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Linear stability of inviscid, parallel, and stably stratified shear flow is studied under the assumption of smooth strictly monotonic profiles of shear flow and density, so that the local Richardson number is positive everywhere. The…

Fluid Dynamics · Physics 2016-05-04 Makoto Hirota , Philip J. Morrison

Despite substantial technological advancements, the comprehensive mapping of surface water, particularly smaller bodies (<1ha), continues to be a challenge due to a lack of robust, scalable methods. Standard methods require either training…

Computer Vision and Pattern Recognition · Computer Science 2023-08-17 Hunsoo Song , Jinha Jung

We consider a fluid-structure interaction system composed by a rigid ball immersed into a viscous incompressible fluid. The motion of the structure satisfies the Newton laws and the fluid equations are the standard Navier-Stokes system. At…

Analysis of PDEs · Mathematics 2019-12-06 Matthieu Hillairet , Takéo Takahashi

We consider the motion of a rigid body due to the pressure of a surrounded two-dimensional irrotational perfect incompressible fluid, the whole system being confined in a bounded domain with an impermeable condition on a part of the…

Analysis of PDEs · Mathematics 2020-04-22 Olivier Glass , József Kolumbán , Franck Sueur

Surface-subsurface flow models for hydrological applications solve a coupled multiphysics problem. This usually consists of some form of the Richards and shallow water equations. A typical setup couples these two nonlinear partial…

Numerical Analysis · Mathematics 2025-04-25 Valentina Schüller , Philipp Birken , Andreas Dedner

The sensitivity of charge, heat, or momentum transport to the sample geometry is a hallmark of viscous electron flow. Therefore, hydrodynamic electronics requires the detailed understanding of electron flow in finite geometries. The…

Mesoscale and Nanoscale Physics · Physics 2019-01-29 Egor I. Kiselev , Joerg Schmalian

We discuss surface scattering in terms of bidirectional reflectance distribution function. We formulate a boundary condition that in addition to diffuse and specular reflection has tilted diffuse reflection. We apply the boundary condition…

Other Condensed Matter · Physics 2018-05-09 J. A. Kuorelahti , E. V. Thuneberg

The planar problem of a viscous laminar flow around elliptical cylinders under angle of attack is considered. From the solution of the laminar boundary layer equations using the Loytsyansky local similarity method, the shear stress at the…

Fluid Dynamics · Physics 2021-06-29 Alexander G. Petrov , Artem D. Sukhov

We study the flow of concentrated hard-sphere colloidal suspensions along smooth, non-stick walls using cone-plate rheometry and simultaneous confocal microscopy. In the glass regime, the global flow shows a transition from Herschel-Bulkley…

Soft Condensed Matter · Physics 2009-11-13 P. Ballesta , R. Besseling , L. Isa , G. Petekidis , W. C. K. Poon

This paper studies the incompressible limit of global strong solutions to the three-dimensional compressible Navier-Stokes equations associated with Navier's slip boundary condition, provided that the time derivatives, up to first order, of…

Analysis of PDEs · Mathematics 2013-09-03 Yaobin Ou , Dandan Ren

An experimental analysis of small-scales anisotropic turbulent fluctuations has been performed in two different flows. We analyzed anisotropic properties of an homogeneous shear flows and of a turbulent boundary layer by means of two…

Chaotic Dynamics · Physics 2009-11-10 Boris Jacob , Luca Biferale , Gaetano Iugo , Carlo Massimo Casciola

We investigated the linear stability of pipe flow with anisotropic slip length at the wall by considering streamwise and azimuthal slip separately as the limiting cases. Our numerical analysis shows that streamwise slip renders the flow…

Fluid Dynamics · Physics 2021-01-20 Kaiwen Chen , Baofang Song

A layer of uniaxial medium with large axial permittivity and permeability can be used as a quarter-wave transformer with interesting properties. By increasing the transverse permittivity and permeability the transformer becomes a thin…

Classical Physics · Physics 2015-06-04 I. V. Lindell , A. Sihvola

The turbulent diffusivity tensor is determined for linear shear flow turbulence using numerical simulations. For moderately strong shear, the diagonal components are found to increase quadratically with Peclet and Reynolds numbers below…

Solar and Stellar Astrophysics · Physics 2014-11-20 Eniko J. M. Madarassy , Axel Brandenburg

A simple and efficient algorithm to numerically compute the genus of surfaces of three-dimensional objects using the Euler characteristic formula is presented. The algorithm applies to objects obtained by thresholding a scalar field in a…

Fluid Dynamics · Physics 2017-09-05 Adrián Lozano-Durán , Guillem Borrell

The existing theory of incompatible elastic sheets uses the deviation of the surface metric from a reference metric to define the strain tensor [Efrati et al., J. Mech. Phys. Solids {\bf 57}, 762 (2009)]. For a class of simple axisymmetric…

Soft Condensed Matter · Physics 2017-05-24 Oz Oshri , Haim Diamant

The strain-energy formulation of nonlinear elasticity can be extended to the case of significant compression by modulating suitable strain energy terms by a function of relative volume. For isotropic materials this can be accomplished by…

Geophysics · Physics 2021-03-17 B. L. N. Kennett

Analyzing complex fluid flow problems that involve multiple coupled domains, each with their respective set of governing equations, is not a trivial undertaking. Even more complicated is the elaborate and tedious task of specifying the…

Fluid Dynamics · Physics 2017-08-18 Alexandre Martin , Huaibao Zhang , Kaveh A. Tagavi

The evolution equation for the shear is reobtained for a spherically symmetric anisotropic, viscous dissipative fluid distribution, which allows us to investigate conditions for the stability of the shear-free condition. The specific case…

General Relativity and Quantum Cosmology · Physics 2015-05-18 L. Herrera , A. Di Prisco , J. Ospino

We study the slippage of a gas along mobile rigid walls in the sphere-plane confined geometry and find that it varies considerably with pressure. The classical no-slip boundary condition valid at ambient pressure changes continuously to an…

Fluid Dynamics · Physics 2011-10-12 J. Laurent , A. Drezet , H. Sellier , J. Chevrier , S. Huant
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