Stability and admittance of a channel flow over a permeable interface

Socio, L. M. de; Marino, Luca; Seminara, G.

doi:10.1063/1.2008265

Cited by 6 publications

(4 citation statements)

References 18 publications

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“…A modified version of this condition is given in [7]. A second choice is to apply the Beavers and Joseph boundary condition to the Brinkman-Navier-Stokes interface [33].…”

Section: The Coupling Of Darcy or Brinkman Equations With Stokes Or Nmentioning

confidence: 99%

Numerical modelling and passive flow control using porous media

2008

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The whole flow over a solid body covered by a porous layer is presented. The three main models used in the literature to compute efficiently the fluid flow are given: the reduction of the porous layer to a boundary condition, the coupling of Darcy equation with Navier-Stokes equations and the Brinkman-Navier-Stokes equations or the penalisation method. Numerical simulations on Cartesian grids using the latest model give easily accurate solutions of the flow around solid bodies with or without porous layers. Adding appropriate porous devices to the solid bodies, an efficient passive control of the two-dimensional incompressible flow is achieved. A strong regularisation of the flow is observed and a significant reduction of the vortex induced vibrations or the drag coefficient is obtained.

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“…A modified version of this condition is given in [7]. A second choice is to apply the Beavers and Joseph boundary condition to the Brinkman-Navier-Stokes interface [33].…”

Section: The Coupling Of Darcy or Brinkman Equations With Stokes Or Nmentioning

confidence: 99%

Numerical modelling and passive flow control using porous media

2008

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“…Previous related studies consider either the stability of channel flows bounded by one or two porous walls, [24][25][26][27][28][29] or the stability of channel and boundary layer flows past flexible walls. [30][31][32][33][34] In the first configuration (porous wall) destabilization of Tollmien-Schlichting (TS) modes is found, even in the presence of walls which are very weakly permeable.…”

Section: Introductionmentioning

confidence: 99%

Instabilities in the boundary layer over a permeable, compliant wall

2014

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16 pagesInternational audienceLocal linear stability of swept and unswept incompressible boundary layers developing over compliant, fluid-saturated, porous plates is considered in the limit of small permeability. The analysis is meant to yield preliminary indications on the possible stabilization induced on the flow's hydrodynamic and hydroelastic modes by poroelastic media, such as those occurring in many natural and technological settings. As far as hydrodynamic modes are concerned, the main stabilizing effect is that of compliance, which however couples weakly to low-frequency crossflow modes. Permeability plays a damping role on hydroelastic modes, which here take the form of travelling wave flutter instabilities. The passive control of instabilities through poroelastic coatings specifically designed to selectively exploit the effect of compliance and/or permeability is a subject worthy of future research efforts

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“…Liu et al [13] demonstrated that the bi-modal behavior predicted by Chang et al [12] is true even for highly permeable layers provided that use is made of the Brinkman model instead of the Darcy model in the porous layer. Interestingly, the theoretical results reported by Socio et al [14] shows no bi-or tri-modal behavior in the neutral stability curve. The experimental data obtained by Silin et al [15] also showed no sign of bi-modal stability curve.…”

Section: Introductionmentioning

confidence: 84%

Pressure-driven flows of Quemada fluids in a channel lined with a poroelastic layer: A linear stability analysis

Pourjafar

Sadeghy

2017

Journal of Non-Newtonian Fluid Mechanics

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Laminar flow of a thixotropic fluid obeying the Quemada model is numerically investigated in a channel lined with a poroelastic layer saturated with a Newtonian fluid. Having assumed that the solid matrix in the poroelastic layer obeys the linear elastic model, basic flow/deformation were obtained in the main channel and also in the poroelastic layer using the biphasic mixture theory. The basic state was then subjected to infinitesimally-small, normal-mode perturbations and their vulnerability to poroelastic instability was studied based on the linear, temporal stability analysis. The eigenvalue problem so obtained was then solved numerically using the spectral collocation method. The main objective of the work was to investigate the role played by the pororelastic layer's parameters (i.e., porosity, flexibility, permeability, density, and thickness) on the stability picture. The roles played by the rheological behavior of the core fluid and the fluid flowing through the poroelastic layer were also investigated. Numerical results were obtained at low-permeability limit, typical of physiological systems, demonstrating that the effect of the layer's properties can be stabilizing or destabilizing depending on the rheological properties of the two fluids involved in the problem. In general, thixotropy was found to have a stabilizing effect on the core flow. The same was found to be true as to the effect of a fluid's shear-thinning. The analysis also served to show that the effect of a fluid's yield stress might also be stabilizing.

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Stability and admittance of a channel flow over a permeable interface

Cited by 6 publications

References 18 publications

Numerical modelling and passive flow control using porous media

Numerical modelling and passive flow control using porous media

Instabilities in the boundary layer over a permeable, compliant wall

Pressure-driven flows of Quemada fluids in a channel lined with a poroelastic layer: A linear stability analysis

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