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Viscous flow over outflow slits covered by an anisotropic Brinkman medium: A model of flow above interendothelial cell clefts
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10.1063/1.2938761
/content/aip/journal/pof2/20/6/10.1063/1.2938761
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/6/10.1063/1.2938761

Figures

Image of FIG. 1.
FIG. 1.

Periodically repeating domain of interest.

Image of FIG. 2.
FIG. 2.

Mouse endothelial cells shown in (a) (Ref. 32) appear approximately diamond shaped (cleft entrances are stained dark using silver nitrate). Based on this observation, the cleft entrance structure can be approximated by (b), or even further simplified to an infinitely repeating array of infinitely long parallel outflow slits as shown in (c). The simplified geometry (c) is characterized by only three parameters, namely, the cleft half-width , the cleft half-spacing , and the angle made between the clefts and the applied flow .

Image of FIG. 3.
FIG. 3.

Streamlines in the vicinity of the intercellular cleft with domain dependent parameter values of , , , , and applied shear rates of (a) 0, (b) , (c) , and (d) . The horizontal dashed lines represent the interface between the glycocalyx and the free fluid.

Image of FIG. 4.
FIG. 4.

Plots of the height of the stream tube captured by the cleft at a distance upstream of the cleft entrance against for various values of with fixed , , and .

Image of FIG. 5.
FIG. 5.

Plots of evaluated at with fixed and for (a) fixed and various values of and (b) fixed and various values of .

Image of FIG. 6.
FIG. 6.

Plots of evaluated at with fixed , , and for (a) fixed and various values of and (b) fixed and various values of .

Tables

Generic image for table
Table I.

Overview of ranges for nondimensional parameters.

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/content/aip/journal/pof2/20/6/10.1063/1.2938761
2008-06-26
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Viscous flow over outflow slits covered by an anisotropic Brinkman medium: A model of flow above interendothelial cell clefts
http://aip.metastore.ingenta.com/content/aip/journal/pof2/20/6/10.1063/1.2938761
10.1063/1.2938761
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