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The analysis of the dynamics of tracer particles in a complex bath can provide valuable information about the microscopic behaviour of the bath. In this work, we study the dynamics of a forced tracer in a colloidal bath by means of Langevin…

Soft Condensed Matter · Physics 2020-06-24 Francisco Orts , Gloria Ortega , Ester M. Garzon , Matthias Fuchs , Antonio M. Puertas

This paper introduces a new object called the momentum tensor. Together with the velocity tensor it forms a basis for establishing the tensorial picture of classical and relativistic mechanics. Some properties of the momentum tensor are…

General Physics · Physics 2011-02-07 Tomasz Lanczewski

We study the two-dimensional stationary Navier-Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at spatial infinity are established when the rotation speed of…

Analysis of PDEs · Mathematics 2018-01-17 Mitsuo Higaki , Yasunori Maekawa , Yuu Nakahara

For 2D Navier--Stokes equations in a bounded smooth domain, we construct a system of determining functionals which consists of $N$ linear continuous functionals which depend on pressure $p$ only and of one extra functional which is given by…

Analysis of PDEs · Mathematics 2024-02-16 A. Ilyin , V. Kalantarov , A. Kostianko , S. Zelik

A method for conducting leeway field experiments to establish the drift properties of small objects (0.1-25 m) is described. The objective is to define a standardized and unambiguous procedure for condensing the drift properties down to a…

The drag of an elliptic intruder in a two-dimensional granular environment is numerically studied. The movement parallel to the major axis of the intruder is found to be unstable. The drag law is given by the sum of the yield force and the…

Soft Condensed Matter · Physics 2022-06-16 Takumi Kubota , Haruto Ishikawa , Satoshi Takada

To understand the mechanics of a complex fluid such as a foam we propose a model experiment (a bidimensional flow around an obstacle) for which an external sollicitation is applied, and a local response is measured, simultaneously. We…

Soft Condensed Matter · Physics 2009-11-10 Benjamin Dollet , Miguel Aubouy , Francois Graner

We introduce corrections to the Navier-Stokes equation arising from the transitions between molecular states and the injection of external energy. In the simplest application of the proposed post Navier-Stokes equation, we find a…

Fluid Dynamics · Physics 2009-11-13 Pascal Getreuer , A. M. Albano , A. Muriel

The randomly driven Navier-Stokes equation without pressure in d-dimensional space is considered as a model of strong turbulence in a compressible fluid. We derive a closed equation for the velocity-gradient probability density function. We…

High Energy Physics - Theory · Physics 2009-10-31 S. Boldyrev

In this paper, the variable wind power is incorporated into the dynamic model for long-term stability analysis. A theory-based method is proposed for power systems with wind power to conduct long-term stability analysis, which is able to…

Systems and Control · Computer Science 2016-11-15 Xiaozhe Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu , Tao Wang

A new exact solution of the Navier-Stokes equation is derived for the compressible flows which are far from equilibrium in the limit of extremely low shear viscosity and relatively large volume viscosity. The closed description of the…

Fluid Dynamics · Physics 2019-03-05 Sergey G. Chefranov , Artem S. Chefranov

This paper is devoted to the existence of a weak solution to a system describing a self-propelled motion of a rigid body in a viscous fluid in the whole $\mathbb{R}^3$. The fluid is modelled by the incompressible nonhomogeneous…

Analysis of PDEs · Mathematics 2019-10-14 Sarka Necasova , Mythily Ramaswamy , Arnab Roy , Anja Schlomerkemper

A new formulation of the Navier-Stokes equation, in terms of the gradient of the total mechanical energy, is derived for the time-averaged flows, and the singular point possibly existing in the Navier-Stokes equation is exactly found.…

Fluid Dynamics · Physics 2014-12-30 Hua-Shu Dou

We study experimentally the pressure drop needed to push a bubble train in a millimetric channel, as a function of the velocity. For dry liquid foams, the influence of the amount of liquid and of the bubble size is pointed out and we…

Soft Condensed Matter · Physics 2009-11-11 Emmanuel Terriac , Janine Etrillard , Isabelle Cantat

The wake of a circular cylinder performing rotary oscillations is studied using hydrodynamic tunnel experiments at $Re=100$. Two-dimensional particle image velocimetry on the mid-plane perpendicular to the axis of cylinder is used to…

Fluid Dynamics · Physics 2011-11-16 Juan D'Adamo , Ramiro Godoy-Diana , José Eduardo Wesfreid

The problem of a suspended rope wrapped around a fixed cylinder is studied. If the suspension force is larger than a certain threshold (which is larger than the weight of the rope), the rope would remain tightly wrapped around the cylinder.…

Classical Physics · Physics 2014-01-28 Mohammad Khorrami , Amir Aghamohammadi

We consider the motion of a rigid body, governed by the Navier-Stokes equations in a bounded domain. Navier's condition is prescribed on the boundary of the body. We give the global in a time solvability result of weak solution. The result…

Analysis of PDEs · Mathematics 2017-06-20 Nikolai V. Chemetov , Sarka Necasova

The dynamical friction force experienced by a massive gravitating body moving through a gaseous medium is modified by sufficiently strong large-scale magnetic fields. Using linear perturbation theory, we calculate the structure of the wake…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 F. J. Sanchez-Salcedo

We review the basic ideas and results on the vortex dynamics in clean superfluid Fermi systems. The forces acting on moving vortices are discussed including the problem of the transverse force which was a matter of confusion for quite a…

Superconductivity · Physics 2007-05-23 N. B. Kopnin

The water landing of an amphibious aircraft is a complicated problem that can lead to uncomfortable riding situation and structural damage due to large vertical accelerations and the consequent dynamic responses. The problem herein is…

Fluid Dynamics · Physics 2022-08-26 Yujin Lu , Alessandro Del Buono , Tianhang Xiao , Alessandro Iafrati , Shuanghou Deng , Jinfa Xu