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Related papers: Sedimentation of a rigid helix in viscous media

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We study theoretically the chirality of a generic rigid object's sedimentation in a fluid under gravity in the low Reynolds number regime. We represent the object as a collection of small Stokes spheres or stokeslets, and the gravitational…

Soft Condensed Matter · Physics 2015-05-13 Nathan W. Krapf , Thomas A. Witten , Nathan C. Keim

We investigate the sedimentation of chiral particles in viscous fluid flow. We identify helical ribbons as simple particles with strong translation-rotation coupling whose symmetry ensures that the centers of mass, buoyancy, resistance, and…

We investigate the sedimentation of a cloud of rigid, spherical particles of identical radii under gravity in a Stokes fluid. Both inertia and rotation of particles are neglected. We consider the homogenization limit of many small particles…

Analysis of PDEs · Mathematics 2016-10-13 Richard M. Höfer

Flexible filaments moving in viscous fluids are ubiquitous in the natural microscopic world. For example, the swimming of bacteria and spermatozoa as well as important physiological functions at organ-level, such as the cilia-induced motion…

Soft Condensed Matter · Physics 2019-06-05 Panayiota Katsamba , Eric Lauga

We analyze experimentally the shape of a long elastic filament rotating in a viscous liquid. We identify a continuous but sharp transition from a straight to an helical shape, resulting from the competition between viscous stresses and…

Fluid Dynamics · Physics 2009-11-13 Naïs Coq , Olivia Du Roure , Joel Marthelot , Denis Bartolo , Marc Fermigier

We theoretically study the conformations of a helical semi-flexible filament confined to a flat surface. This squeezed helix exhibits a variety of unexpected shapes resembling circles, waves or spirals depending on the material parameters.…

Biological Physics · Physics 2017-02-16 Lila Bouzar , Martin Michael Müller , Pierre Gosselin , Igor M. Kulić , Hervé Mohrbach

We study slender, helical elastic rods subject to distributed forces and moments. Focussing on the case when the helix axis remains straight, we employ the method of multiple scales to systematically derive an 'equivalent-rod' theory from…

Soft Condensed Matter · Physics 2024-11-14 Michael Gomez , Eric Lauga

The dynamics of a flexible filament sedimenting in a viscous fluid are explored analytically and numerically. Compared to the well-studied case of sedimenting rigid rods, the introduction of filament compliance is shown to cause a…

Fluid Dynamics · Physics 2013-11-04 Lei Li , Harishankar Manikantan , David Saintillan , Saverio E. Spagnolie

Motivated by the intriguing motility of spirochetes (helically-shaped bacteria that screw through viscous fluids due to the action of internal periplasmic flagella), we examine the fundamental fluid dynamics of superhelices translating and…

Fluid Dynamics · Physics 2009-11-13 Sunghwan Jung , Kathleen Mareck , Lisa Fauci , Michael J. Shelley

We study the sedimentation of U-shaped circular disks in the Stokes limit of vanishing inertia. We simulate the flow past such disks using a finite-element-based solution of the 3D Stokes equations, accounting for the integrable…

Particles whose shapes couple translation to rotation display a rich array of behaviors as they sediment at low Reynolds number. We introduce a unifying perspective in which the possible dynamical regimes and bifurcations between them can…

We combine experiments with simulations to investigate the fluid-structure interaction of a flexible helical rod rotating in a viscous fluid, under low Reynolds number conditions. Our analysis takes into account the coupling between the…

Soft Condensed Matter · Physics 2015-10-28 M. K. Jawed , N. K. Khouri , F. Da , E. Grinspun , P. M. Reis

The sedimentation of a spherical particle in an elastoviscoplastic fluid in proximity of a flat wall is investigated by direct numerical simulations. The governing equations under inertialess conditions are solved by the finite element…

Fluid Dynamics · Physics 2023-02-10 Alie Abbasi Yazdi , Gaetano D'Avino

Swimming microorganisms often have to propel in complex, non-Newtonian fluids. We carry out experiments with self-propelling helical swimmers driven by an externally rotating magnetic field in shear-thinning, inelastic fluids. Similarly to…

Fluid Dynamics · Physics 2017-03-08 Saul Gomez , Francisco Godinez , Eric Lauga , Roberto Zenit

Microbial flagellates typically inhabit complex suspensions of polymeric material which can impact the swimming speed of motile microbes, filter-feeding of sessile cells, and the generation of biofilms. There is currently a need to better…

Soft Condensed Matter · Physics 2017-11-22 Andrew Kaan Balin , Andreas Zöttl , Julia M. Yeomans , Tyler Shendruk

We describe the effect of hydrodynamic interactions in the sedimentation of a pair of inextensible semiflexible filaments under a uniform constant force at low Reynolds numbers. We have analyzed the different regimes and the morphology of…

Soft Condensed Matter · Physics 2009-11-13 Isaac Llopis , Ignacio Pagonabarraga , Marco Cosentino Lagomarsino , Christopher P. Lowe

The equilibrium state of a flexible fiber settling in a viscous fluid is examined using a combination of macroscopic experiments, numerical simulations and scaling arguments. We identify three regimes having different signatures on this…

In this fluid dynamics video we explore an array of different possible dynamics for a flexible filament sedimenting in a viscous fluid. The time-dependent shapes and trajectories of the filament are determined analytically and numerically…

Fluid Dynamics · Physics 2013-10-03 Harishankar Manikantan , Lei Li , David Saintillan , Saverio E. Spagnolie

This work investigates experimentally and numerically the dynamics of rigid particles settling under gravity in a highly viscous fluid. We demonstrate that certain shapes: cones, crescent moons, arrowheads, and open flat rings reorient and…

Soft Condensed Matter · Physics 2025-08-25 Chandra Shekhar , Harish Mirajkar , Piotr Zdybel , Yevgen Melikhov , Maria L. Ekiel-Jezewska

We study the dynamics of knotted deformable closed chains sedimenting in a viscous fluid. We show experimentally that trefoil and other torus knots often attain a remarkably regular horizontal toroidal structure while sedimenting, with a…

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