Biomedical Engineering Reference
In-Depth Information
Figure 6.39  Initial distribution of particles in the entrance cross section.
4
D
V
=
V
+
cos( ) sin( )
α β
p x
,
f x
,
D
t
(6.105)
4
D
V
V
sin( ) sin( )
=
+
α β
p y
,
f y
,
D
t
æ
2
ö
r
4
D
æ
ö
V
=
2
V
1
-
+
cos( )
β
ç
ç
÷
÷
p z
,
0
è
ø
R
D
t
è
ø
α
=
random
(0,2 )
π
β
=
a
cos(1 2
-
random
(0,1))
6.3.2.2 BRW in a Capillary Tube
Equation (6.105) has been implemented in MATLAB [17]. Figure 6.41 shows the
trajectories of the particles in the capillary tube.
The photograph of the particles at a given time is shown in Figure 6.42. The
target particles are dispersed following the Hagen-Poiseuille parabolic profile of
velocity.
By superposition of images of location of the particles at different times, we
understand the pattern of the transport of the microparticles (Figure 6.43).
In a cross section, the location of the particles is given in Figure 6.44. The par-
ticles adhering to the wall are clearly seen on the periphery.
Figure 6.40  Sketch of a particle impacting the wall.
 
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