MEDDELANDEN
FRANSTATENS
SKEPPSPROVNINGSANSTALT
(PUBLICATIONS OF THE SWEDISH STATE SHIPBUILDING EXPERIMENTAL TANK)
Nr 8 GOTEBORG
1948
FURTHER
EXPERIMENTS WITH
BULBOUS
BOWS
BYANDERS LINDBLAD
GUMPERTS AB GOTEBORG
GOTEBORG 1948
Synopsis.
This paper gives an account of some experiments which have been carriedout with
a group of models fitted with bulbous bows of moderate sizes. The models have
dimensions and fullness corresponding to a modern passenger ship or a high speed cargo liner.
The models of one of the series have been fitted with bulbous bows of the usual construction with a vertical stem, and on the other series the lower part of the bulb has been extended forward of the perpendicular to form a »ram bow».
Introduction
A considerable number of passenger ships and high speed cargo liners now run at high speeds at which it seems possible that a large reduction bf the resistance might be obtained by the adoption of a bulbous bow. It is well known that for several ship projects some model experiments have recently been conducted with various types of bulb cohstructions. Previous investigations, notably those made by TAYLOR, have shown that the best results have been obtained with very large bulb areas, but for various reasons there are strong objections to the use of such large bulb areas on merchant ships. In a few cases, however, bulbous bows with fairly 'large areas have
been adopted also on merchant ships. In the present paper an
account is given of some series of model experiments in which the models have been fitted with bulbs having an area between 5 and 10 per cent of the .midship area. It is believed that such moderate bulb areas might now be accepted by owners and builders of modern ships.
The present investigation is a continuation of the research described
inthepaper»Experiments With Bulbous Bows»,which
appears as No. 3in The Publications of The Swedish
4 MEDDELANDE FRAN STATENS SKEPPSPROVNINGSANSTALT NB 8
Description of the Models
The dimensions and the fullness which have been chosen for the modeLs correspond to ships with a speed of about 18 to 20 knots; that is at speed length ratios between 0.9 and 1.0. Our experiments, however, have been carried out even to somewhat higher speeds.
The particulars of the models, as given for a 400 foot ship, are as
follows:
Length B. P 400 ft.
=
121.92 mLength L. W. L.
412 ft. 54 in. =
125.41 mBreadth 56 ft. -= 17.069 m
Draught at L. W L 21 ft. 61/9 in. = 6.565 m
Draught, light 18 ft. 8 in.
=
5.689 mBlock coefficient at L. W. L. ... .. . 6 --- 0.60
Midship section coefficient /3 = 0.974
Radius of bilge 6 ft. 6 in. =- 1.980 m
Rise of floors 6 in.
=
0.152 mBODY .PLAN _ or MODELS (7).Z AWL.,
/11111
TIO.N
.111171117
11110/MM/11111
11
1110.11111INNIII
ei-w'six1111WAST
211%-WlkibiftibillPF110
-A1118 Fig. 1. 1. ILa 463o LILA. LINDBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS 5
BODY PLAN or flODEL5 (3)60)
5% BULB 47RE/9 I /6 Fig. 1A. Table I. Porfiadors of M0C/9/5 /0 .6
111171111111
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IFIN
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/Yo. of mode/ Profile of 6o/6ous bow0
projected0
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venire-a/ q) projecfes, ® ver-rie-a/ Beam/o'roaghl BA:" Bulb area in %of es 5o 2.6 10 26 So Z6 lo es Jo es Jormethr;osecf/0/7Toryeril.ilope roo054 /is rao /IS Zs 8 e 73 ae se -re 10 Se 042 054 042 0.2/ 042 OS/ 0.42 047 043 047 0.43
0/31:7/0Ce/776./71 /0n3 83r/ 6949 8e98 6936 MO 6900 885/ 6898 82/4
6856 6209 685/
Block coefikierdcf 0.603 Osez 06o2 Ow aree Os 2e 0.5se 0527 0556 0574 0595 0.573
/7/6/617.,0sechi2,71 coe/h2497/ A' 0.974 0370 0974 0.970 0974 0970 0374 0970 0974 0970 0974 0820 Przsmohi- coehii-ien1 P0-? 6ody Al 0.605 0596 060.9 0394 0517 0586 0,95 0584 059/ 0.580 0589 0.5.V7 body . After sf, 0633 0604 0633 0604 0633 0604 0633 0.604 0633 0604 0433 0604 ?bid/
r
14/0/8/"Z/;72COeflf VC 06.9 0.0 ove 05,9 0,,s 05,6 08,4 0.595 06/207/7 0695 07/7 0695 07/6 0693 07/6 0693 07/4 0692 07/4 06920592 0.6// 059/Hoff eingve of efilizrace 1./efrea'svdoce
72. 89. 7z° 88°
Si 6e
57° 6.e 4z° 4z° 4z° 4 2*sy,./1
L.C.B. of/of 4.3./e 28696 26266 28795 26/89 2874/ 261/5 28666 26040 26623 65397 2853e 25932
MEDDELANDE FRAN STATENS SERPPSPROVNINGSANSTALT NR 8
Profiles_oi Sierns ond
ra /4 !ftI.24 CivL.
I
lij464,3o 411.8 wt.6 L/C 4 node/.0 rloo'eip111=11-11111111rrg
e 5 ._-20 Fig. 2.Full particulars of the models are given in Table I.
A cruiser stern of moderate size has been used Its length is 2.65 per cent of the length between perpendiculars and its depth is 0.25
of the draught. The after body and the cruiser stern have been
constructed to snit a twin screw arrangement.
Figs. 1 and 1 A give the bcidy plans, and Fig. 2 shows the profiles
of the stern and stem. The sectional area curves for the variouS
models are shown in Fig. 3, and the corresponding offsets are given in Table II The load water lines are shown in Fig. 4.
The after body has been keptunchanged in all the models. It has a prismatic coefficient of 0.633. As Fig. 4 shows, the load water line has been Made rather full at the stern. This has been done in order to providC sufficient stability:
The models were fitted with streamlined rudders but had no other appendages.
The resistance tests Were carried out at two draughts. The load draught of 21 ft. 61/2 in gives a beam draught ratio of 2.6, and the light draught of 18 ft. 8 in. gives a beam draught ratio of 3.0.
A. LENTUBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS
foi
al
awat®
RI
ir lir
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NIM=1"
60 -50 - .50 - 20Load Wafer Lines.
-,100 6 /6, /7 /8 .eRZO OD Mode/ No.
laolerhrle c-oefl a B,(y.2 6
6'- 3° Op& 0 0.7/7 0695 a& 0.7/6 0693 ® & ;
.
0.7/4 0.692 90 Sid 26 -80 OAR. /0 I2 Fig. 4.A. LINDBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS 9 Construction of the bulb.
Although larger bulb areas would undoubtedly be advantageous, it was decided to use a maximum bulb area of 10 %. Fig. 1 shows
this bulb. On later models the bulb was reduced; to 7.5 per cent
on model 3 and to 5 per cent on model 5. Fig. 1 A gives the body plan of the fore body with the 5 (:)/0 bulb area. The sectional area curve forward was gradually sharpened to suit the smaller bulb areas, and the displacement was slightly reduced as Table I shows. The experiments of TAYLOR and of BRAGG have shown that a tangent value t = 0.65 would be suitable, and this t-value was used in both series. It is known from WIGLEY 's work that in several cases fairly large reductions of the resistance have been obtained by projecting the lower part of the bulb to form a »ram bow*. There are, of course, some practical difficulties connected with the use of large protruding rams, but it seems possible that shipbuilders might be willing to approve of a small ram. We have therefore also tested one series
of models - Series B - constructed with a ram bow of moderate size. In this series the forward ends of the water lines are rounded
off with half circles to form part of a rotational body. The stem
profile will thus have an outline of the same form as the half of the 'frame section at the forward perpendicular. Fig. 16 shows the streamlines around model 1 (10 % bulb with ram bow) at Bld = 2.6 and a speed length ratio of 0.95
Figs. 14, 15, and 17 show some photographs taken during and after the streamline test.
Table II.
Offse/s for .Sec/,ono/ /Freer Curves Fore body Sec/ion /0 // /2 /3 /4 /5 /6 /7 /9 . /9 /916 20 1 & ® 46/ 26 3o /00 /00 995 394 96.5 957 8.97 88.6 78.4 ' 76.8 63.o 6/3 469 4376 332 32s 22.e 22.9 /5.3 /6./ 125 /3.3 /0.0 //.s
0
a® 2.6 3o /00 100 995 99.4 96.5 95.7 897 886 784 768 63o 613 46.9 456 324 31.e 20.9 210 /2.7 /3.5 .96 /01 75 8.6 C) & C) 26 3o /00 /00 99.5 99.4 96.5 957 897 886 784 76e 63o 613 46.9 456 -3/6 31./ /93 /9.3 /03 /0.9 72 8.0 So 58 A Herbody 5edio 17 0 ffr I 2 .3 7 ô 9 /0 A 7 // Plocleis a/d 2.6. 3.0 46 2.7 .94 6.4 /4-4 /05 273 226 4/.9 36.9 56.4 52.0 699 66.6 81/ 78e 895 88.5 95e 952 98.6 98.5 _ . /00 /0010 MEDDELANDE FRIN STATENS SKEPFSPROVNFNGSANSTALT NR .8 28 7 . grrfkiertce lefrrfica/ Sierns
OM
of 6u/borro Eyd=Z81111.,111111E
trai
cm,
MS=
111111
FA
neM
wr...sw
EM
SIM7
lilt
PM
0.70 40 00 Fig. 5.Series A with Straight Stem
The particulars of the three models in this series are given in
Table I.
Fig. 3 gives the sectional area curves. The water lines are shown
in Fig. 4. They are as mentioned above rounded off with
half circles and terminate on a vertical line through the forward
perpendicular.
The results of the resistance tests are presented as C) curves in Figs. 5 and 6. They are also given in Table III as C) values for a 400 foot ship, and the speeds when given in knots always refer to this length of ship.
The results o/ the tests at the beam draught ratio of 2.6 (Draught of 21 ft. 61/2 in.)
At low speeds up to 16 knots model 6 with 5 % bulb area gives
the smallest resistance. This is only slightly smaller than that of model 4 which has a bulb of 7.5 %. From 16 to 18.6 knots this
latter model is superior. At higher speeds again model 2, with 10 % bulb area, shows the best results.
It i
about 3 per cent better than model 4.A. LINDBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS 11 Vet-lira/ Stems
Jrilkence of 6u/6oreo
070
Fig. 6.
At all low speeds the large bulb of model*, with 10 % area, causes a very large resistance. At 15 knots speed it gives 10 per cent and at 16 knots 5.5 per cent larger resistance than model 4 which has 7.5 % bulb area. These results are in line with previous
investiga-tions which have shown that large bulbs are generally very un-economical at low speeds.
The results of the tests at the beam draught ratio of 3.0 (Draught of 18 ft. 8 in.)
The results are shown in Fig. 6. Only two of the models 4 and 6, were tested at the smaller draught. It is to be noticed, that at this
draught the bulb area is a larger percentage of the midship section. Model 4 has a bulb area which is now 8.6 % of the midship area, and
model 6 has an area of 5.8 %.
TAYLOR'S experiments have shown that, in general, the larger bulb areas are most effective at the larger beam draught ratios. This is also the case in the present series.
Even at this draught the smaller bulb at low speeds givesa better result than the larger bulb. Thus model 6 with a 5.8 % bulb is the best up to a speed of 16.4 knots. But from this speed on model 4, with an 8.6 % bulb, gives the smaller resistance.
At the lower speeds the difference is rather small, but at 18 knots there is a gain of 4.3 per cent in favor of the 8.6 % bulb area, and this gain is increased to 4.8 per cent at the speed of 20 knots.
12 MEDDELANDE FRAN STATEN§ SKEPPSPROVNINGSANSTALT NR 8 Fig. S. rroruairy au/ as
.
--'. _le _ . Influence of bu/borea . 11E10
Marro
WM=
_,
-® 7. ,MAIM
_ _triza
_ Allillosii
19 _. _ill!
e., -aeo 090 00 Fig. 7. /Orefuclitigi Bulbs -.7nfluence of .6.:ThOrea 43/c/=-1°A. LINDBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS 13
Series B with Ram Bow
As has previously been mentioned, the models of this series have all been fitted with a small ram. The profiles of the rams are shown in Fig. 2. It is to be noticed that the rams project forward of the
perpendicular in proportion to the area of the bulb, and that the
profile has exactly the same shape as the frame section of the bulb. The three models in this series have the same bulb areas as in series A, namely 5 %, 7.5 % and 10 % respectively. The sectional area curves are shown in Fig. 3 and the load water lines in Fig. 4. The results from the tests with series B are given in Figs. 7 and 8. A comparison between the results of series A and B can be made from Figs. 9 and 10. In Figs. 11, 12 and 13 the results of the effect of the ram bow have been given for each size of the bulb. Table III gives C) values for all the tests.
The results of the tests at the beam draught ratio of 2.6.
Fig. 7 plainly shows the same tendencies as have previously been noted in series A; namely that large bull; areas are unfavorable at low speeds but advantageous at high speeds.
Up to a speed of about 18 knots there is not much difference
between the 7.5 % bulb and the 5 % bulb, but above this speed the 7.5 % bulb is evidently superior. At 19 knots the gain is 2 per cent and at 20 knots it is 4.2 per cent.
The superiority of the 10 % bulb of model 1 stands out very
clearly. At 19 knots it is 7.2 per cent better than the 5 % bul(
and at 20 knots 8.2 per cent better.The results of the tests at the beam draught ratio of 3.0. The results from these tests are given in Fig. 8.
As in series A it should be kept in mind that at this draught the bulb areas in proportion to the midship area have been increased from 5 % to 5.8 %, from 7.5 % to 8.6 % and from 10 % to 11.5 %.
Fig. 8 shows that even at this beam draught ratio large bulbareas cause large resistance at low speeds and low resistance at high speeds. The C) curve of model 1 shows a remarkable low resistance for all speeds above 17.5 knots for the 11.5 % bulb.
14 MEDDELANDE FRAN STATENS SKEPPSPROVNINGSANSTALT NR S
Comparison of tIoefels ale 236r.Z6
Fig. 10.
.
ruara"
' rves,,,,
.--ffins
gam
won15,...
Immo=:
t A
,
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Oao - 090 00 Fig. 9.A. LINDBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS 15
Table III. .
Os-values 6r a
406' ..517/;oB/d.
e6
node/ bab area.,
17i/r1;,.No.
Z1, .70 .75 .00 .85 .90 .95/00 /05 /10
/
/0.0 .688 .698 .680 .677 .723 .800 .878 .9/9 .953 8 /0.0 .699 .7o4 £58 .684 .730 .823 .898 .937 .977 3 75 .658 .668 .662 .673. .738 .840 .9// 946 .9864
75 447 .658 .650 .667 .710 .636 .925 .96/ /00o5
So .652 .659 £57 .666 .74o .858 .950 .992 /052 6 50 452 .649 .654 .674 .75-0 .908 .98/ /022 /057B/d =Jo
/
1/5 .708 .709 .6931.6841.6941. 782 .737 .008 .875 2 MgNo/ ./e.s,ed
3 8.6 .659 .66/ .663 .670 .707 .773 .5/0 .842 .8874
8.6 .678 .652 .662 .647 .694 .77o .827 .86/ .9035
se 658 .655 .658 .6.55 .7/4 .803 .852 .892 .348 G 58 .668 .662 457 .662 .72/ .804 .867 .910 .95216 MEDDELANDE FRAN STATENS SKEPPSPROVNINGSANSTALT NR 8 9 8 7 6 0 i
.inguenoe of RO1'77 BOW
46.2,..6,-Nr'.. wrier,/ ...., ..'' . . . 5.0Z 6a6tirro0/51.44e.6 % .." 5 a Z ---, -- -4V-3 o ... ../6.!&_icol_\ ...% = -.- -. -4.---7 --"----e..3 o -
-III
-1111111111.1 - -oeo 090 /00 I,o174-Fig. 11.Comparison between Bulbs with Vertical Stem and
with Ram Bow
Fig. 11 shows the results for the 5 % and 5.8 % bulb. At the B/d of 2.6 there is a rather large reduction of the resistance due
to the ram bow. At 19 knots the reduction amounts to 5.5 per cent
and at 20 knots to 3.2 per cent. At the Bid of 3.0 the advantage of the ram is not so apparent. It only amounts to 1.8 per cent at
the speed of 20 knots.
Fig. 12 gives the C) curves for the 7.5 % and the 8.6 % bulb. At both the B/d ratios the ram bow causes a considerably larger resistance than the vertical stem at all speeds below 19 knots, but at higher speeds there is some gain due to the ram. At the Bid of 2.6 there is a reduction in resistance of 1.5 per cent at 20 knots and of 1.6 per cent at 21 knots, and at the B/d of 3.0 the reduction is 2.1 per cent at 20 and 21 knots.
Fig. 13 shows the resistance for the 10 % and 11.5 % bulb. At all speeds above 19 knots there is at the Bid of 2.6 some reduction
of the resistance. It amounts to 2.8 per cent at 19 knots and 2.2 per cent at 20 knots. At the Bid of 3.0 we can make no direct
A. LINDBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS 17
eo
Influence of Rom Bow
100 v 1,1 f{(.111/ L.JUM/ 7$X baboreaof 4 2.66/ I.47
CAM
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0 E-IIrAl. I I. sAi . 7. 14_. -Knoei; 6, 80 a90 oo Fig. 13.1 8 MEDDELANDE FRAN STATENS SKEPPSPROVNINGSAN8TALT NR 8 1 Fig. 14. /4
2S/9,
'NM* Fig. 15.A. LINDBLAD, FURTHER EXPERIMENTS WITH BULBOUS BOWS 19
Lines of f/ota for Mode/
of
4a-0os/6 Fig. 16. Fig. 17. EMN=II 4,
LIMIL11111111° IIIIIM11111
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20 MEDDELANDE FRAN STATENS SKEPPSPROVNINGSANSTALT NR 8 not tested at the draught of 18 ft. 8 in. We may note, however,
that model 1, with a ram bow, gives a remarkably low resistance. This is particularly apparent from a comparison of the C) curves in Fig. 10.
Summary of the results
1'
experiments confirm the conclusions of previous investiga tions that by adopting large bulb areas very large reductions in thefl resistance can be obtained. Even bulbs of moderate sizes, 5 % to 7.5 % undoubtedly give considerable savings at higher speeds andmay permit a ship to be driven at speeds which are very high
compared with the fullness adopted.
2. The adoption of a ram construction of the bulbous bow gives, particularly at the B/d of 2.6, a fairly good further reduction of the resistance.
Acknowledgement
The research described in this paper was made possible by a grant
from Martina Lundgren's Foundation f or
Mari-time Researc h. The experiments have been carried out at
The Swedish State Shipbuilding Experimental
T an k, and I wish to express my thanks to its Director, Professor
H. F. NORDSTROM and the staff at the Tank. I also wish to extend