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We derive an effective equation of motion for the orientational dynamics of a neutrally buoyant spheroid suspended in a simple shear flow, valid for arbitrary particle aspect ratios and to linear order in the shear Reynolds number. We show…

Fluid Dynamics · Physics 2015-06-03 J. Einarsson , F. Candelier , F. Lundell , J. R. Angilella , B. Mehlig

We compare experiments and fully-resolved particle simulations designed to match the experimental conditions of a weakly inertial, neutrally buoyant, moderately oblate spheroid in shear flow under confinement. Experimental and numerical…

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

We numerically analyse the rotation of a neutrally buoyant spheroid in a shear flow at small shear Reynolds number. Using direct numerical stability analysis of the coupled nonlinear particle-flow problem we compute the linear stability of…

Fluid Dynamics · Physics 2015-12-30 T. Rosen , J. Einarsson , A. Nordmark , C. K. Aidun , F. Lundell , B. Mehlig

Using high-fidelity numerical simulations based on a lattice Boltzmann framework, the advection-enhanced transport of a passive scalar from a prolate spheroid in simple shear flow has been thoroughly investigated across various parameters,…

Fluid Dynamics · Physics 2025-10-15 Yanxing Wang , Hui Wan , Tie Wei , Fangjun Shu

How anisotropic particles rotate and orient in a flow depends on the hydrodynamic torque they experience. Here we compute the torque acting on a small spheroid in a uniform flow by numerically solving the Navier-Stokes equations. Particle…

Fluid Dynamics · Physics 2021-02-09 F. Jiang , L. Zhao , H. I. Andersson , K. Gustavsson , A. Pumir , B. Mehlig

We investigate the orientation dynamics of a neutrally buoyant spheroid, of an arbitrary aspect ratio ($\kappa$), freely rotating in a weakly viscoelastic fluid undergoing simple shear flow. Weak elasticity is characterized by a small but…

Fluid Dynamics · Physics 2025-05-30 Pavan Kumar Singeetham , Deepak Madival , Piyush Garg , Ganesh Subramanian

The motion of a freely rotating prolate spheroid in a simple shear flow of a dilute polymeric solution is examined in the limit of large particle aspect ratio, $\kappa$. A regular perturbation expansion in the polymer concentration, $c$, a…

Fluid Dynamics · Physics 2023-10-03 Arjun Sharma , Donald L. Koch

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

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 consider the rotation of small neutrally buoyant axisymmetric particles in a viscous steady shear flow. When inertial effects are negligible the problem exhibits infinitely many periodic solutions, the "Jeffery orbits". We compute how…

Fluid Dynamics · Physics 2015-05-01 J. Einarsson , F. Candelier , F. Lundell , J. R. Angilella , B. Mehlig

Through high-fidelity numerical simulation, the simple shear flow over regularly arranged micro pillars has been investigated. The essential issues to be addressed include the characteristics of a simple shear flow over quadrilateral array…

Fluid Dynamics · Physics 2022-03-14 Yanxing Wang , Hui Wan , Tie Wei , Fangjun Shu

We theoretically study the self-propulsion of a thin (slender) colloid driven by asymmetric chemical reactions on its surface at vanishing Reynolds number. Using the method of matched asymptotic expansions, we obtain the colloid…

Soft Condensed Matter · Physics 2018-03-21 Yahaya Ibrahim , Ramin Golestanian , Tanniemola B. Liverpool

Three-dimensional particle tracking experiments were conducted in a turbulent boundary layer with friction Reynolds number $Re_\tau$ of 700 and 1300. Two finite size spheres with specific gravities of 1.003 (P1) and 1.050 (P2) and diameters…

Fluid Dynamics · Physics 2019-07-02 Yi Hui Tee , Diogo Barros , Ellen K. Longmire

The velocity fluctuations present in macroscopically homogeneous suspensions of neutrally buoyant, non-Brownian spheres undergoing simple shear flow, and their dependence on the microstructure developed by the suspensions, are investigated…

Soft Condensed Matter · Physics 2007-05-23 G. Drazer , J. Koplik , B. Khusid , A. Acrivos

The expected universality of small-scale properties of turbulent flows implies isotropic properties of the velocity gradient tensor in the very large Reynolds number limit. Using direct numerical simulations, we determine the tensors formed…

Fluid Dynamics · Physics 2017-07-04 Alain Pumir

Angular momentum transport owing to hydrodynamic turbulent convection is studied using local three dimensional numerical simulations employing the shearing box approximation. We determine the turbulent viscosity from non-rotating runs over…

Solar and Stellar Astrophysics · Physics 2011-07-07 Petri J. Käpylä , Axel Brandenburg , Maarit J. Korpi , Jan E. Snellman , Ramesh Narayan

We perform fully coupled numerical simulations using immersed boundary methods of finite-size spheres and fibres suspended in a turbulent flow for a range of Taylor Reynolds numbers $12.8<Re_\lambda<442$ and solid mass fractions $0\leq…

Fluid Dynamics · Physics 2024-05-16 Ianto Cannon , Stefano Olivieri , Marco E. Rosti

For low-Reynolds number shear-flows of neutrally-buoyant suspensions, the shear stress is often modeled using an effective viscosity that depends only on the solid fraction. As the Reynolds number ($Re$) is increased and inertia becomes…

Fluid Dynamics · Physics 2020-12-10 Esperanza Linares-Guerrero , Melany L. Hunt , Roberto Zenit

The lift and drag forces acting on a small, neutrally-buoyant spherical particle in a single-wall-bounded linear shear flow are examined via numerical computation. The effects of shear rate are isolated from those of slip by setting the…

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