Biomedical Engineering Reference
In-Depth Information
Here,
O
(δ
2
) means higher order terms more than second such
as, δ
x
2
, δ
t
2
, δ
x
3
, δ
t
3
.... Pressure acting on a plane perpendicular to
the
y
axis and the
z
axis is similarly derived as (
−∂p
/
∂y
)
δxδyδz
and
(
−∂p
/
∂z
)
δxδyδz
,
respectively
¥
µ
F
F
F
x
¦
¦
¦
¶
¶
¶
SEEE S EEE
FFxyz
xyz
(5.15)
y
§
·
z
Therefore, these relations are substituted into Eq. (5.9) and then
mass equations of luid are obtained.
u u u
u
u
u
u
u
u
1
p
u u u
u
v
wF
-
u
(5.16)
x
u
S
t
x
y
z
x
u u u
u
u
v
v
v
v
1
p
u u u
u
v
wF
-
u
(5.17)
y
u
S
t
x
y
z
y
u
u
u
u
u
www w
1
p
u
v
wF
-
u
(5.18)
z
u
u
u
u
S
t
x
y
z
z
z
zz
zy
zx
xz
yz
yx
yy
x
y
xx
xy
Figure 5.4
Stress tensor acting on a surface of unit body.
Search WWH ::
Custom Search