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We experimentally study intrusion into fluid-saturated granular beds by a free-falling sphere, varying particle size and fluid viscosity. We test our results against Darcy-Reynolds theory, where the deceleration of the sphere is controlled…

Soft Condensed Matter · Physics 2021-07-28 Joshua Strader , Neil Causley , Joshua A. Dijksman , Abram H. Clark

This paper examines the rigid body motion of a spheroid sedimenting in a Newtonian fluid with a spatially varying viscosity field. The fluid is at zero Reynolds number, and the viscosity varies linearly in space in an arbitrary direction…

Fluid Dynamics · Physics 2024-10-10 Vishal Anand , Vivek Narsimhan

Recent experimental work has shown that eukaryotic cells can swim in a fluid as well as crawl on a substrate. We investigate the swimming behavior of Dictyostelium discoideum amoebae who swim by initiating traveling protrusions at the front…

Cell Behavior · Quantitative Biology 2015-09-14 Qixuan Wang , Hans G. Othmer

In this study, we experimentally examine the behavior of a free-falling rigid sphere penetrating a quiescent liquid pool. Observations of the sphere trajectory in time are made using two orthogonally placed high-speed cameras, yielding the…

Fluid Dynamics · Physics 2025-06-04 Prasanna Kumar Billa , Tejaswi Josyula , Cameron Tropea , Pallab Sinha Mahapatra

In this article, we investigate the inertial settling of an arbitrarily oriented cylinder settling under gravity. We focus on two regimes: the very short-time and long-time dynamic. By using the generalized Kirchhoff equations to describe…

Fluid Dynamics · Physics 2023-03-29 Jean-Lou Pierson

The paper carries on our previous investigations on the complementary version of Purcell's rotator: a low-Reynolds-number swimmer composed of three balls of equal radii. In the asymptotic regime of very long arms, the Stokes induced…

Optimization and Control · Mathematics 2019-10-25 François Alouges , Giovanni Di Fratta

Typical bodily and environmental fluids encountered by biological swimmers consist of dissolved macromolecules such as proteins and polymers, often rendering them non Newtonian. To mimic such scenarios, we investigate the motion of swimming…

Soft Condensed Matter · Physics 2023-05-23 Prateek Dwivedi , Atishay Shrivastava , Dipin Pillai , Rahul Mangal

We study the immersed boundary problem in 2-D. It models a 1-D elastic closed string immersed and moving in a fluid that fills the entire plane, where the fluid motion is governed by the 2-D incompressible Navier-Stokes equation with a…

Analysis of PDEs · Mathematics 2025-12-17 Jiajun Tong , Dongyi Wei

The orientation dynamics of a massive rigid ellipsoid in simple shear flow of a Newtonian fluid is investigated in detail. The term `massive' refers to dominant particle inertia, as characterized by $St \gg 1$, $St =…

Fluid Dynamics · Physics 2025-04-22 Giridar Vishwanathan , Sangamesh Gudda , Ganesh Subramanian

In this paper, we address a crucial point regarding the description of moderate to high Reynolds numbers aquatic swimmers. For decades, swimming animals have been classified in two different families of propulsive mechanisms based on the…

Fluid Dynamics · Physics 2017-10-03 Miguel Piñeirua , Ramiro Godoy-Diana , Benjamin Thiria

Understanding swimming in soft yielding media is challenging due to their complex deformation response to the swimmer's motion. We experimentally show that a scallop-inspired swimmer with reciprocally flapping wings generates locomotion in…

Soft Condensed Matter · Physics 2024-12-09 Hongyi Xiao , Harol Torres , Achim Sack , Thorsten Pöschel

In this paper we investigate different strategies to overcome the scallop theorem. We will show how to obtain a net motion exploiting the fluid's type change during a periodic deformation. We are interested in two different models: in the…

Dynamical Systems · Mathematics 2016-11-08 Fabio Bagagiolo , Rosario Maggistro , Marta Zoppello

Following the idea that dissipation in turbulence at high Reynolds number is by events singular in space-time and described by solutions of the inviscid Euler equations, we draw the conclusion that in such flows scaling laws should depend…

Fluid Dynamics · Physics 2020-01-01 Yves Pomeau , Martine Le Berre

We characterise the scale-by-scale transfers of energy, enstrophy and helicity in homogeneous and isotropic polymeric turbulence using direct numerical simulations. The microscale Reynolds number is set to $Re_\lambda \approx 460$, and the…

Fluid Dynamics · Physics 2026-01-14 Alessandro Chiarini , Rahul K. Singh , Marco E. Rosti

We present the results of Direct Numerical Simulations (DNS) of turbulent flows seeded with millions of passive inertial particles. The maximum Taylor's Reynolds number is around 200. We consider particles much heavier than the carrier flow…

Chaotic Dynamics · Physics 2009-11-11 M. Cencini , J. Bec , L. Biferale , G. Boffetta , A. Celani , A. S. Lanotte , S. Musacchio , F. Toschi

Swimming cells and microorganisms must often move though complex fluids that contain an immersed microstructure such as polymer molecules, or filaments. In many important biological processes, such as mammalian reproduction and bacterial…

Fluid Dynamics · Physics 2018-08-06 Arshad Kamal , Eric E Keaveny

The paper is about the parking 3-sphere swimmer ($\text{sPr}_3$). This is a low-Reynolds number model swimmer composed of three balls of equal radii. The three balls can move along three horizontal axes (supported in the same plane) that…

Optimization and Control · Mathematics 2016-10-18 François Alouges , Giovanni Di Fratta

The humble Petri dish is perhaps the simplest setting in which to examine the locomotion of swimming organisms, particularly those whose body size is tens of microns to millimetres. The fluid layer in such a container has a bottom no-slip…

Soft Condensed Matter · Physics 2024-02-14 George T. Fortune , Eric Lauga , Raymond E. Goldstein

We study theoretically and numerically spatial distribution and collision rate of droplets that sediment in homogeneous isotropic Navier-Stokes turbulence. It is assumed that typical turbulent accelerations of fluid particles are much…

Fluid Dynamics · Physics 2022-05-17 Itzhak Fouxon , Seulgi Lee , Changhoon Lee

In view of recent microrheology experiments we re-examine the problem of a rigid sphere oscillating inside a dilute polymer network. The network and its solvent are treated using the two-fluid model. We show that the dynamics of the medium…

Soft Condensed Matter · Physics 2015-05-15 Haim Diamant
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