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8/23/2019 wm_chap7
http://slidepdf.com/reader/full/wmchap7 8/24
m
m
φ
(k 2
+ l2
)1/2
(k + l + m )2 2 2 1/2
θ
k
l
8/23/2019 wm_chap7
http://slidepdf.com/reader/full/wmchap7 10/24
F l u i d L o s i n g B
u o y a n c
y
G r o u p V
e l o c i t y
P h a s e V
e l o c i t y
Z -
a x i s
F l u i d L o s i n g B
u o y a n c
y
M o s t B
u o y a n t F l u i d
L e a s t B
u o y a n t F l u i d
F l u i d G a i n i n g B
u o y a n
c y
X - axis
H i g h P r e s s u r e
( u , w , P = 0 )
L o w P r e s s u r e
( u , w , P = 0 )
H i g h P r e s s u r e
8/23/2019 wm_chap7
http://slidepdf.com/reader/full/wmchap7 12/24
l
m
(k 2
+ l2
)1/2
(k + l + m )2 2 2 1/2
θ
φ
C g
φ
m
k
8/23/2019 wm_chap7
http://slidepdf.com/reader/full/wmchap7 15/24
8/23/2019 wm_chap7
http://slidepdf.com/reader/full/wmchap7 18/24
C
C g
C
C gC
C g
CC g
C+C g C+C g
C+C C + Cg g