Hydrodynamics in Porous Media with Applications to Tissue Engineering - Porous Media: Applications in Biological Systems and Biotechnology - page 102

Y

Z

Modeled geometry:

X

Zoom Symmetry

L = 25 mm

Outlet

Inlet

Fibres + cells

Symmetry

Z

l Ch

h

Z

Y

h = 250

µ m

Y

X

FIGURE 3.8
Three-dimensional geometry of a PCL fibrous implant at the different length
scales. The modeled geometry of the representative elementary volume of one
pore is defined by taking into account the symmetrical properties of the struc-
ture and by considering 10 fibrous layers localized within the implant.

(a)

X'

Zoom

1

Perfusion

3.9 3.0 2.0 1.0 0.0

(b)

Perfusion

Zoom

FIGURE 3.9
Flow velocity field (a) and streamlines (b) within a representative elementary
volume constituted by one quarter section of a pore. Notice the obvious wavi-
ness of the flow field with a reduced velocity U maximum in the vicinity of
the axis, as shown on the gray scale. This maximum magnitude is of the order
of 4, as expected by the mass conservation and the section area obstruction
due to the presence of fibers.