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Predicting particle-laden flows requires accurate fluid force models. However, a reliable particle force model for finite-size particles in turbulent flows remains lacking. In the present work, a fluid force model for a finite-size…

Fluid Dynamics · Physics 2025-05-29 Yuqi Wang , Ruifeng Hu

The precise description of the motion of anisotropic particles in a flow rests on the understanding of the force and torque acting on them. Here, we study experimentally small, very elongated particles settling in a fluid at small Reynolds…

Fluid Dynamics · Physics 2022-11-29 F. Cabrera , M. Z. Sheikh , B. Mehlig , N. Plihon , M. Bourgoin , A. Pumir , A. Naso

We analyse the angular velocity of a small neutrally buoyant spheroid log rolling in a simple shear. When the effect of fluid inertia is negligible the angular velocity $\omega$ equals half the fluid vorticity. We compute by singular…

Fluid Dynamics · Physics 2017-03-01 J. Meibohm , F. Candelier , T. Rosén , J. Einarsson , F. Lundell , B. Mehlig

Euler-Lagrange (EL) point-particle simulations rely on hydrodynamic force closure models to accurately predict particle dynamics in flows. The closure models currently employed for dilute particle-laden flows require the undisturbed fluid…

Fluid Dynamics · Physics 2025-03-06 Akshay Chandran , Fabien Evrard , Berend van Wachem

We report on a series of fully resolved simulations of the flow around a rigid sphere translating steadily near a wall, either in a fluid at rest or in the presence of a uniform shear. Non-rotating and freely rotating spheres subject to a…

Fluid Dynamics · Physics 2021-08-17 Pengyu Shi , Roland Rzehak , Dirk Lucas , Jacques Magnaudet

On the basis of the linear hydrodynamic equations, we present an analytical theory for the low-Reynolds-number motion of a solid particle moving inside a larger spherical elastic cavity which can be seen as a model system for a fluid…

Fluid Dynamics · Physics 2019-02-11 Abdallah Daddi-Moussa-Ider , Hartmut Löwen , Stephan Gekle

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

Fluid flows containing dilute or dense suspensions of thin fibers are widespread in biological and industrial processes. To describe the motion of a thin immersed fiber, or to describe the forces acting on it, it is convenient to work with…

Numerical Analysis · Mathematics 2021-12-03 William H. Mitchell , Henry G. Bell , Yoichiro Mori , Laurel Ohm , Daniel Spirn

We compute the leading-order inertial corrections to the instantaneous force acting on a rigid body moving with a time-dependent slip velocity in a linear flow field, assuming that the variation of the undisturbed flow at the body scale is…

Fluid Dynamics · Physics 2025-10-01 Fabien Candelier , Bernhard Mehlig , Jacques Magnaudet

In Stokes flow, Purcell's scallop theorem forbids objects with time-reversible (reciprocal) swimming strokes from moving. In the presence of inertia, this restriction is eased and reciprocally deforming bodies can swim. A number of recent…

Fluid Dynamics · Physics 2022-11-30 Nicholas J. Derr , Thomas Dombrowski , Chris H. Rycroft , Daphne Klotsa

The motion of rigid spherical particles suspended in a low Reynolds number fluid can be related to the forces, torques and stresslets acting upon them by 22 scalar resistance functions, commonly notated $X^A_{11}$, $X^A_{12}$, $Y^A_{11}$,…

Fluid Dynamics · Physics 2023-12-19 Adam K. Townsend

Of concern in the paper is a generalized theoretical study of the non-Newtonian characteristics of peristaltic flow of blood through micro-vessels, e.g. arterioles. The vessel is considered to be of variable cross-section and blood to be a…

Fluid Dynamics · Physics 2013-08-19 S. Maiti , J. C. Misra

Ice crystals settling through a turbulent cloud are rotated by turbulent velocity gradients. In the same way, turbulence affects the orientation of aggregates of organic matter settling in the ocean. In fact most solid particles encountered…

Fluid Dynamics · Physics 2021-02-04 K. Gustavsson , M. Z. Sheikh , D. Lopez , A. Naso , A. Pumir , B. Mehlig

The Green's function of the incompressible Stokes equations, the stokeslet, represents the singular flow due to a point force. Its classical value in an unbounded fluid has been extended near surfaces of various shapes, including flat walls…

Fluid Dynamics · Physics 2021-11-15 Ivan Tanasijević , Eric Lauga

In volume-filtered Euler-Lagrange simulations of particle-laden flows, the fluid forces acting on a particle are estimated using reduced models, which rely on the knowledge of the local undisturbed flow for that particle. Since the two-way…

Computational Physics · Physics 2025-03-07 Fabien Evrard , Akshay Chandran , Ricardo Cortez , Berend van Wachem

Numerical simulation of particle motion in fluids at low particle Reynolds numbers is often based on empirical force and torque models obtained by fitting force and torque from ab-initio computations for simple particle shapes such as…

Fluid Dynamics · Physics 2026-01-14 L. Sundberg , F. Candelier , N. Fintzi , G. Voth , J. L. Pierson , K. Gustavsson , B. Mehlig

Drag laws for particles in fluids are often expressed in terms of the undisturbed fluid velocity, defined as the fluid velocity a particle sees before the disturbance develops in the fluid. In two-way coupled point-particle simulations the…

Computational Physics · Physics 2017-03-22 Jeremy Horwitz , Ali Mani

The capture of a soft spherical particle by a rectangular slit leads to a non-monotonic pressure-flow rate relation at low Reynolds number. In the presence of the trapped particle the flow-induced deformations focus the streamlines and…

Soft Condensed Matter · Physics 2023-02-22 Charles Paul Moore , Julien Husson , Arezki Boudaoud , Gabriel Amselem , Charles N. Baroud

We investigate by direct numerical simulations the fluid-solid interaction of non-dilute suspensions of spherical particles moving in triperiodic turbulence, at the relatively large Reynolds number of $Re_\lambda \approx 400$. The…

Fluid Dynamics · Physics 2024-06-05 Alessandro Chiarini , Marco Edoardo Rosti

The rheology of dense granular shear flows is influenced by friction and particle shape. We investigate numerically the impact of non-spherical particle geometries under shear on packing fraction, stress ratios, velocity fluctuations, force…

Soft Condensed Matter · Physics 2025-11-04 Jacopo Bilotto , Martin Trulsson , Jean-François Molinari