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We analyse the dynamics of a weakly elastic spherical particle translating parallel to a rigid wall in a quiescent Newtonian fluid in the Stokes limit. The particle motion is constrained parallel to the wall by applying a point force and a…

Fluid Dynamics · Physics 2026-01-14 Shashikant Verma , Dinesh B , Navaneeth K Marath

We propose a procedure - partly analytical and partly numerical - to find the frequency and the damping rate of the small-amplitude oscillations of a massless elastic capsule immersed in a two-dimensional viscous incompressible fluid. The…

Fluid Dynamics · Physics 2014-04-03 Marco Martins Afonso , Simon Mendez , Franck Nicoud

Steady forcing at the wall of a channel flow is studied via DNS to assess its ability of yielding reductions of turbulent friction drag. The wall forcing consists of a stationary distribution of spanwise velocity that alternates in the…

Fluid Dynamics · Physics 2015-05-14 Claudio Viotti , Maurizio Quadrio , Paolo Luchini

The drag reduction properties of a turbulent channel flow modified by spanwise sinusoidal oscillations of the walls are investigated by direct numerical simulations. The work is based on the linear relation between the drag reduction and…

Fluid Dynamics · Physics 2008-02-04 Pierre Ricco , Maurizio Quadrio

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

In order to generalize the well-known spanwise-oscillating-wall technique for drag reduction, non-sinusoidal oscillations of a solid wall are considered as a means to alter the skin-friction drag in a turbulent channel flow. A series of…

Molecular dynamic (MD) simulation is used to study slip at the fluid-solid boundary in an unsteady flow based on the Stokes second problem. An increase in slip is observed in comparison to the steady flow for shear rates below the critical…

Fluid Dynamics · Physics 2015-06-05 Joseph John Thalakkottor , Kamran Mohseni

Recent experiments showed that standing acoustic waves could be exploited to induce self-propulsion of rigid metallic particles in the direction perpendicular to the acoustic wave. We propose in this paper a physical mechanism for these…

Fluid Dynamics · Physics 2014-10-29 Francois Nadal , Eric Lauga

The impact of turbulent fluctuations on the forces exerted by a fluid on a towed spherical particle is investigated by means of high-resolution direct numerical simulations. The measurements are carried out using a novel scheme to integrate…

Fluid Dynamics · Physics 2016-11-21 Holger Homann , Jérémie Bec , Rainer Grauer

We derive new analytical results for the hydrodynamic force exerted on a sinusoidally oscillating porous shell and a sphere of uniform density in the Stokes limit. The coupling between the spherical particle and the solvent is done using…

Fluid Dynamics · Physics 2012-11-02 Santtu T. T. Ollila , Tapio Ala-Nissila , Colin Denniston

Wall-bounded sedimentation of spherical particles at low particle Reynolds numbers $Re_\text{P}\lessapprox 0.1$ under the influence of elastic deformation was investigated experimentally. The complete kinematics of both elastic and rigid…

Fluid Dynamics · Physics 2024-09-12 Isabell Noichl , Clarissa Schönecker

We perform particle-resolved simulations of subsonic and transonic flows past random arrays of spherical particles. The Reynolds number is held at $Re{\approx}300$ to ensure the flow remains in the continuum regime. At low volume fractions,…

Fluid Dynamics · Physics 2022-08-23 Mehdi Khalloufi , Jesse Capecelatro

A delayed detached eddy simulation (DDES) of an overexpanded nozzle flow with shock-induced separation is carried out at a Reynolds number equal to 1.7 10^7. The flow unsteadiness, characterised by self-sustained shock oscillations, induces…

Fluid Dynamics · Physics 2020-06-24 E. Martelli , L. Saccoccio , P. P. Ciottoli , C. E. Tinney , W. J. Baars , M. Bernardini

Hydrodynamic forces acting on a neutrally-buoyant spherical particle immersed in a wall-bounded axisymmetric stagnation point flow (Hiemenz-Homann flow) are predicted, based on a suitable form of the reciprocal theorem. An approximate…

Fluid Dynamics · Physics 2020-11-24 Jacques Magnaudet , Micheline Abbas

The results of an experimental investigation of a sphere performing torsional oscillations in a Stokes flow are presented. A novel experimental set up was developed which enabled the motion of the sphere to be remotely controlled through…

Fluid Dynamics · Physics 2016-01-20 F. Box , A. B. Thompson , T. Mullin

Turbulent drag reduction through streamwise travelling waves of spanwise wall oscillation is investigated over a wide range of Reynolds numbers. Here, in Part 1, wall-resolved large-eddy simulations in a channel flow are conducted to…

A Stokes experiment for foams is proposed. It consists in a two-dimensional flow of a foam, confined between a water subphase and a top plate, around a fixed circular obstacle. We present systematic measurements of the drag exerted by the…

Soft Condensed Matter · Physics 2007-05-23 Benjamin Dollet , Florence Elias , Catherine Quilliet , Arnaud Huillier , Miguel Aubouy , Francois Graner

Swimming of a sphere in a viscous incompressible fluid is studied on the basis of the Navier-Stokes equations for wave-type distortions of the spherical shape. At sizable values of the dimensionless scale number the mean swimming velocity…

Fluid Dynamics · Physics 2019-02-20 B. U. Felderhof , R. B. Jones

We study the drag on a centimetric sphere in a uniform flow in the presence of a free surface as a function of submergence depth. Through direct force measurements in a custom benchtop recirculating flume, we demonstrate that the drag can…

Fluid Dynamics · Physics 2023-10-05 Robert Hunt , Ze Zhao , Eli Silver , Jinhui Yan , Yuri Bazilevs , Daniel M. Harris

A growing body of work on the dynamics of eukaryotic flagella has noted that their oscillation frequencies are sufficiently high that the viscous penetration depth of unsteady Stokes flow is comparable to the scales over which flagella…

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