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Related papers: Flow through three-dimensional self-affine fractur…

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We investigate viscous and non-viscous flow in two-dimensional self-affine fracture joints through direct numerical simulations of the Navier-Stokes equations. As a novel hydrodynamic feature of this flow system, we find that the effective…

Disordered Systems and Neural Networks · Physics 2007-05-23 José S. Andrade , Ascânio D. Araújo , Fernando A. Oliveira , Alex Hansen

The two-dimensional pressure driven flow of non-Newtonian power-law fluids in self-affine fracture channels at finite Reynolds number is calculated. The channels have constant mean aperture and two values $\zeta$=0.5 and 0.8 of the Hurst…

Soft Condensed Matter · Physics 2009-11-13 Yiguang Yan , Joel Koplik

A surprising similarity is found between the distribution of hydrodynamic stress on the wall of an irregular channel and the distribution of flux from a purely Laplacian field on the same geometry. This finding is a direct outcome from…

Disordered Systems and Neural Networks · Physics 2009-11-11 J. S. Andrade , A. D. Araújo , M. Filoche , B. Sapoval

We study the fluid flow through disordered porous media by numerically solving the complete set of the Navier-Stokes equations in a two dimensional lattice with a spatially random distribution of solid obstacles (plaquettes). We simulate…

Disordered Systems and Neural Networks · Physics 2015-06-25 U. M. S. Costa , J. S. Andrade , H. A. Makse , H. E. Stanley

Non-Newtonian rheology is widely acknowledged in subsurface fluids, yet its presence and effects are largely ignored in current fracture-flow studies. Here, we simulate fracture flow of non-Newtonian polymer solutions on a several…

Fluid Dynamics · Physics 2026-03-17 Cuong Mai Bui , Stephan K. Matthai

We consider single-phase flow in a fractured porous medium governed by Darcy's law with spatially varying hydraulic conductivity matrices in both bulk and fractures. The width-to-length ratio of a fracture is of the order of a small…

Analysis of PDEs · Mathematics 2024-02-01 Maximilian Hörl , Christian Rohde

Using 3D direct numerical simulations of the Navier--Stokes equations, we study the effect of wall roughness on the onset of turbulence in channel flow. The dependence of the friction factor on the Reynolds number, $\mathrm{Re}$, is found…

Fluid Dynamics · Physics 2020-06-30 Gaute Linga , Luiza Angheluta , Joachim Mathiesen

Direct Numerical Simulations (DNS) of turbulent channel flow at a shear Reynolds number of $Re_{*}=360$ for Newtonian and Herschel-Bulkley fluids in smooth and rough channels has been performed. The rough surface was made of irregular…

Fluid Dynamics · Physics 2023-12-11 C. Narayanan , S. Nauer , J. -S. Singh , R. Belt , T. Palermo , D. Lakehal

We investigate the origin of the deviations from the classical Darcy law by numerical simulation of the Navier-Stokes equations in two-dimensional disordered porous media. We apply the Forchheimer equation as a phenomenological model to…

Soft Condensed Matter · Physics 2009-10-31 J. S. Andrade , U. M. S. Costa , M. P. Almeida , H. A. Makse , H. E. Stanley

Direct Numerical Simulations are used to solve turbulent flow and heat transfer over a variety of rough walls in a channel. The wall geometries are exactly resolved in the simulations. The aim is to understand the effect of roughness…

Fluid Dynamics · Physics 2018-06-25 Pourya Forooghi , Matthias Stripf , Bettina Frohnapfel

We use momentum transfer arguments to predict the friction factor $f$ in two-dimensional turbulent soap-film flows with rough boundaries (an analogue of three-dimensional pipe flow) as a function of Reynolds number Re and roughness $r$,…

Fluid Dynamics · Physics 2015-05-13 Nicholas Guttenberg , Nigel Goldenfeld

The problem of gravitational fluctuations confined inside a finite cutoff at radius $r=r_c$ outside the horizon in a general class of black hole geometries is considered. Consistent boundary conditions at both the cutoff surface and the…

High Energy Physics - Theory · Physics 2011-09-30 Irene Bredberg , Cynthia Keeler , Vyacheslav Lysov , Andrew Strominger

We perform numerical simulations of a turbulent channel flow over an hyper-elastic wall. In the fluid region the flow is governed by the incompressible Navier-Stokes (NS) equations, while the solid is a neo-Hookean material satisfying the…

Fluid Dynamics · Physics 2017-11-22 Marco E. Rosti , Luca Brandt

Transport properties of three-dimensional self-affine rough fractures are studied by means of an effective-medium analysis and numerical simulations using the Lattice-Boltzmann method. The numerical results show that the effective-medium…

Statistical Mechanics · Physics 2007-05-23 German Drazer , Joel Koplik

Turbulent flow over a surface with streamwise-elongated rough and smooth stripes is studied by means of direct numerical simulation (DNS) in a periodic plane open channel with fully resolved roughness. The goal is to understand how the mean…

Fluid Dynamics · Physics 2021-09-23 A. Stroh , K. Schäfer , B. Frohnapfel , P. Forooghi

Channel flow is usually described by Darcy law with the Poiseuille flow profile. However, for incompressible channel flow there is a critical state, characterized by a critical Reynolds number $Re_c$ and a critical wavevector mc, beyond…

Mathematical Physics · Physics 2022-08-09 Xiaohui Deng , Ping Sheng

We present modeling of an incompressible viscous flow through a fracture adjacent to a porous medium. We consider a fast stationary flow, predominantly tangential to the porous medium. Slow flow in such setting can be described by the…

Analysis of PDEs · Mathematics 2014-10-20 Anna Marciniak-Czochra , Andro Mikelic

Many engineering and environmental surfaces exhibit spatial heterogeneity in the spanwise direction and encompass multiple surface length scales. When the dominant spanwise length scale is on the order of the largest flow scales (e.g., the…

Fluid Dynamics · Physics 2025-05-27 Mattias Nilsson-Takeuchi , Bharathram Ganapathisubramani

Predicting the flow of non-Newtonian fluids in porous structure is still a challenging issue due to the interplay betwen the microscopic disorder and the non-linear rheology. In this letter, we study the case of an yield stress fluid in a…

Soft Condensed Matter · Physics 2019-06-26 Chen Liu , Andrea De Luca , Alberto Rosso , Laurent Talon

The general concern of this paper is the effect of rough boundaries on fluids. We consider a stationary flow, governed by incompressible Navier-Stokes equations, in an infinite domain bounded by two horizontal rough plates. The roughness is…

Analysis of PDEs · Mathematics 2007-05-23 Arnaud Basson , David Gerard-Varet
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