follows the scheme detailed in Ref. 37 with the difference that the bending term is treated implicitly to allow for a larger timestep [38][39][40] .…”

Section: Methodsmentioning

confidence: 99%

Collective dynamics of dense hairy surfaces in turbulent flow

Monti

Olivieri

Rosti

2023

Sci Rep

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Flexible filamentous beds interacting with a turbulent flow represent a fundamental setting for many environmental phenomena, e.g., aquatic canopies in marine current. Exploiting direct numerical simulations at high Reynolds number where the canopy stems are modelled individually, we provide evidence on the essential features of the honami/monami collective motion experienced by hairy surfaces over a range of different flexibilities, i.e., Cauchy number. Our findings clearly confirm that the collective motion is essentially driven by fluid flow turbulence, with the canopy having in this respect a fully-passive behavior. Instead, some features pertaining to the structural response turn out to manifest in the motion of the individual canopy elements when focusing, in particular, on the spanwise oscillation and/or on sufficiently small Cauchy numbers.

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Numerical study of filament suspensions at finite inertia

Cited by 23 publications

References 45 publications

Suspensions of deformable particles in Poiseuille flows at finite inertia

Suspensions of deformable particles in Poiseuille flows at finite inertia

Rheology of bi-disperse dense fiber suspensions

Collective dynamics of dense hairy surfaces in turbulent flow

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