1
2
C L
C L
3
4
1
5
6
7
8
2
W1 Ww1
1 1
Vw
V1
V a
T
V a1
U
V w1
p 03 T 03' T 3' 3' T 01 rel = T
02 rel
03 3 p 02 rel
V3 2c p
2
03' p3 02 rel p
2
V2 2c p
2
W2
2
2
V2
Va
Ww2
U
Vw2
2 p01
W2 2c p
2
W2 2c p
2
Hero's Turbine
150 BC Egypt
1
2
3
4
A Kaplan turbine
A
A
C L
C L
5
V 1 V a1
V
w3
V a2
2 2
Vw2
W 2 V> 1 2 V U U
W 3 U
V 3
3 3
r2
V a3
r3
V w
V 2 W 2
W 3 V 3
V a
V2 w W2 w W3
Exam Fluid Machinery, 4A1629
Date: 2004-12-17, 8-13h
Theory part: Calculation part: To pass
40p 40p 40p
The results will be available at latest 2005-01-12
Note: the exam consists of a theory and a calculation part. During the theory part you are not allow
C L
1
2
C L
dV r Vr + dr r . 2
r Vr + dVr . 2 dr r Va + dVa. 2 dr r Vw + dVw. 2 dr Vr
:
G B
p+ dp . r dr 2 p dp . r dr 2
r Va + dVa . 2 dr r Vw + dVw. 2 dr Vr
F
G B
p+ dp . r dr 2 p dp . r dr 2
dF = r .r.dq .dr.
Va Vw
F
C H r D E
V r
2
h
=
h3 - h 4 h3 - h 4'
T
3
4'
4
s
1 2
h pe 3 - 4
T
h - h4 = 3 h3 - h 4 '
h pe 4 - 5
p
3
h - h5 = 4 h 4 - h5 '
T
3 p
3
p
4
p
3 4 4'
p dT
p5
dT' p-dp 4
4
5'
5'
5
4'
s
s
3 4
1
T - dT ' p - dp = T p
g -1 g
h pe =
dT dT dT T = = dT ' T - (T - d