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Plane Couette-Poiseuille flow past a homogeneous poroelastic layer
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10.1063/1.4813856
/content/aip/journal/pof2/25/7/10.1063/1.4813856
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/7/10.1063/1.4813856
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Geometry for plane Couette-Poiseuille flow past a poroelastic layer (illustrated in terms of dimensionless quantities).

Image of FIG. 2.
FIG. 2.

Effect of the flow regime parameter and the Darcy number Da on the distribution of the fluid velocity in the channel. Other parameters: δ = 0.4, φ = 0.7, = −1. The fluid velocity is = ⟨ for 0 ⩽ < δ and = for δ ⩽ 1.

Image of FIG. 3.
FIG. 3.

Contours of the von Mises stress in the poroelastic layer for different values of the compressibility parameter: (a) α = 0, (b) α = φ/2, and (c) α = φ. The values of the other parameters are: δ = 0.4, = 0, Da = 10, ν = 0.3, φ = 0.7, = 5, = −1.

Image of FIG. 4.
FIG. 4.

Contours of the von Mises stress in the poroelastic layer for different values of Poisson's ratio: (a) ν = 0.2 and (b) ν = 0.4. The values of the other parameters are: δ = 0.4, = 0, Da = 10, α = 0, φ = 0.7, = 5, = −1.

Image of FIG. 5.
FIG. 5.

Contours of the von Mises stress in the poroelastic layer for different values of the flow regime parameter: (a) = (1 − δ), (b) = (1 − δ)/2, (c) = 0, (d) = −(1 − δ)/4, (e) = −(1 − δ)/2, and (f) = −2(1 − δ). The values of the other parameters are: δ = 0.4, Da = 10, α = 0, ν = 0.3, φ = 0.7, = 5, = −1.

Image of FIG. 6.
FIG. 6.

Contours of the von Mises stress in the poroelastic layer for different values of the Darcy number: (a) Da = 10 and (b) Da = 10. The values of the other parameters are: δ = 0.4, = 0, α = 0, ν = 0.3, φ = 0.7, = 5, = −1.

Image of FIG. 7.
FIG. 7.

Effect of the Darcy number and the porosity of the endothelial surface layer on: (a) the fluid shear stress, (b) the elastic shear stress for α = φ, and (c) the elastic shear stress for α = 0, which are exerted on the glycocalyx-endothelial interface. The thickness of the layer was set to δ = 0.1.

Image of FIG. 8.
FIG. 8.

Effect of the thickness of the endothelial surface layer on the stress ratio for different values of the solid volume fraction and the compressibility parameter. Here, is the shear stress exerted by the glycocalyx at the cell surface and is the shear stress exerted by the free-fluid at the cell surface of a glycocalyx.

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/content/aip/journal/pof2/25/7/10.1063/1.4813856
2013-07-22
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Plane Couette-Poiseuille flow past a homogeneous poroelastic layer
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/7/10.1063/1.4813856
10.1063/1.4813856
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