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The periodic motion of a classical point particle in a one-dimensional double-well potential acquires a surprising degree of complexity if friction is added. Finite uncertainty in the initial state can make it impossible to predict in which…

Chaotic Dynamics · Physics 2016-10-11 Joshua Oldham , Stefan Weigert

A theory of self-propelled particles is developed in two dimensions assuming that the particles can be deformed from a circular shape when the propagating velocity is increased. A coupled set of equations in terms of the velocity and a…

Soft Condensed Matter · Physics 2015-05-13 Takao Ohta , Takahiro Ohkuma

We present a new numerical model to simulate settling trajectories of discretized individual or a mixture of particles of different geometrical shapes in a quiescent fluid and their flow trajectories in a flowing fluid. Simulations unveiled…

Computational Physics · Physics 2020-06-26 Hakan Başağaoğlu , Sauro Succi , Danielle Wyrick , Justin Blount

We use numerical simulations to study the flow of a bidisperse mixture of athermal, frictionless, soft-core two dimensional spherocylinders driven by a uniform steady-state simple shear applied at a fixed volume and a fixed finite strain…

Soft Condensed Matter · Physics 2020-03-11 Theodore A. Marschall , Daniel Van Hoesen , S. Teitel

The problem of eliminating fast-relaxing variables to obtain an effective drift-diffusion process in position is solved in a uniform and straightforward way for models with velocity a function jointly of position and fast variables. A more…

Statistical Mechanics · Physics 2019-11-13 Paul E. Lammert

Pressurised cylindrical channels made of soft materials are ubiquitous in biological systems, soft robotics, and metamaterial designs. In this paper, we study large deformation of a long, thick-walled, and compressible hyperelastic…

Pattern Formation and Solitons · Physics 2022-05-11 Sumit Mehta , Gangadharan Raju , Shanmugam Kumar , Prashant Saxena

We demonstrate the directed transport of underdamped particles in two dimensional lattices of arbitrary geometry driven by an unbiased ac-driving force. The direction of transport can be controlled via the lattice geometry as well as the…

Statistical Mechanics · Physics 2020-03-18 Aritra K. Mukhopadhyay , Peter Schmelcher

A system of particles with motility variable in terms of a vision-type of perception is here investigated by a combination of Langevin dynamics simulations in two-dimensional systems and an analytical approach based on conservation law…

Soft Condensed Matter · Physics 2024-07-03 Rodrigo Saavedra , Gerhard Gompper , Marisol Ripoll

In inertial microfluidics lift forces cause a particle to migrate across streamlines to specific positions in the cross section of a microchannel. We control the rotational motion of a particle and demonstrate that this allows to manipulate…

Fluid Dynamics · Physics 2014-02-11 Christopher Prohm , Nikolas Zöller , Holger Stark

Inertial lift forces are exploited within inertial microfluidic devices to position, segregate, and sort particles or droplets. However the forces and their focusing positions can currently only be predicted by numerical simulations, making…

Fluid Dynamics · Physics 2016-07-21 Kaitlyn Hood , Sungyon Lee , Marcus Roper

In this paper, we formulated the non-steady flow due to the uniformly accelerated and rotating circular cylinder from rest in a stationary, viscous, incompressible and micropolar fluid. This flow problem is examined numerically by adopting…

Fluid Dynamics · Physics 2016-04-25 Abuzar Abid Siddiqui

Particles suspended in a fluid flow through a curved duct can focus to specific locations within the duct cross-section. This particle focusing is a result of a balance between two dominant forces acting on the particle: (i) the inertial…

Dynamical Systems · Mathematics 2024-01-17 Rahil N. Valani , Brendan Harding , Yvonne M. Stokes

We study a reaction-diffusion-convection problem with nonlinear drift posed in a domain with periodically arranged obstacles. The non-linearity in the drift is linked to the hydrodynamic limit of a totally asymmetric simple exclusion…

Analysis of PDEs · Mathematics 2022-04-05 Vishnu Raveendran , Emilio N. M. Cirillo , Adrian Muntean

The mixing of an impurity into a flowing fluid is an important process in many areas of science, including geophysical processes, chemical reactors, and microfluidic devices. In some cases, for example periodic flows, the concepts of…

Chaotic Dynamics · Physics 2016-02-29 G. Voth , G. Haller , J. P. Gollub

Flow instability and turbulent transition can be well explained using a new proposed theory--Energy gradient theory [1]. In this theory, the stability of a flow depends on the relative magnitude of energy gradient in streamwise direction…

Fluid Dynamics · Physics 2007-05-23 Hua-Shu Dou

The two-dimensional flows around a cylinder between two parallel walls at Re=40 and Re=100 are simulated with computational fluid dynamics (CFD). The governing equations are Navier-Stokes equations. They are discretized with finite volume…

Fluid Dynamics · Physics 2019-02-13 Hua-Shu Dou , An-Qing Ben

The growing use of triaxial particles in microfluidic, microrobotic, and biological systems makes it essential to understand how their rotational dynamics couples with lateral migration in microscale flows. Our experiments in inertial…

Primary instability of the lid-driven flow in a cube is studied by a comprehensive linear stability approach. Two cases, in which the lid moves parallel to the cube sidewall or parallel to the diagonal plane, are considered. The SIMPLE…

Fluid Dynamics · Physics 2019-02-06 A. Y. Gelfgat

The clogging behavior of a symmetric binary mixture of particles that are driven in opposite directions through constrictions is explored by Brownian dynamics simulations and theory. A dynamical state with a spontaneously broken symmetry…

Soft Condensed Matter · Physics 2016-12-28 Tobias Glanz , Raphael Wittkowski , Hartmut Löwen

The rectilinear "drift" of particles in a hydrodynamic drift ratchet arises from a combination of diffusive motion and particle-wall hydrodynamic interactions, and is therefore dependent on particle diffusivity, particle size, the amplitude…