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When electrons flow as a viscous fluid in anisotropic metals, the reduced symmetry can lead to exotic viscosity tensors with many additional, nonstandard components. We present a viscometry technique that can, in principle, measure the…

Strongly Correlated Electrons · Physics 2021-10-26 Caleb Q. Cook , Andrew Lucas

We compute the first order correction of the effective viscosity for a suspension containing solid particles with arbitrary shapes. We rewrite the computation as an homogenization problem for the Stokes equations in a perforated domain.…

Analysis of PDEs · Mathematics 2019-05-30 Matthieu Hillairet , Di Wu

Transport properties of the ionic component of dense plasmas are investigated on the basis of effective potentials taking into account the presence of an external alternating electrical (laser) field. The latter generates single particle…

Plasma Physics · Physics 2022-09-07 S. K. Kodanova , M. K. Issanova , G. K. Omiraliyeva , T. S. Ramazanov

We investigate the sedimentation of identical inertialess spherical particles in a Stokes fluid in the limit of many small particles. It is known that the presence of the particles leads to an increase of the effective viscosity of the…

Analysis of PDEs · Mathematics 2021-02-09 Richard M. Höfer , Richard Schubert

In this study, the thermocapillary actuation behavior of an odd viscous droplet on a uniformly heated surface is numerically investigated using a phase-field-based lattice Boltzmann method. The numerical results reveal that unlike a…

Fluid Dynamics · Physics 2025-10-17 Shan Jiang , He Yan , Chenxia Xie , Lei Wang

Hooke's law states that the forces or stresses experienced by an elastic object are proportional to the applied deformations or strains. The number of coefficients of proportionality between stress and strain, i.e., the elastic moduli, is…

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 · Physics 2007-05-23 Piero Olla

Swimming velocity and rate of dissipation of a sphere with surface distortions are discussed on the basis of the Stokes equations of low Reynolds number hydrodynamics. At first the surface distortions are assumed to cause an irrotational…

Fluid Dynamics · Physics 2015-06-19 B. U. Felderhof , R. B. Jones

In this note, we study the existence of traveling waves of a surface model in a non-newtonian fluid with odd viscosity. The proof relies on nonlinear bifurcation techniques.

Analysis of PDEs · Mathematics 2024-07-30 Diego Alonso-Orán , Claudia García , Rafael Granero-Belinchón

Suspension of particles in a fluid solvent are ubiquitous in nature, for example, water mixed with sugar or bacteria self-propelling through mucus. Particles create local flow perturbations that can modify drastically the effective…

Soft Condensed Matter · Physics 2024-10-16 S. Dang , C. Blanch-Mercader , L. Berlyand

When two spherical particles submerged in a viscous fluid are subjected to an oscillatory flow, they align themselves perpendicular to the direction of the flow leaving a small gap between them. The formation of this compact structure is…

We develop three asymptotic models of surface waves in a non-newtonian fluid with odd viscosity. This viscosity is also known as Hall viscosity and appears in a number of applications such as quantum Hall fluids or chiral active fluids.…

Analysis of PDEs · Mathematics 2022-04-13 Rafael Granero-Belinchón , Alejandro Ortega

Systems of spherical particles moving in Stokes flow are studied for a different particle internal structure and boundaries, including the Navier-slip model. It is shown that their hydrodynamic interactions are well described by treating…

Soft Condensed Matter · Physics 2015-06-18 Bogdan Cichocki , Maria L. Ekiel-Jezewska , Eligiusz Wajnryb

Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically…

Analysis of PDEs · Mathematics 2012-01-06 Maria Bruna , S. Jonathan Chapman

Recent studies have demonstrated the significant roles of droplet self-spin motion in affecting the head-on collision of binary droplets. In this paper, we present a computational study by using the Volume-of-Fluid (VOF) method to…

Fluid Dynamics · Physics 2021-09-14 Chengming He , Lianjie Yue , Peng Zhang

Stokes drift is a classical fluid effect in which travelling waves transfer momentum to tracers of the fluid, resulting in a non-zero drift velocity in the direction of the incoming wave. This effect is the driving mechanism allowing…

Fluid Dynamics · Physics 2023-06-21 Umberto Giuriato , Giorgio Krstulovic , Miguel Onorato , Davide Proment

Capillary waves are a classical free-surface phenomenon in fluid mechanics, yet their behavior in chiral fluids remains largely unexplored. We show that odd viscosity breaks the reciprocity of capillary waves. Using linear theory together…

Fluid Dynamics · Physics 2026-03-17 Holly du Plessis , Pedro Cosme , Hugo França , Maziyar Jalaal

The swimming of a sphere immersed in a viscous incompressible fluid with inertia is studied for surface modulations of small amplitude on the basis of the Navier-Stokes equations. The mean swimming velocity and the mean rate of dissipation…

Fluid Dynamics · Physics 2016-12-20 B. U. Felderhof , R. B. Jones

When the time-reversal and parity symmetries in a fluid are broken, transverse transport coefficients can arise in response to perturbations, an example being odd viscosity. We refer to these systems as odd fluids. While much progress has…

Soft Condensed Matter · Physics 2025-08-19 Ege Eren , Michel Fruchart , Vincenzo Vitelli

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch