69
2.2 Linear Cascades
with
1
2
m
tg
tg
tg
.
2
b
b
b
+
=
The drag follows from (see Fig. 2.12):
(2.23)
The drag components are
The lift components are
The magnitude of the lift for the cascade in Fig. 2.12
1
2
(tg
tg
0)
b
b
−
<
is
From this follows:
Elimination of ξ 1 results in
u u
a a
m u
m a
u
m
a
m
01r
02r
m
D ( F 1 F 1 ).(sin 1 cos 1 )
F sin
F cos
s( p
p )cos .
b
b
b
b
b
=
+
+
=
+
=
−
2
a
01r
02r
m
u
01r
02r
m
m
D
s( p
p )cos
,
D
s( p
p ) sin cos .
b
b
b
=
−
=
−
2
u
a
1
2
01r
02r
m
m
2
2
a
a
m
1
2
01r
02r
m
L
s w ( tg
tg ) s( p
p ) sin cos ,
L
s w tg ( tg
tg ) s( p
p ) sin
.
r
b
b
b
b
r
b
b
b
b
=
−
−
−
= −
−
+
−
2
a
2
1
01r
02r
m
m
w
L
s
( tg
tg ) s ( p
p ) sin .
cos
r
b
b
b
b
=
−
+
−
2
1
1
1
2
1
1
cos
2
(
)
sin ,
cos
L
m
m
L
C
tg
tg
q c
b
x
b
b
b
s
b
s
=
=
−
+
1
1
1
cos .
D
m
D
C
q c
x
b
s
=
=
2 1
L1
2
1
D1
m
m
cos
2
C
( tg
tg ) C tg .
cos
b
b
b
b
s
b
=
−
+