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The non-modal linear stability of miscible viscous fingering in a two dimensional homogeneous porous medium has been investigated. The linearized perturbed equations for Darcy's law coupled with a convection-diffusion equation is…

Fluid Dynamics · Physics 2015-11-20 Tapan Kumar Hota , Satyajit Pramanik , Manoranjan Mishra

We study the stability of two-dimensional inviscid flows in an annulus between two porous cylinders with respect to three-dimensional perturbations. The basic flow is irrotational, and both radial and azimuthal components of the velocity…

Fluid Dynamics · Physics 2016-05-18 Konstantin Ilin , Andrey Morgulis

A 2D hydrodynamical model is developed and analyzed for the steady state of a driven-dissipative dust clouds confined in an azimuthally symmetric toroidal system which is in dynamic equilibrium with background unbounded streaming plasma.…

Plasma Physics · Physics 2018-10-17 Modhuchandra Laishram , Ping Zhu

We investigate the three-dimensional flow around and through a porous screen for various porosities at high Reynolds number Re = O(10000). Historically, the study of this problem was focused on two-dimensional cases and for a screen…

Fluid Dynamics · Physics 2024-05-22 Olivier C. Marchand , Sophie Ramananarivo , Camille Duprat , Christophe Josserand

In this paper, we focus on investigating the influence on hydrodynamic factors of different coupled computational models describing the interaction between an incompressible fluid and two symmetric elastic or poroelastic structures. The…

Fluid Dynamics · Physics 2020-10-28 Tongtong Li , Xing Wang , Ivan Yotov

We have investigated the effects of permeable walls, modeled by linear acoustic impedance with zero reactance, on compressible channel flow via linear stability analysis (LSA). Base flow profiles are taken from impermeable isothermal-wall…

Fluid Dynamics · Physics 2015-12-29 Iman Rahbari , Carlo Scalo

A parametric numerical study of three-dimensional instability of steady flows in a helical pipe of arbitrary curvature and torsion is carried out. The computations are performed by a numerical approach verified against independent…

Fluid Dynamics · Physics 2020-11-04 Alexander Gelfgat

The meniscal tissue is a layered material with varying properties influenced by collagen content and arrangement. Understanding the relationship between structure and properties is crucial for disease management, treatment development, and…

Computational Engineering, Finance, and Science · Computer Science 2023-07-26 J. Waghorne , F. P. Bonomo , A. Rabbani , D. Bell , O. Barrera

An extended version of the resolvent formulation is used to evaluate the use of anisotropic porous materials as passive flow control devices for turbulent channel flow. The effect of these porous substrates is introduced into the governing…

Fluid Dynamics · Physics 2021-01-15 Andrew Chavarin , Christoph Efstathiou , Shilpa Vijay , Mitul Luhar

When immiscible wetting and non-wetting fluids move in parallel in a porous medium, an instability may occur at sufficiently high capillary numbers so that interfaces between the fluids initially held in place by the porous medium are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Thomas Ramstad , Alex Hansen

A model-based description of the scaling and radial location of turbulent fluctuations in turbulent pipe flow is presented and used to illuminate the scaling behaviour of the very large scale motions. The model is derived by treating the…

Fluid Dynamics · Physics 2010-12-06 B. J. McKeon , A. S. Sharma

The radially outward flow of fluid into a porous medium occurs in many practical problems, from transport across vascular walls to the pressurisation of boreholes. As the driving pressure becomes non-negligible relative to the stiffness of…

Fluid Dynamics · Physics 2017-06-01 Lucy C. Auton , Christopher W. MacMinn

Tortuosity ($T$) is a parameter describing an average elongation of fluid streamlines in a porous medium as compared to free flow. In this paper several methods of calculating this quantity from lengths of individual streamlines are…

Fluid Dynamics · Physics 2015-05-27 Artur Duda , Zbigniew Koza , Maciej Matyka

We study the dynamics of flow-networks in porous media using a pore-network model. First, we consider a class of erosion dynamics assuming a constitutive law depending on flow rate, local velocities, or shear stress at the walls. We show…

Fluid Dynamics · Physics 2022-06-22 Ahmad Zareei , Deng Pan , Ariel Amir

A recent experiment has considered the effective permeability of two-phase flow of air and a water-glycerol solution under steady-state conditions in a two-dimensional model porous medium, and found a power law dependence with respect to…

Fluid Dynamics · Physics 2012-05-09 Morten Grøva

Predicting the permeability of porous media in saturated and partially saturated conditions is of crucial importance in many geo-engineering areas, from water resources to vadose zone hydrology or contaminant transport predictions. Many…

We perform a numerical study of the heat transfer and flow structure of Rayleigh-B\'enard (RB) convection in (in most cases regular) porous media, which are comprised of circular, solid obstacles located on a square lattice. This study is…

A numerical validation of the stress-jump coupling conditions for Stokes-Darcy flow in two dimensions is presented, addressing a gap that has remained since their introduction by Angot et al.. These conditions, formulated for arbitrary flow…

Geophysics · Physics 2026-05-13 Philippe Angot , Joscha Nickl

We investigate here linear stability in a canonical three-dimensional boundary layer generated by the superposition of a spanwise pressure gradient upon an otherwise standard channel flow. As the main result, we introduce a simple…

Fluid Dynamics · Physics 2024-06-28 Muhammad Abdullah

In order to describe behavior of various liquid-like materials at high pressures, incompressible fluid models with pressure dependent viscosity seem to be a suitable choice. In the context of implicit constitutive relations involving the…

Analysis of PDEs · Mathematics 2010-04-08 Miroslav Bulíček , Mohamed Majdoub , Josef Málek
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