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Related papers: Drag force in wind tunnels: a new method

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Angular momentum has recently been defined as a surface integral involving an axial vector and a twist 1-form, which measures the twisting around of space-time due to a rotating mass. The axial vector is chosen to be a transverse,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sean A. Hayward

We derive an exact equation of motion for a non-relativistic vortex in two- and three-dimensional models with a complex field. The velocity is given in terms of gradients of the complex field at the vortex position. We discuss the problem…

High Energy Physics - Theory · Physics 2007-05-23 Elsebeth Schroder , Ola Tornkvist

We investigate wind wave growth by direct numerical simulations solving for the two phase Navier-Stokes equations. We consider ratio of the wave speed $c$ to wind friction velocity $u_*$ from $c/u_*=$ 2 to 8, i.e. in the slow to…

Fluid Dynamics · Physics 2022-11-08 Jiarong Wu , Stéphane Popinet , Luc Deike

Regarding a recent dispute about the symmetry of the stress tensor of fluids, more considerations are presented. The usual proofs of this symmetry are reviewed, and contradictions between this symmetry and the mechanism of gas viscosity are…

Fluid Dynamics · Physics 2024-08-02 Ji Luo

A well-known diffuse interface model for incompressible isothermal mixtures of two immiscible fluids consists of the Navier-Stokes system coupled with a convective Cahn-Hilliard equation. In some recent contributions the standard…

Analysis of PDEs · Mathematics 2013-01-14 Sergio Frigeri , Maurizio Grasselli , Pavel Krejčí

We consider an evolution system modeling a flow of colloidal particles which are suspended in an incompressible fluid and accounts for colloidal crystallization. The system consists of the Navier-Stokes equations for the volume averaged…

Analysis of PDEs · Mathematics 2024-04-17 Cecilia Cavaterra , Maurizio Grasselli , Muhammed Ali Mehmood , Riccardo Voso

Inspired by the wake-surfing nature of animals, this study aims to understand the aerodynamic force variation on a wing surfing in an unsteady 2-D wake. Wind tunnel experiments were conducted using Particle Image Velocimetry (PIV) and force…

Fluid Dynamics · Physics 2025-12-11 Siyang Hao , Kenneth Breuer

The Navier-Stokes equation contains two terms which have been subjected to slight modification: (a) the viscosity term depends of time (the viscosity in average on time is zero, but its variance is non-zero), (b) the pressure gradient…

Quantum Physics · Physics 2016-08-09 Valeriy I. Sbitnev

In [Lacave, IHP, ana, to appear (2008)] the author considered the two dimensional Euler equations in the exterior of a thin obstacle shrinking to a curve and determined the limit velocity. In the present work, we consider the same problem…

Analysis of PDEs · Mathematics 2009-02-13 Christophe Lacave

In this paper, we study the problem concerning the approximation of a rigid obstacle for flows governed by the stationary Navier-Stokes equations in the two-dimensional case. The idea is to consider a highly viscous fluid in the place of…

Analysis of PDEs · Mathematics 2022-09-26 Sadokat Malikova

Variable mass systems are a classic example of open systems in classical mechanics. The reaction forces due to mass variation propel ships, balloons, and rockets. Unlike free constant mass systems, the angular momentum of these systems is…

Classical Physics · Physics 2016-12-06 Angadh Nanjangud , Fidelis Eke

The Navier-Stokes equation describes the deterministic evolution of incompressible fluids. The effects of random initial conditions on solutions of this equation are studied. It is shown that there is an infrared stable fixed point…

Condensed Matter · Physics 2007-05-23 Vipul Periwal

The kinematics of offshore wind turbines are of great importance when installing the turbines, as the motions of the components during craning operations are a limiting factor. Most critical is the installation of the blades: the blade's…

Atmospheric and Oceanic Physics · Physics 2021-10-26 Aljoscha Sander , Bas Holman , Andreas Haselsteiner

The question of whether significant sub-volumes of a turbulent flow can be identified by automatic means, independently of a-priori assumptions, is addressed using the example of two-dimensional decaying turbulence. Significance is defined…

Fluid Dynamics · Physics 2018-09-10 Javier Jimenez

A novel set of wind tunnel measurements of the drag force and its spatial distribution along aligned arrays of cubes of height H and planar area index lambdap (air gap between cubes) equal to 0.028 (5H) to 0.69 (0.2H) is presented and…

Fluid Dynamics · Physics 2020-05-21 Riccardo Buccolieri , Mats Sandberg , Hans Wigö , Silvana Di Sabatino

We consider the Navier-Stokes system in two and three space dimensions perturbed by transport noise and subject to periodic boundary conditions. The noise arises from perturbing the advecting velocity field by space-time dependent noise…

Analysis of PDEs · Mathematics 2018-08-02 Martina Hofmanová , James-Michael Leahy , Torstein Nilssen

In this paper we prove the existence of global strong solution for the Navier-Stokes equations with general degenerate viscosity coefficients. The cornerstone of the proof is the introduction of a new effective pressure which allows to…

Analysis of PDEs · Mathematics 2020-04-22 Cosmin Burtea , Boris Haspot

We consider some new estimates for general steady Navier-Stokes solutions in plane domains. According to our main result, if the domain is convex, then the difference between mean values of the velocity over two concentric circles is…

Analysis of PDEs · Mathematics 2024-05-29 Mikhail Korobkov , Xiao Ren

Two interaction mechanisms of particles in a fluid are proposed on base of forces, mediated by hydrodynamic thermal fluctuations. The first one is similar to the conventional van der Waals interaction, but instead of been mediated by…

Soft Condensed Matter · Physics 2009-11-07 B. I. Ivlev

Developed Navier-Stokes turbulence is simulated with varying wavevector mode reductions. The flatness and the skewness of the velocity derivative depend on the degree of mode reduction. They show a crossover towards the value of the full…

chao-dyn · Physics 2009-10-28 Siegfried Grossmann , Detlef Lohse , Achim Reeh