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A model function relating effective stress to fracture permeability is developed from Hooke's law, implemented in the tensorial form of Darcy's law, and used to evaluate discharge rates and pressure distributions at regional scales. The…

Fluid Dynamics · Physics 2011-09-15 G. Preisig , F. J. Cornaton , P. Perrochet

A global approach to analysis of fully developed turbulent flows in pipes/channels and zero pressure gradient boundary layers is proposed. A new dynamic definition of the boundary layer thickness $\delta(x)$, where $x$ is the distance to…

Fluid Dynamics · Physics 2010-02-09 Victor Yakhot

We analyze the statistical properties of three-dimensional ($3d$) turbulence in a rotating fluid. To this end we introduce a generating functional to study the statistical properties of the velocity field $\bf v$. We obtain the master…

Statistical Mechanics · Physics 2015-06-03 Abhik Basu , Jayanta K Bhattacharjee

Turbulent flow separation induced by a protuberance on one of the walls of an otherwise planar channel is investigated using Direct Numerical Simulations. Different bulge geometries and Reynolds numbers - with the highest friction Reynolds…

Turbulent flows above a solid surface are characterised by a hydrodynamic roughness that represents, for the far velocity field, the typical length scale at which momentum mixing occurs close to the surface. Here, we are theoretically…

Fluid Dynamics · Physics 2023-11-07 Pan Jia , Bruno Andreotti , Philippe Claudin

A neutral boundary layer was generated in the laboratory to analyze the mean velocity field and the turbulence field within and above an array of two-dimensional obstacles simulating an urban canopy. Different geometrical configurations…

Fluid Dynamics · Physics 2020-01-28 Annalisa Di Bernardino , Paolo Monti , Giovanni Leuzzi , Giorgio Querzoli

Direct numerical simulations were performed to characterize fully developed supersonic turbulent channel flows over isothermal rough walls. The effect of roughness was incorporated using a level-set/volume-of-fluid immersed boundary method.…

Three dimensional calculations of ductile crack growth under mode I plane strain, small scale yielding conditions are carried out using an elastic-viscoplastic constitutive relation for a progres- sively cavitating plastic solid with two…

Direct numerical simulation of open channel flow over a geometrically rough wall has been performed at a bulk Reynolds number of approximately 2900. The wall consisted of a layer of spheres in a square arrangement. Two cases have been…

Fluid Dynamics · Physics 2013-01-28 Clemens Chan-Braun , Manuel García-Villalba , Markus Uhlmann

Experiments have shown that flow in compliant microchannels can become unstable at a much lower Reynolds number than the corresponding flow in a rigid conduit. Therefore, it has been suggested that the wall's elastic compliance can be…

Fluid Dynamics · Physics 2022-10-25 Xiaojia Wang , Ivan C. Christov

Using event-driven molecular dynamics simulations, we quantify how the self diffusivity of confined hard-sphere fluids depends on the nature of the confining boundaries. We explore systems with featureless confining boundaries that treat…

Soft Condensed Matter · Physics 2015-05-30 William P. Krekelberg , Vincent K. Shen , Jeffrey R. Errington , Thomas M. Truskett

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

We consider a non-Newtonian fluid flow in a thin domain with thickness $\eta_\varepsilon$ and an oscillating top boundary of period $\varepsilon$. The flow is described by the 3D incompressible Navier-Stokes system with a nonlinear…

Analysis of PDEs · Mathematics 2017-12-19 María Anguiano , Francisco J. Suárez-Grau

Long, shallow microchannels embedded in thick soft materials are widely used in microfluidic devices for lab-on-a-chip applications. However, the bulging effect caused by fluid--structure interactions between the internal viscous flow and…

Fluid Dynamics · Physics 2019-12-03 Xiaojia Wang , Ivan C. Christov

The temporal stability of an inviscid flow through cylindrical geometries with a porous wall subjected to non-axisymmetric perturbations is investigated in the present work using an unsteady Darcy equation for the porous layer. An…

Fluid Dynamics · Physics 2023-01-06 Ramkarn Patne

The influence of turbulent effects on a fluid flow through a (pseudo) porous media is studied by numerically solving the set of Reynolds-averaged Navier-Stokes equations with the $\kappa$-$\epsilon$ model for turbulence. The spatial domains…

Statistical Mechanics · Physics 2009-11-07 H. H. M. Vasconcelos , U. M. S. Costa , M. P. Almeida

We study a model for the evolution of an axially symmetric bubble of inviscid fluid in a homogeneous porous medium otherwise saturated with a viscous fluid. The model is a moving boundary problem that is a higher-dimensional analogue of…

Fluid Dynamics · Physics 2021-10-20 Liam C. Morrow , Michael C. Dallaston , Scott W. McCue

We present here numerical modelling of granular flows with the $\mu(I)$ rheology in confined channels. The contribution is twofold: (i) a model to approximate the Navier-Stokes equations with the $\mu(I)$ rheology through an asymptotic…

Soft Condensed Matter · Physics 2018-01-17 E. D. Fernández-Nieto , J. Garres-Díaz , A. Mangeney , G. Narbona-Reina

In this work, the friction factor for steady periodically developed flow through micro-and mini-channels with periodic arrays of offset strip fins is analyzed. The friction factor is studied numerically on a unit cell of the array for…

Fluid Dynamics · Physics 2021-10-18 Arthur Vangeffelen , Geert Buckinx , Maria Rosaria Vetrano , Martine Baelmans

The effect on the transport properties of fractures of a relative shear displacement $\vec u$ of rough walls with complementary self-affine surfaces has been studied experimentally and numerically. The shear displacement $\vec u$ induces an…

Fluid Dynamics · Physics 2007-05-23 Harold Auradou , German Drazer , Alexandro Boschan , Jean-Pierre Hulin , Joel Koplik
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