Biomedical Engineering Reference
In-Depth Information
Table 2.1
The
Different
Expressions
of
the
Pressure
Drop
as
a
Function
of
the
Geometry
and
Dimensions
Shape
Geometry
Area, Perimeter
Reference
Expression
D
P
=
RV
Circle
8
L
µ
[26]
2
S
=
=
π
a
R
=
2
p
2
π
R
a
Ellipse
[28]
(
2
S
=
π
ab
4
µ
L
1
+
ε
R
=
2
b
(
)
2
p
=
4
aE
1
-
b a
Parallel plates
[26]
12
L
µ
S
=
hw
R
=
2
h
p
=
2
w
Rectangle
[28]
4
µ
L
1
( )
S
=
hw
R
=
2
q
ε
h
(
)
p
=
2
w h
+
1
64
æ
π
ö
q
( )
ε
=
-
ε
tanh
ç
÷
5
3
2
ε
π
è
ø
Square
[28, 30]
28.3
L
µ
2
S
=
=
h
R
=
2
h
p
4
h
Triangle
(equilateral)
[28, 30]
60
L
µ
2
S
=
=
a
3
R
=
2
a
p
6
a
3
2a 3
2a 3
2a 3
Circular sector
[28]
µ
L
1
2
S
=
=
φ
a
R
=
( )
2
g
(
)
a
φ
p
2 1
a
+
φ
Half-circle
64
3
µ
L
2
2
S
=
=
π
π
a
R
=
2
a
p
a
Annular torus
[28]
8
µ
L
1
(
)
2
2
R
=
S
=
π
a
-
b
2
a
β
(
)
(
)
2ln 1
ε ε
+
2
-
1
p
=
2
π
a b
+
2
1
β ε
=
- +
(
)
ln 1
ε
Parabola
35
4
µ
L
hw
[30]
R
=
S
=
2
3
h
tan 2
(
φ φ
)
2
-
128
φ
3
¥
é
1
ù
g
φ
=
ε
=
b
/
a
or
ε
=
h
/
w
and
( )
-
å
ê
ú
16
φ
π
5
ê
2
)
(
2
)
ú
(
2
n
-
1
) (
2
n
- +
1 4
φπ
2
n
- -
1 4
φ π
1
ë
û
E
is the complete elliptic integral of the second kind. When two dimensions are present,
ε
is their ratio (
ε
< 1).
