Poiseuille flow in a fluid overlying a porous medium

DOI10.1017/S0022112008000852zbMath1151.76454OpenAlexW2113276970MaRDI QIDQ3524031

Antony A. Hill, Brian Straughan

Publication date: 8 September 2008

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112008000852

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (31)

Stability of non-isothermal Poiseuille flow in a fluid overlying an anisotropic and inhomogeneous porous domain ⋮ Flow instabilities between two parallel planes semi-obstructed by an easily penetrable porous medium ⋮ A note on flow reversal in a wavy channel filled with anisotropic porous material ⋮ Thermal instability of a viscoelastic fluid in a fluid-porous system with a plane Poiseuille flow ⋮ Analysis of the laminar flow in a transition layer with variable permeability between a free-fluid and a porous medium ⋮ Analysis of Brinkman-Forchheimer extended Darcy's model in a fluid saturated anisotropic porous channel ⋮ Influence of inertia and drag terms on the stability of mixed convection in a vertical porous-medium channel ⋮ Falling film on an anisotropic porous medium ⋮ A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers ⋮ The study of fluid flow and heat transfer of a viscous incompressible fluid between a rotating solid disk and a stationary permeable disk using the Brinkman‐Darcy model ⋮ Conservative unconditionally stable decoupled numerical schemes for the <scp>Cahn–Hilliard–Navier–Stokes–Darcy–Boussinesq</scp> system ⋮ Two-phase modeling of fluid injection inside subcutaneous layer of skin ⋮ Effect of anisotropic permeability on fluid flow through composite porous channel ⋮ Stability of Poiseuille flow in an anisotropic porous layer with oblique principal axes: More accurate solution ⋮ Macroscopic model for unsteady flow in porous media ⋮ Modal and non-modal linear stability of Poiseuille flow through a channel with a porous substrate ⋮ Structure of the dependence of Darcy and Forchheimer coefficients on porosity ⋮ Instability of Poiseuille flow in a fluid overlying a glass bead packed porous layer ⋮ The mechanism of long-wave instability in a shear-thinning film flow on a porous substrate ⋮ Coupled mechanical and fluid flow analysis in fractured saturated porous media using the XFEM ⋮ Fluid flow over and through a regular bundle of rigid fibres ⋮ Upscaled model for unsteady slip flow in porous media ⋮ Stability of plane Poiseuille–Couette flow in a fluid layer overlying a porous layer ⋮ Physics of unsteady Couette flow in an anisotropic porous medium ⋮ Stability of Poiseuille flow of a Bingham fluid overlying an anisotropic and inhomogeneous porous layer ⋮ The impact of imposed Couette flow on the stability of pressure-driven flows over porous surfaces ⋮ Non-steady pressure-driven flow of a Bingham fluid through a channel filled with a Darcy-Brinkman medium ⋮ Viscous flow around three-dimensional macroscopic cavities in a granular material ⋮ Superconvergence of MAC scheme for a coupled free flow-porous media system with heat transport on non-uniform grids ⋮ Dynamic transitions and bifurcations for thermal convection in the superposed free flow and porous media ⋮ Numerical methods for solving some hydrodynamic stability problems

Cites Work

• Linear stability of natural convection in superposed fluid and porous layers: influence of the interfacial modelling
• Momentum transfer at the boundary between a porous medium and a homogeneous fluid. I: Theoretical development. II: Comparison with experiment
• Momentum transport at a fluid-porous interface.
• Mathematical and numerical models for coupling surface and groundwater flows
• Coupling of free surface and groundwater flows
• Transition layer thickness at a fluid-porous interface
• The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation
• Onset of convection in a fluid layer overlying a layer of a porous medium
• Effect of property variation and modelling on convection in a fluid overlying a porous layer
• Explosive Instabilities in Mechanics
• Penetrative convection in a superposed porous-mediumfluid layer via internal heating
• Excitation of Direct Resonances in Plane Poiseuille Flow
• Instability in Parallel Flows Revisited
• Convection in Porous Media
• Instability of Poiseuille flow in a fluid overlying a porous layer
• Thermal convection in superposed fluid and porous layers subjected to a plane Poiseuille flow
• Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems

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