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Dimensionamento de Helices
Dimensionamento de Helices
Dimensionamento de Helices
(Propeller Design )
Local
Novas Construes
(Local) :
(New Building) :
CLCULOS DE HLICES
PARA PEQUENAS EMBARCAES
Dados Motor
BHP =
N=
Dados da Embarcao
V=
LWL =
B=
I=
Peso =
Cb =
Aw =
750
hp
1800
rpm
559.2749 kW
Dados Caixa
11
53
11
2.2
1080
0.826
111.414
ns
m
m
m
Kg
Z=
H=
4
1.500
ps
m
PD =
PD =
662
493
hp
kW
m^2
Dados Hlice
r=
n=
n=
SHP =
2.45
735 rpm
12 rps
675 hp
KQ
PD n 2
J 5 2 Ve 5
Conclui-se
Velocidade de Avano
Ve =
4.13 m/s
Dimetro ptimo
D=
1.095 m
Passo
P=
0.767 m
Binrio
Q=
6411 Nm
Thrust
T=
44614 N
Rt =
Resistncia do Navio
Coef. Resistncia de Impulso
Potncia efectiva
2/24/2010
t=
P=
0.22
196.92 kW
Rev. (Ver.)
0
Albano Nunes
Folha (Sheet)
3/ 1.
Dimensionamento do Hlice
(Propeller Design )
Local
(Local) :
Novas Construes
(New Building) :
k
D
BHP
D= Dimetro do Hlice
N
0.570 m
5.66 m/s
2/24/2010
574 hp
QPC 0.55
EHP PE 0.55 PD
wt 1 wF
Va (1 wt ) V
wF 1.06 0.4 Cb
316 hp
0.27
4.13 m/s
0.73
Rev. (Ver.)
0
Albano Nunes
Folha (Sheet)
3/ 2.
Dimensionamento do Hlice
(Propeller Design )
Local
(Local) :
Srie Sistemtica
KQ
J5
J
0.2
0.3
0.4
0.5
9.56
10 x KQ
0.03
0.23
0.98
2.99
1.036199
Nota
Segundo a curva de rendimento mximo do
diagrama de um hlice da srie B4 - 55 Wagningen.
O Coeficiente de avano igual:
J=
0.31
Dimetro Optimo
Ve
nD
V
D e
n J
J
D=
1.095 m
Q=
6411 Nm
kQ =
0.026
Binrio
Q
,
PD
2 n
493.2805 kW
Coeficiente de Binrio
kQ
Q
n2 D5
0.202
P/D =
0.7
thrust
kT
T
n2 D 4
2/24/2010
T=
44614 N
Rev. (Ver.)
0
Albano Nunes
Folha (Sheet)
3/ 3.
Dimensionamento do Hlice
(Propeller Design )
Local
Navio
(Local) : Peniche
(Ship) : Lancha Pilotos APTG
Processo IPTM
(Process.) :
CLCULOS DE HLICES
PARA PEQUENAS EMBARCAES
Dados Motor
BHP =
N=
503
2500
Dados da Embarcao
V=
LWL =
B=
I=
Peso =
Cb =
Aw =
hp
rpm
Dados Caixa
0.5
10.62
3.34
1.1
1650
0.43
38.9
ns
m
m
m
Kg
5
0.700
0.640
ps
m
m
m^2
Dados Hlice
r=
n=
n=
SHP =
Z=
H=
D=
1.485
1684 rpm
28 rps
453 hp
P/D =
0.9
PD =
PD =
444
595
hp
kW
Nota
Segundo a curva de rendimento mximo do diagrama de um hlice da srie B5 - 60 Wagningen.
Coeficiente de Avano
Ve
nD
J=
0.01
Conclui-se
kQ =
kT =
0.0855
0.38
Coeficiente de Binrio
kQ
Q
n2 D5
kT
T
n2 D 4
T=
T=
32925 N
3.293 ton
Nota
para o calculo do thrust utiliza-se velocidades muito baixas
1/12/2009
Rev. (Ver.)
0
Folha (Sheet)
3/ 1.
T=
V=
n=
56 kN
11 Knot
Dados Caixa
J
Kt
Conclui-se
P/D
J
Kt
10Ko
no
Conlcui-se o J no mximo re
Data (Date)
1/12/2009
Dimensionamento do Hlice
(Propeller Design )
Local
(Local) : Peniche
Processo: BV
(Process.) :
Navio
(Ship) : Lancha Desembarque 56m
CLCULOS DE HLICES
PARA PEQUENAS EMBARCAES
Dados Motor
BHP =
N=
750 hp
1800 rpm
T=
Ve =
0.5487 kN
4.13 m/s
Dados da Embarcao
V=
9
LWL =
53
B=
11
I=
2.2
Peso =
1080
Cb =
0.826
Aw = 111.414
Dados Caixa
ns
m
m
m
Kg
m^2
Dados Hlice
r=
n=
n=
SHP =
2.45
735 rpm
12 rps
675 hp
Z=
H=
4
1.500
ps
m
PD =
PD =
662
887
hp
kW
J
Kt
KT
T n2
J 4 Ve 4
KT
J4
0.275979
0.40
0.0071
0.50
0.0172
0.60
0.0358
0.70
0.0663
Conclui-se
P/D
0.6
0.7
0.8
0.9
J
0.562275843 0.608832 0.649689 0.686786
Kt
0.04977074 0.074809 0.103459 0.134879
10Ko
0.07887649 0.115531 0.161557 0.218296
no
0.564671766 0.627439 0.662167 0.675366
Conlcui-se o J no mximo rendimento
Ve
n J
1/12/2009
0.80
0.1130
0.90
0.1811
1.00
0.2760
1
1.1
1.2
0.721165 0.75328 0.783653
0.168591 0.204076 0.241184
0.284668 0.361507 0.449354
0.679753 0.676785 0.669428
J = 0.735185
D = 0.458632
Rev. (Ver.)
0
Folha (Sheet)
3/ 1.
ha Desembarque 56m
0
0.025
0.05
0.075
0.1
0.125
0.15
0.175
0.2
0.225
0.25
0.275
0.3
0.325
0.35
0.375
0.4
0.425
0.45
0.475
0.5
0.525
0.55
0.575
0.6
0.625
0.65
0.675
0.7
0.725
0.75
0.775
0.8
0.825
0.85
0.875
0.9
0.925
0.95
0.975
1
1.025
1.05
1.075
1.1
1.125
1.15
1.175
1.2
1.225
1.25
1.275
1.3
1.325
1.35
1.375
1.4
1.425
1.45
1.475
0.7
0.6
0.5
dados
P/D=0.6
0.4
P/D = 0.7
P/D = 0.8
P/D = 0.9
0.3
P/D = 1.0
0.2
0.1
P/D = 1.2
P/D = 1.3
P/D = 1.4
Poly. (dados)
P/D :
J
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
0.5
Kt
0.2044
0.1795
0.1499
0.1156
0.0765
0.0327
10Kq
0.1826
0.1642
0.1423
0.1168
0.0879
0.0553
0.6
o
0.0000
0.1740
0.3353
0.4726
0.5541
0.4706
Kt
0.2517
0.2254
0.1949
0.1603
0.1215
0.0786
0.0315
10Kq
0.2455
0.2247
0.2001
0.1718
0.1369
0.1036
0.0639
0.7
o
0.0000
0.1597
0.3100
0.4455
0.5650
0.6037
0.4707
Kt
0.2974
0.2702
0.2393
0.2047
0.1665
0.1246
0.0790
0.0297
10Kq
0.3187
0.2956
0.2684
0.2373
0.2021
0.1629
0.1197
0.0725
0.8
o
0.0000
0.1455
0.2838
0.4119
0.5245
0.6087
0.6302
0.4564
Kt
0.3415
0.3114
0.2831
0.2489
0.2115
0.1707
0.1266
0.0792
0.0284
10Kq
0.4021
0.3767
0.3471
0.3133
0.2753
0.2331
0.1867
0.1361
0.0813
0.9
o
0.0000
0.1316
0.2596
0.3793
0.4891
0.5827
0.6475
0.6483
0.4448
Kt
0.3840
0.3567
0.3263
0.2929
0.2564
0.2169
0.1743
0.1287
0.0800
0.0283
10Kq
0.4956
0.4681
0.4362
0.3999
0.3593
0.3143
0.2649
0.2112
0.1530
0.0906
1.0
o
0.0000
0.1213
0.2381
0.3497
0.4543
0.5492
0.6283
0.6789
0.6657
0.4474
Kt
0.4250
0.3984
0.3689
0.3365
0.3013
0.2631
0.2221
0.1782
0.1314
0.0818
0.0292
10Kq
0.5994
0.5698
0.5357
0.4971
0.4540
0.4064
0.3543
0.2976
0.2365
0.1708
0.1007
1.1
o
0.0000
0.1113
0.2192
0.3232
0.4225
0.5152
0.5986
0.6671
0.7074
0.6860
0.4615
Kt
0.4644
0.4391
0.4109
0.3799
0.3461
0.3095
0.2701
0.2278
0.1827
0.1348
0.0841
0.0305
10Kq
0.7133
0.6818
0.6456
0.6048
0.5594
0.5094
0.4548
0.3955
0.3317
0.2632
0.1900
0.1123
1.2
o
0.0000
0.1025
0.2026
0.2999
0.3939
0.4835
0.5671
0.6417
0.7013
0.7336
0.7045
0.4755
Kt
0.5022
0.4787
0.4523
0.4231
0.3910
0.3560
0.3181
0.2774
0.2338
0.1874
0.1381
0.0859
0.0308
10Kq
0.8374
0.8040
0.7659
0.7231
0.6757
0.6234
0.5665
0.5049
0.4385
0.3675
0.2917
0.2113
0.1261
1.3
o
0.0000
0.0948
0.1880
0.2794
0.3684
0.4544
0.5362
0.6121
0.6789
0.7304
0.7535
0.7117
0.4665
Kt
0.5384
0.5173
0.4931
0.4659
0.4358
0.4026
0.3663
0.3271
0.2848
0.2396
0.1913
0.1400
0.0857
0.0284
10Kq
0.9717
0.9366
0.8967
0.8520
0.8026
0.7484
0.6894
0.6257
0.5571
0.4839
0.4058
0.3229
0.2353
0.1429
1.4
o
0.0000
0.0879
0.1750
0.2611
0.3457
0.4281
0.5074
0.5824
0.6509
0.7092
0.7503
0.7591
0.6956
0.4112
Kt
0.5730
0.5548
0.5333
0.5086
0.4805
0.4492
0.4146
0.3768
0.3357
0.2913
0.2437
0.1928
0.1386
0.0812
0.0205
10Kq
1.1161
1.0794
1.0378
0.9915
0.9403
0.8843
0.8235
0.7579
0.6875
0.6122
0.5322
0.4474
0.3577
0.2632
0.1640
o
0.0000
0.0818
0.1636
0.2449
0.3253
0.4042
0.4808
0.5539
0.6217
0.6816
0.7288
0.7544
0.7400
0.6383
0.2785
1. Dados do exercicio
KQ
J5
J
KQ
9.56
0.2
0.0306
0.3
0.2324
0.4
0.9794
0.5
2.9887
0.6
7.4370
0.7
16.0742
3.5000
y = -264.42x2 + 175.03x - 27.584
3.0000
2.5000
y = 45.19x2 - 22.012x + 2.6612
2.0000
1.5000
1.0000
0.5000
0.0000
0
0.2
0.4
0.6
0.8
1.2
-0.5000
-0.176
-0.180
-0.200
-0.210
-0.218
-0.225
-0.231
-0.235
-0.238
-0.240
-0.166
-0.195
-0.211
-0.233
-0.253
-0.273
-0.292
-0.310
-0.327
-0.343
0.182
0.245
0.318
0.402
0.495
0.599
0.713
0.837
0.971
1.116
45.19
-22.01
2.661
a
-45.366
-45.370
-45.390
-45.400
-45.408
-45.415
-45.421
b
21.844
21.815
21.799
21.777
21.757
21.737
21.718
c
-2.479
-2.416
-2.343
-2.259
-2.166
-2.062
-1.948
1.4
P/D
J
Kt
10Kq
no
0.6
0.2984
0.1609
0.1168
0.6540
0.7
0.3078
0.2017
0.0569
1.7355
0.8
0.3179
0.2422
0.0798
1.5363
equao do rendimentos
no = -264.4x2 + 175.0x - 27.58
d/dx (no)= 0
x=
0.33
-45.425
-45.428
-45.430
21.700
21.683
21.667
-1.824
-1.690
-1.545
0.9
0.3279
0.2827
0.1068
1.3819
1
0.3380
0.3231
0.1384
1.2559
1.1
0.3483
0.3636
0.1755
1.1483
1.2
0.3585
0.4043
0.2181
1.0578
0.8
31.3393
0.9
56.4744
1
95.6400
equao
P/D = 0.6
P/D = 0.7
P/D = 0.8
P/D = 0.9
P/D = 1.0
P/D = 1.1
P/D = 1.2
P/D = 1.3
P/D = 1.4
rendimento
Poly. (equao)
1.6
Poly. (rendimento)
Ji =
0.2984
0.3078
0.3179
0.3279
0.3380
0.3483
0.3585
Kq,i =
0.1168
0.0569
0.0798
0.1068
0.1384
0.1755
0.2181
0.3688
0.3792
1.3
0.3688
0.4452
0.2665
0.9804
1.4
0.3792
0.4863
0.3212
0.9139
0.2665
0.3212