Biomedical Engineering Reference
In-Depth Information
2
3
1
1240
1
7045
1
3924
0
0
0
4
5
1
7045
1
885
1
3457
0
0
0
1
3924
1
3457
1
528
0
0
0
1
S
d
:
8
¼
(9.52)
1
5333
2
E
t
ð
1
fÞ
0
0
0
0
0
:
3
1
633
0
0
0
0
0
:
3
1
927
0
0
0
0
0
:
6
and
2
4
3
5
1348
225
216
0
0
0
225
958
177
0
0
0
216
177
585
0
0
0
C
d
2
¼
E
t
ð
1
fÞ
;
(9.53)
0
0
0
533
:
30 0
0
0
0
0
633
:
30
0
0
0
0
0
927
:
6
where we take
E
t
¼
is 1,000 Pa s. The
flow-resistivity tensor
R
and the micro-macro velocity tensor
J
are assigned the
following values to simplify the calculation:
10 MPa. The value of the fluid viscosity
m
¼ f
1
1
R
¼
0
;
J
¼
2
1
:
(9.54)
S
m
and
C
m
are given by the
Solution
: First note that the values of the matrices
formulas for
S
d
and
C
d
when the porosity is zero, thus
C
d
S
m
2
1
¼ð
1
fÞ
C
d
S
m
and it follows from (
9.2
),
A
¼ð1
ÞU
, that
A
fÞU
¼ fð
:
2
C
eff
A
S
A
,
To calculate the value of the parameter
specified by (
8.18
),
¼
L
S
d
we first evaluate
A
A
and
C
eff
. Using
A
fÞ U
, it follows that
¼ fð
2
2
2
¼
f
ð
2
fÞ
S
d
S
d
A
A
2
U
U
2
¼ f
ð
2
fÞ
:
K
eff
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