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The steady streaming flow pattern caused by a no-slip sphere oscillating in an unbounded viscous incompressible fluid is calculated exactly to second order in the amplitude. The pattern depends on a dimensionless scale number, determined by…

流体动力学 · 物理学 2023-07-19 B. U. Felderhof

Motivated by extrusion problems, we consider a non-stationary incompress-ible 3D fluid flow with a non-constant (temperature dependent) viscosity, subjected to mixed boundary conditions with a given time dependent velocity on a part of the…

偏微分方程分析 · 数学 2015-12-22 Mahdi Boukrouche , Imane Boussetouan , Laetitia Paoli

We consider the dynamics of a small spherical particle driven through an unbounded viscoelastic shear flow by an external force. We give analytical solutions to both the mobility problem (velocity of forced particle) and the resistance…

流体动力学 · 物理学 2025-12-23 J. Einarsson , B. Mehlig

This Note determines the unsteady non-circulatory forces on an arbitrarily deforming panel with a Holder-continuous porosity distribution. An analytical expression for the non-circulatory pressure distribution is presented and evaluated for…

流体动力学 · 物理学 2018-12-06 Rozhin Hajian , Justin W. Jaworski

Regarding a recent dispute about the symmetry of the stress tensor of fluids, more considerations are presented. The usual proofs of this symmetry are reviewed, and contradictions between this symmetry and the mechanism of gas viscosity are…

流体动力学 · 物理学 2024-08-02 Ji Luo

A new method for rheologically homogenizing a dilute suspension composed of freely-suspended spherical particles dispersed in a Newtonian fluid is presented: The ensemble-averaged velocity and stress fields obtained for the…

数学物理 · 物理学 2020-03-04 Yaniv Almog , Howard Brenner

The scalar and vector potentials of the acceleration field and the pressure field are calculated for the first time for a rotating relativistic uniform system, and the dependence of the potentials on the angular velocity is found. These…

综合物理 · 物理学 2024-10-24 Sergey G. Fedosin

We report experimental measurements of inertial waves generated by an oscillating cylinder in a rotating fluid. The two-dimensional wave takes place in a stationary cross-shaped wavepacket. Velocity and vorticity fields in a vertical plane…

流体动力学 · 物理学 2015-03-13 Pierre-Philippe Cortet , Cyril Lamriben , Frederic Moisy

Certain unresolved ambiguities surround pressure determinations for incompressible flows, both Navier-Stokes and magnetohydrodynamic. For uniform-density fluids with standard Newtonian viscous terms, taking the divergence of the equation of…

流体动力学 · 物理学 2015-06-26 Brian T. Kress , David C. Montgomery

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…

流体动力学 · 物理学 2014-10-29 Francois Nadal , Eric Lauga

The unsteady, lineal translation of a solid spherical particle through viscoelastic fluids described by the Johnson-Segalman and Giesekus models is studied analytically. Solutions for the pressure and velocity fields as well as the force on…

流体动力学 · 物理学 2021-06-16 Mary A. Joens , James W. Swan

We present a numerical study of the effect that fluid and particle inertia have on the motion of suspended spherical particles through a geometric constriction to understand analogous microfluidic settings, such as pinched flow…

流体动力学 · 物理学 2013-06-20 Sumedh R. Risbud , Mingxiang Luo , Joelle Frechette , German Drazer

Explicit analytical expressions for the drag and diffusion coefficients of a spherical particle attached to the interface between two immiscible fluids are constructed for the case of a small viscosity ratio between the fluid phases. The…

软凝聚态物质 · 物理学 2016-04-20 Aaron Dörr , Steffen Hardt

We study the flow field induced by a sphere translating in a viscous density-stratified ambient, specifically, in the limit of small Reynolds $(Re = \rho U a/\mu \ll 1)$, and viscous Richardson numbers $(Ri_v = \gamma a^3 g/\mu U\ll 1)$,…

流体动力学 · 物理学 2024-07-30 Ramana Patibandla , Anubhab Roy , Ganesh Subramanian

A mechanical model of swimming and flying in an incompressible viscous fluid in the absence of gravity is studied on the basis of assumed equations of motion. The system is modeled as an assembly of rigid spheres subject to elastic direct…

流体动力学 · 物理学 2015-11-30 B. U. Felderhof

The behavior of a non-spherical particle in a viscous, plane channel flow is studied by means of a combination of analytical technique and geometrical reasoning. An efficient implementation of Lamb's general solution is adopted, allowing…

chao-dyn · 物理学 2007-05-23 Piero Olla

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

软凝聚态物质 · 物理学 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

We numerically investigate, through discrete element simulations, the steady flow of identical, frictionless spheres sheared between two parallel, bumpy planes in the absence of gravity and under a fixed normal load. We measure the spatial…

软凝聚态物质 · 物理学 2024-07-25 Dalila Vescovi , Astrid S. de Wijn , Graham L. W. Cross , Diego Berzi

Rapid fluctuations of static pressure away from flow boundaries in a low-speed vortical flow, are extracted using the measured velocity field. The technique departs from prior work in not requiring far boundary values. Stereo Particle Image…

流体动力学 · 物理学 2018-04-18 Nandeesh Hiremath , Jose C. Sanchez , Narayanan Komerath

We propose a mathematical derivation of Brinkman's force for a cloud of particles immersed in an incompressible fluid. Our starting point is the Stokes or steady Navier-Stokes equations set in a bounded domain with the disjoint union of N…

偏微分方程分析 · 数学 2012-07-27 Laurent Desvillettes , François Golse , Valeria Ricci