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We introduce a "water retention" model for liquids captured on a random surface with open boundaries, and investigate it for both continuous and discrete surface heights 0, 1, ... n-1, on a square lattice with a square boundary. The model…

Disordered Systems and Neural Networks · Physics 2012-02-01 Craig L. Knecht , Walter Trump , Daniel ben-Avraham , Robert M. Ziff

The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities $d$ are studied with an analytical approximation method that generalizes the Rational Function Approximation earlier introduced in the…

Statistical Mechanics · Physics 2011-11-10 Rene D. Rohrmann , Andres Santos

We show theoretically that an imposed uniaxial anisotropy leads to new universality classes for the dynamics of active particles suspended in a viscous fluid. In the homogeneous state, their concentration relaxes superdiffusively, stirred…

Soft Condensed Matter · Physics 2026-03-26 Lokrshi Prawar Dadhichi , Suvendra K. Sahoo , K. Vijay Kumar , Sriram Ramaswamy

We propose a new type of effective densities via the potential distribution theorem. These densities are for the sake of enabling the mapping of the free energy of a uniform fluid onto that of a nonuniform fluid. The potential distribution…

Soft Condensed Matter · Physics 2012-02-21 L. L. Lee , G. Pellicane

In low Reynolds number swimming and pumping, differently to everyday experience, a net motion (or flow) can be achieved only if the constructing parts of the swimmer (or pump) follow a non-trivial pattern of motion, in order to break time…

Soft Condensed Matter · Physics 2019-06-19 Golnaz Najafi Gol-Vandani , Simone Di Leo , Jurij Kotar , Pietro Cicuta , Seyyed Nader Rasuli

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 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

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

A random recursive cell splitting scheme of the $2$-dimensional unit sphere is considered, which is the spherical analogue of the STIT tessellation process from Euclidean stochastic geometry. First-order moments are computed for a large…

Probability · Mathematics 2017-11-06 Christian Deuß , Julia Hörrmann , Christoph Thaele

Colloid or nanoparticle mobility under confinement is of central importance to a wide range of physical and biological processes. Here, we introduce a minimal model of particles in a hydrodynamic continuum to examine how particle shape and…

Using molecular dynamics simulations, we study the motion of a closely fitting nanometer-size solid sphere in a fluid-filled cylindrical nanochannel at low Reynolds numbers and for a wide range of fluid-solid interactions corresponding to…

Soft Condensed Matter · Physics 2007-05-23 German Drazer , Boris Khusid , Joel Koplik , Andreas Acrivos

Spontaneous emergence of periodic oscillations due to self-organization is ubiquitous in turbulent flows. The emergence of such oscillatory instabilities in turbulent fluid mechanical systems is often studied in different system-specific…

Adaptation and Self-Organizing Systems · Physics 2020-12-08 Induja Pavithran , Vishnu R. Unni , Alan J. Varghese , R. I. Sujith , Abhishek Saha , Norbert Marwan , Jürgen Kurths

A highly-charged spherical colloid in a salt-free environment exerts such a powerful attraction on its counterions that a certain fraction condenses onto the surface of a particle. The degree of condensation depends on the curvature of the…

This paper concerns the study of some special ordered structures in turbulent flows. In particular, a systematic and relevant methodology is proposed to construct non trivial and non radial rotating vortices with non necessarily uniform…

Analysis of PDEs · Mathematics 2018-09-13 Claudia García , Taoufik Hmidi , Juan Soler

Hyperuniformity, whereby the static structure factor (or density correlator) obeys $S(q)\sim q^{\varsigma}$ with $\varsigma> 0$, emerges at criticality in systems having multiple absorbing states, such as periodically sheared suspensions.…

Statistical Mechanics · Physics 2023-10-27 Xiao Ma , Johannes Pausch , Michael E. Cates

Mechanochemical processes on surfaces such as the cellular cortex or epithelial sheets, play a key role in determining patterns and shape changes of biological systems. To understand the complex interplay of hydrodynamics and material flows…

Soft Condensed Matter · Physics 2023-05-04 Lucas D. Wittwer , Sebastian Aland

We show that fluid organizations display higher levels of cooperation than attainable by groups with either a fixed social structure or lacking one altogether. By moving within the organization, individuals cause restructurings that…

chao-dyn · Physics 2008-02-03 Natalie Glance , Bernardo Huberman

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

We present a numerical study on the transverse flow-induced vibration (FIV) of an elastically mounted sphere in the vicinity of a free surface at subcritical Reynolds numbers. To begin, We verify and analyze the mode transitions and the…

Fluid Dynamics · Physics 2021-02-24 Amir Chizfahm , Vaibhav Joshi , Rajeev Jaiman

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