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DESCRIPTION
propeller calculation
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Main input data:Vs 10 knots Resulting performance:T 1080 kN ThrustRPM 1500 Circulation distribution parameters: Torquen= 25 Hz k= 20 PowerD 4 m a= 0.1 Vs
0.1 m= 0.4 RPM
0.2 m
z 3 blades
Water Densi 1025
Kin.viscosit 1.19E-06 h
x=r/R 0.204 0.284 0.364 0.444 0.524 0.604 0.684 0.764r 0.408 0.568 0.728 0.888 1.048 1.208 1.368 1.528xx 0.115556 0.204444 0.293333 0.382222 0.471111 0.56 0.648889 0.737778w 0.149 0.137 0.129 0.123 0.118 0.113 0.110 0.107t 0.219 0.198 0.178 0.158 0.138 0.118 0.097 0.077c 1.287 1.488 1.636 1.738 1.795 1.804 1.757 1.642G 12.17 15.19 17.34 18.87 19.82 20.15 19.78 18.59
4.379 4.440 4.482 4.514 4.540 4.561 4.579 4.594
4.747 4.258 3.791 3.382 3.010 2.655 2.302 1.937
20.219 23.152 25.062 26.349 27.124 27.398 27.120 26.180
13.212 10.420 8.603 7.315 6.333 5.535 4.851 4.2311 1 1 0.997 0.993 0.984 0.964 0.924
4.747 4.258 3.791 3.393 3.031 2.698 2.388 2.096
20.219 23.152 25.062 26.428 27.316 27.843 28.133 28.334
13.21 10.42 8.60 7.33 6.37 5.60 4.99 4.4963.393 88.553 113.738 138.926 164.116 189.307 214.503 239.705
Lift [N/m] 790647 1379162 2021860 2687343 3334341 3910284 4349566 4568563
0.099 0.077 0.062 0.052 0.045 0.039 0.035 0.031Rn 6.87E+07 1.11E+08 1.57E+08 2.03E+08 2.48E+08 2.88E+08 3.17E+08 3.32E+08
2.20E-03 2.05E-03 1.95E-03 1.88E-03 1.83E-03 1.80E-03 1.77E-03 1.76E-03
5.90E-03 5.20E-03 4.76E-03 4.45E-03 4.23E-03 4.07E-03 3.94E-03 3.86E-03dr 0.368 0.16 0.16 0.16 0.16 0.16 0.16 0.16dDrag [N] 17267 14917 24775 36759 50334 64666 78360 89561
3946 2698 3706 4691 5581 6313 6811 7010
6859 8333 17833 32375 52425 77743 106791 136429dT [N] 279311 214329 316152 421769 524624 616343 686485 721718dQ [Nm] 33990 31002 53061 81099 114420 151531 189544 223847
Cavitation check: (This is just one of several possible methods)Draught at propeller: 10 m h= 8Water vapour pressure 1500 Atm.press 101325
s 0.086 0.043 0.026 0.017 0.012 0.009 0.007 0.006t/c 0.170 0.133 0.109 0.091 0.077 0.065 0.055 0.047v/V 1.194 1.152 1.124 1.104 1.088 1.075 1.063 1.054
0.028 0.021 0.017 0.014 0.012 0.011 0.010 0.009
xboss
rboss KT
KQ
kg/m3 JA
m2/s
VA
UTmean
UAmean
bi
C(x,z,bi)
UT
UA
bi
V∞ [m/s]
CL
CF
CD
dTD [N]
dQD [Nm]
Dv/V
77.461 103.898 129.831 155.358 180.567 205.515 230.110 254.637
0.493 0.377 0.303 0.251 0.211 0.179 0.151 0.128Cavitation? Yes Yes Yes Yes Yes Yes Yes Yes
Calculation of geometric pitch distribution:
kc 1.668 1.614 1.557 1.509 1.483 1.494 1.553 1.675ka 1.0124 1.0334 1.0704 1.1278 1.2101 1.3217 1.4672 1.6511kt 11.516 9.662 8.332 7.280 6.383 5.573 4.798 4.017f/c 0.0108 0.0081 0.0063 0.0051 0.0043 0.0038 0.0035 0.0034
0.1550 0.1223 0.1024 0.0905 0.0836 0.0801 0.0791 0.0801
1.9596 1.2857 0.9066 0.6618 0.4908 0.3646 0.2649 0.1884P/D 0.1756 0.1868 0.1937 0.1981 0.2004 0.2010 0.2005 0.1998
Vx
(Vx/V∞)2-1
ai3
at
Resulting performance:5044.4 kN1349.5 kNm
211984 kW10 knots
1500
0.031
0.0021
0.045
0.108
0.844 0.924 Dim.less radius. Selected.1.688 1.848
0.826666667 0.9155560.104 0.102 Wake fraction. Empirical formula0.057 0.037 Blade max thickness for each radius. Empirical formula1.435 1.07 Chord length. Selected (designed) values16.38 12.56 Circulation distribution. See parameters above
4.608 4.620 Local axial inflow velocity
1.544 1.082 Average induced tangential velocity. Calculated.
24.334 20.844 Average induced axial velocity. Calculated by solving second degree eq.
3.631 2.972 Initial hydrodynamic pitch angle.0.841 0.66 Goldstein factor, from diagram
1.836 1.639 Induced tangential velocity at blade
28.935 31.581 Induced axial velocity at blade
4.13 4.03264.920 290.182
4446756 3737034 Radial lift distribution.
0.029 0.027 Blade section lift coefficient3.20E+08 2.62E+08
1.77E-03 1.82E-03
3.83E-03 3.89E-030.16 0.152
94787 81993
6825 5767
159585 151148702809 560855246060 224981
0.005 0.0040.040 0.0351.045 1.039 v/V (12%)= 1.137 0.120.008 0.007
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
5
10
15
20
25
xx
Bla
de s
ecti
on
cir
cu
lati
on
G
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Dim.less radius x=r/R
Ch
ord
len
gth
[m
]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000
0.050
0.100
0.150
0.200
0.250
Dim.less radius x=r/R
Bla
de
max
th
ickn
ess
[m]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000
0.020
0.040
0.060
0.080
0.100
0.120
0.140
0.160
Dim.less radius x=r/R
Wak
e fr
acti
on
w [
-]
279.049 303.814
0.110 0.096Yes Yes
1.873 2.159 Correction factor for camber1.8778 2.1518 Correction factor for angle of attack
3.180 2.166 Correction factor due to thickness0.0035 0.0038 Camber distribution
0.0830 0.0894 Correction of ideal angle of attack due to 3-D effects
0.1263 0.0749 Correction of ideal angle of attack due to thickness effects0.2012 0.2130 Resulting pitch distribution
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
5
10
15
20
25
xx
Bla
de s
ecti
on
cir
cu
lati
on
G
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
Dim.less radius x=r/R
Ch
ord
len
gth
[m
]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000
0.050
0.100
0.150
0.200
0.250
Dim.less radius x=r/R
Bla
de
max
th
ickn
ess
[m]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000
0.020
0.040
0.060
0.080
0.100
0.120
0.140
0.160
Dim.less radius x=r/R
Wak
e fr
acti
on
w [
-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.02
0.04
0.06
0.08
0.1
0.12
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
Lift coef.
Drag coef.
Dim.less radius x=r/R
Lif
t co
effi
cien
t C
L [
-]
Dra
g c
oef
fici
ent
CD
[-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
5
10
15
20
25
30
35
0
50
100
150
200
250
300
350
VA=V(1-w)
UT
UA
Vinf
Dim.less radius x=r/R
Vel
oci
ties
[m
/s]
To
tal
velo
city
Vin
f [m
/s]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
100000
200000
300000
400000
500000
600000
700000
800000
0
50000
100000
150000
200000
250000
300000
dT
dQ
Dim.less radius x=r/R
Rad
ial
thru
st
dis
trib
uti
on
dT
[N
]
Rad
ial
torq
ue d
istr
ibu
tio
n d
Q [
Nm
]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.002
0.004
0.006
0.008
0.01
0.012
0
0.05
0.1
0.15
0.2
0.25
f/c
P/D
Dim.less radius x=r/R
Cam
ber
dis
trib
uti
on
f/c
[-]
Pit
ch d
istr
ibu
tio
n P
/D [
-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.02
0.04
0.06
0.08
0.1
0.12
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
Lift coef.
Drag coef.
Dim.less radius x=r/R
Lif
t co
effi
cien
t C
L [
-]
Dra
g c
oef
fici
ent
CD
[-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
5
10
15
20
25
30
35
0
50
100
150
200
250
300
350
VA=V(1-w)
UT
UA
Vinf
Dim.less radius x=r/R
Vel
oci
ties
[m
/s]
To
tal
velo
city
Vin
f [m
/s]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
100000
200000
300000
400000
500000
600000
700000
800000
0
50000
100000
150000
200000
250000
300000
dT
dQ
Dim.less radius x=r/R
Rad
ial
thru
st
dis
trib
uti
on
dT
[N
]
Rad
ial
torq
ue d
istr
ibu
tio
n d
Q [
Nm
]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.002
0.004
0.006
0.008
0.01
0.012
0
0.05
0.1
0.15
0.2
0.25
f/c
P/D
Dim.less radius x=r/R
Cam
ber
dis
trib
uti
on
f/c
[-]
Pit
ch d
istr
ibu
tio
n P
/D [
-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10.000
0.020
0.040
0.060
0.080
0.100
0.120
0.140
0.160
Dim.less radius x=r/R
Wak
e fr
acti
on
w [
-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.02
0.04
0.06
0.08
0.1
0.12
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
Lift coef.
Drag coef.
Dim.less radius x=r/R
Lif
t co
effi
cien
t C
L [
-]
Dra
g c
oef
fici
ent
CD
[-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
5
10
15
20
25
30
35
0
50
100
150
200
250
300
350
VA=V(1-w)
UT
UA
Vinf
Dim.less radius x=r/R
Vel
oci
ties
[m
/s]
To
tal
velo
city
Vin
f [m
/s]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
100000
200000
300000
400000
500000
600000
700000
800000
0
50000
100000
150000
200000
250000
300000
dT
dQ
Dim.less radius x=r/R
Rad
ial
thru
st
dis
trib
uti
on
dT
[N
]
Rad
ial
torq
ue d
istr
ibu
tio
n d
Q [
Nm
]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.002
0.004
0.006
0.008
0.01
0.012
0
0.05
0.1
0.15
0.2
0.25
f/c
P/D
Dim.less radius x=r/R
Cam
ber
dis
trib
uti
on
f/c
[-]
Pit
ch d
istr
ibu
tio
n P
/D [
-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.02
0.04
0.06
0.08
0.1
0.12
0
0.001
0.002
0.003
0.004
0.005
0.006
0.007
Lift coef.
Drag coef.
Dim.less radius x=r/R
Lif
t co
effi
cien
t C
L [
-]
Dra
g c
oef
fici
ent
CD
[-]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
5
10
15
20
25
30
35
0
50
100
150
200
250
300
350
VA=V(1-w)
UT
UA
Vinf
Dim.less radius x=r/R
Vel
oci
ties
[m
/s]
To
tal
velo
city
Vin
f [m
/s]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
100000
200000
300000
400000
500000
600000
700000
800000
0
50000
100000
150000
200000
250000
300000
dT
dQ
Dim.less radius x=r/R
Rad
ial
thru
st
dis
trib
uti
on
dT
[N
]
Rad
ial
torq
ue d
istr
ibu
tio
n d
Q [
Nm
]
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10
0.002
0.004
0.006
0.008
0.01
0.012
0
0.05
0.1
0.15
0.2
0.25
f/c
P/D
Dim.less radius x=r/R
Cam
ber
dis
trib
uti
on
f/c
[-]
Pit
ch d
istr
ibu
tio
n P
/D [
-]
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