Biomedical Engineering Reference
In-Depth Information
Figure 2.40
Microscopeviewsofanaxialcutoftheneedle.(CourtesyofF.Rivera,CEA/LETI.)
A recurrence relation shows immediately that
Q
0
Q
=
M n
n
(
2
α
α
α
+
1
)
(2.88)
Q
0
Q
=
Bn
n
(
)
2
+
1
HydraulicResistances
Let us do a backward recurrence. At the end rank
n
, the pressure difference between
the intersect
n
and the outlets can be expressed by
2.2.10.2
P
-
P
=
RQ
=
R Q
n
atm
M n
Bn
Bn
Then
R
=
R
α
(2.89)
B n
At the
n
- 1 intersect
(
1
R Q
+
Q
=
R
Q
M n
M n
-
Bn
-
1
Bn
-
1
Figure 2.41
Visualizationofequallowratesatallexits.(CourtesyofF.Rivera,CEA/LETI.)