Propeller design calculation
8
Main input data: Vs 10 knots Resulting T 1080 kN Thrust RPM 1500 Circulation distribution parameters Torque n= 25 Hz k= 20 Power D 4m a= 0.1 Vs 0.1 m= 0.4 RPM 0.2 m z 3 blades Water Dens 1025 Kin.viscos 1.19E-06 h x=r/R 0.204 0.284 0.364 0.444 0.524 0.604 0.684 0.764 r 0.408 0.568 0.728 0.888 1.048 1.208 1.368 1.528 xx 0.115556 0.204444 0.293333 0.382222 0.471111 0.56 0.648889 0.737778 w 0.149 0.137 0.129 0.123 0.118 0.113 0.110 0.107 t 0.219 0.198 0.178 0.158 0.138 0.118 0.097 0.077 c 1.287 1.488 1.636 1.738 1.795 1.804 1.757 1.642 G 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 4.231 1 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 4.49 63.393 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 0.031 Rn 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-03 dr 0.368 0.16 0.16 0.16 0.16 0.16 0.16 0.16 dDrag [N] 17267 14917 24775 36759 50334 64666 78360 89561 3946 2698 3706 4691 5581 6313 6811 7010 6859 8333 17833 32375 52425 77743 106791 136429 dT [N] 279311 214329 316152 421769 524624 616343 686485 721718 dQ [Nm] 33990 31002 53061 81099 114420 151531 189544 223847 Cavitation check: (This is just one of several possible methods) Draught at propell 10 m h= 8 Water vapour press 1500 Atm.press 101325 s 0.086 0.043 0.026 0.017 0.012 0.009 0.007 0.006 t/c 0.170 0.133 0.109 0.091 0.077 0.065 0.055 0.047 v/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/m 3 JA m 2 /s VA UTmean UAmean bi C(x,z,bi) UT UA bi V∞ [m/s] CL CF CD dTD [N] dQD [Nm] Dv/V
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A spreadsheet for calculations in designing a propeller.
Transcript of Propeller design calculation
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 RPM0.2 m
z 3 bladesWater Densi 1025Kin.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 4.5944.747 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 26.18013.212 10.420 8.603 7.315 6.333 5.535 4.851 4.231
1 1 1 0.997 0.993 0.984 0.964 0.9244.747 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 28.33413.21 10.42 8.60 7.33 6.37 5.60 4.99 4.49
63.393 88.553 113.738 138.926 164.116 189.307 214.503 239.705Lift [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-035.90E-03 5.20E-03 4.76E-03 4.45E-03 4.23E-03 4.07E-03 3.94E-03 3.86E-03
dr 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 70106859 8333 17833 32375 52425 77743 106791 136429
dT [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
77.461 103.898 129.831 155.358 180.567 205.515 230.110 254.6370.493 0.377 0.303 0.251 0.211 0.179 0.151 0.128
Cavitation? 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 0.08011.9596 1.2857 0.9066 0.6618 0.4908 0.3646 0.2649 0.1884
P/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
15000.031
0.00210.0450.108
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 above4.608 4.620 Local axial inflow velocity1.544 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 diagram1.836 1.639 Induced tangential velocity at blade
28.935 31.581 Induced axial velocity at blade4.13 4.03
264.920 290.1824446756 3737034 Radial lift distribution.
0.029 0.027 Blade section lift coefficient3.20E+08 2.62E+081.77E-03 1.82E-033.83E-03 3.89E-03
0.16 0.15294787 81993
6825 5767159585 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
Blad
e se
ctio
n ci
rcul
atio
n 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
Chor
d le
ngth
[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
Blad
e m
ax 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 fra
ctio
n w
[-]
279.049 303.8140.110 0.096
Yes 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 distribution0.0830 0.0894 Correction of ideal angle of attack due to 3-D effects0.1263 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
Blad
e se
ctio
n ci
rcul
atio
n 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
Chor
d le
ngth
[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
Blad
e m
ax 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 fra
ctio
n 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
Lift
coef
ficie
nt C
L [-]
Drag
coe
ffici
ent C
D [-]
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)UTUAVinf
Dim.less radius x=r/R
Velo
citie
s [m
/s]
Tota
l vel
ocity
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
dTdQ
Dim.less radius x=r/R
Radi
al th
rust
dis
tribu
tion
dT [N
]
Radi
al to
rque
dis
tribu
tion
dQ [N
m]
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/cP/D
Dim.less radius x=r/R
Cam
ber d
istri
butio
n f/c
[-]
Pitc
h di
strib
utio
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
Lift
coef
ficie
nt C
L [-]
Drag
coe
ffici
ent C
D [-]
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)UTUAVinf
Dim.less radius x=r/R
Velo
citie
s [m
/s]
Tota
l vel
ocity
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
dTdQ
Dim.less radius x=r/R
Radi
al th
rust
dis
tribu
tion
dT [N
]
Radi
al to
rque
dis
tribu
tion
dQ [N
m]
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/cP/D
Dim.less radius x=r/R
Cam
ber d
istri
butio
n f/c
[-]
Pitc
h di
strib
utio
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 fra
ctio
n 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
Lift
coef
ficie
nt C
L [-]
Drag
coe
ffici
ent C
D [-]
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)UTUAVinf
Dim.less radius x=r/R
Velo
citie
s [m
/s]
Tota
l vel
ocity
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
dTdQ
Dim.less radius x=r/R
Radi
al th
rust
dis
tribu
tion
dT [N
]
Radi
al to
rque
dis
tribu
tion
dQ [N
m]
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/cP/D
Dim.less radius x=r/R
Cam
ber d
istri
butio
n f/c
[-]
Pitc
h di
strib
utio
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
Lift
coef
ficie
nt C
L [-]
Drag
coe
ffici
ent C
D [-]
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)UTUAVinf
Dim.less radius x=r/R
Velo
citie
s [m
/s]
Tota
l vel
ocity
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
dTdQ
Dim.less radius x=r/R
Radi
al th
rust
dis
tribu
tion
dT [N
]
Radi
al to
rque
dis
tribu
tion
dQ [N
m]
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/cP/D
Dim.less radius x=r/R
Cam
ber d
istri
butio
n f/c
[-]
Pitc
h di
strib
utio
n P/
D [-]
