ARCHIEF
A
If
4
0'!NG
ja.Experimento I Towing Tank
Stevens institute of Technology
Hoboken, New Jersey
I.b. y. Schpbvk&e
Techrche
scd
LAtt
RESISTANCE AND TR]1
OF
HEAVY DPCT STANDARD SERIT
SHIPS(Stevens Models Nos. S78S83)
for
BUREAU OF SHIPS, NAVY DART(ENT
by
Allan B. Murray
and
Jean A. Barkile
Report No. 279
January, 19LLS
RESISTANCE AID TRIM
OF
IAVY DISFLCENT STMDARD
SERIES SHI
(Stevens Models NOSG 578-583)
for
BUREAU OF SHIPS, NAVY DEPARTMENT
Report N0 279
by
Allan B. Murray
and
Jean A. Barklje
January, 1945
Experimental Tcwing Tank
Stevens Institute of Technology
Hoboloen, New Jersey
C OEflTS
Introduotion .
.
ai
Models
.
2Particulars
,
Testing . . . . 2.
3 Results 3 1se of Results 3Discussion
4 References . . . 5 Offsets . . I I.
6 Curves of Areas . 7Model Test Data
.
.
o 9Curves of Trim . . 15
This report presents the results of resistance tests of six Standard Series models having higher dIsplacement-length ratios in combination with higher speed-length ratios, than are reported in "The Speed and Power of
Ships", Reference 1. The investigation was suggested by the Office of
Chief of Transportation, Army Service Forces, who found themselves under the
necessity of imking prelirninary estirrtes of effective horsepower for hulls
having displacement-length ratios up to 400, and speed-length ratlos up to
1.5.
The contour charts of residual resistance for the Standard Series, In Refernce 1, reach a ximum displacement-length ratio of 250, with a
speed-length ratio of 1.25. Higher speed-length ratios are reached, but in com-bination with progressively lower displacement-length ratlos. Additional
tests were therefore needed.
It was considered impracticable, under present
conditions,
to test a suf-ficient number of models to permit a complete extension of the contour charts of Reference i to cover a maximum displacement-length ratio of 400, and amaz-imic speed-length ratio of 1.5. It was decided, therefore, to use the form
of plotting
represented by Figure 30 of Reference 2, and telimit
the programto include only enough models to permit ecending these charts within the pc.r-tioular region of interest to the OCT. It was decided, specifically, that the
Only one value of beam-draft ratio was Included, since changes of beam-draft ratio prcduce, in general, only moderate effects on residual resistance, Of
the two values of' beam-draft used in the origina.1 Standard Series work (2.25
and 3.75), 2.25 is probably nearer to the requirements of the practical designs
contemplated.
The lines for t}e models were developed from the parent lines in Reference 1, Resistances and running trims were measured over the range of speed-length tio from 0.6 to 1.5.
The investigation was started under the sponsorship of the National Defense
Research Comriittee, arid has been completed under the sponsorship of the Bureau of Ships, Navy Department.
R 279
-1-INTRODUCT ION
following
8ix
models would be sufficientiBeam-Draft Ratio
Displacement-Length
Ratio Prismatic Coefficient2.25
2.25
300
300
0.50
O CO2.25
300
o 70
2.25
400
0.50
2.25
400
o 60 2,25 400 O 70IIODELS
The model linès were laid out in accordance with the latest
interpreta-tion of the parent lines for Taylor' s 5tandard Series of Ships. The orf sets
given on page 163 of Reference i were used, but
were djutd in order to
bring the maximum section at the nd-length in accordance with the statement
on page
ici.
Adjustments to the offsets in order to vary the prismatic coef-f icient were made by the method described on page55
of the reference.Offsets for the case with prismatic coefficient of 0.60 are given in the
tabulation on
page 6.
Curves of areas f cr the six models are given on pages 7 and 6.PM?TICLP RS
* Wetted Prea calculated without oblic?uity correction.
R 279
-2-Model 1To. 576 579 580 581 582
583
Beam Draft Ratio 2.25
Dispi. Length Ratio 300 1400 310 1400 300 1400
Prismatic Coefficient 0.50 0.50 0.60
o.6o
0.70 0.70 ;:idsection Coefficient
0.923
Length, In. 148 1414 146 148 1414 Beam, In. 10.660 11.1495 9.9114 1O.19149.179
9715
Draft, In. 14.127 5.109 14.1406 L.6614 140080 Weight, f.w.,Lbs. 141.80 14.92 141.60 142.92 141.80 Wetted !rea, Sq. ft.* 14.16 14.07 14.17 14.03 14.17 14.02The introduction states that this investigation is to provide "a method for estin.ting probable requirements of effective horsepower." The charts, pages 17 to 19, giving total resistance per ton versus speed-length ratio for 400-foot ships, provide the means for ships having displacement-length ratios
of 300 and 400 and prismatic coefficients of 0.50, 0.60, and 0.70. These results may be readily converted to effective horsepower versus speed.
A the ship length decreases, the friction resistance coefficient increases, with the consequent increase in the total resistance er ton. If a close
esti-mate of a shorter ship is required, the increase in resistance per ton over the 400-foot ship can be readily determined from the Froude constants. The
follow-ing
are typical figures for displacement-length ratio of 300, prismaticcoef-ficient of 0Q60 and length of 100 feet:
R 279
TESTING
The method usually employed at the Experimental Towing Tank for testing
this type of model was used. This involved towing, from the carriage, a 1/8"
strut 4 inches ahead of the model to induce turbulence. As the strut was not
cor.nected to the model no adjustment for the resistance of the strut was
nec-essa ry.
RESULTS
Tabulations giving measured model resistances and running trims are given
on pages 9 to 14. The curves on page 15 show the change in level at the bow
and stern for the six models. Photographs were taken of each model under way
at
V/vT -
1.0, 12 and 1.5. One of these is given on page 16 The whole setis available at the Experimental Tow!ng Tank, Stevens Institute of Technology. In order to be directly comparable with Figure 30 on page 94 of Reference 2, the resistances were expanded to a ship length of 400 feet and are presented as
resistance per ton versus speed-length ratio. The curves, pages l7to 19, shaw
these results, one page for each prismatic coefficient. On the3c charts, broken
line curves for three additional displacement-length ratios, 50, 150, and 250, lifted from the above mentioned figure in Reference 2, have been included.
In expanding the test data of the small Stevens models, to full size, care
was exercised to ensure that the results from the tests would be comparable to the curves in Reference 2 obtained from tests of 20 foot models. The Schoenherr
friction formula was used to determine the model friction resistance, This
for-mula conform8 closely with the 20-foot friction plank resistances used with the
20-foot model data (Reference 3).
For full size friction resistance, the same method used for the curves in
Reference 2 was emp1oyd, that is, R. E. Froude's constants for salt water with
the formula Rf - f S V'25.
Additional
The increase decreases rapidly for lengths over 100 feet.
Interpolation is necessary for intermediate values of displacement-length
ratio and prismatic coefficient.
DISCUSSION
In working up the lines for the models, some minor discrepancies were found in the numerical values given in the Table of Offsets on page 184 of
Reference 1. The necessary information to remove those discrepancies was obtained from the files of the Taylor Model Basin. The table of offsets on
page 6 gives the values actually used for the two models having prismatic
coefficient of 0.60.
All of the resistance charts show little difference between the reais-.
tnces per ton for the two displacement-length ratios. Interpolations for
displacements other than tho8e considered should therefore be quite reliable. The curves show that changes in prismatic coefficient have an important
effect on resistance. Further, the effect is not consistent; it varies in magnitude and direction with speed. Therefore, some judgment is necessary to obtain values for prismatic coefficIents other than those given.
R 279
-4-S pee d- Length
Rat io
Resistance per ton
over 400 Ft. Ship Percent Increase .6
32
10% .8 1.0 .80 8% 1.2 1.10 5% 1.4 1.50 2%.
REFERENCES
Taylor, D. W.: "The Speed and Power of Ships,"
Washington, 1943.
Davidson, K. S. M.:
"Resistance
andPowering,"
Chapter II of Volume II, Principles of Naval Architecture," New York, 1939.
3,
"Covering Comparisons with
Taylor's StandardSeries," Technical Memorandum No. 33 of the Experimental Towing Tank, Stevens Institute of
Technology. October, 1941,
R 279
-o-'1'SETS POR STANDARD SERIES WJDEL ?0R PPISMkTIC
- Water Lines (In Fractions of 1/2 Ìaximum Jeamat
; :.L.
.4
.5
.6
.7
.8
,.9
L!L
1.
_, ,.051
O50.047
.042
.036
.033
.030
.06e
.067
.069
.007
.066
.062.
.063
.103
.110
.116
.121
.126
.127
430
20b
.226
.2DO.257
.270
.283
.293
.3:4
.3&
.393
.415
.437
.452
.469
.483
.f29
.560
586
.605
.21
G.5
.642
.688
.717
.7.7
.755
.766
.772
.771
.810
aL)4
.849
.359
.865
.869
.864
.895
.911
.921
.927
.930
90
.926
.946
.958
.963
.969
.970
.970
.955
.970
.979
.984
.990
o99O e?90.960
.976
.984
.991
.995
.999
1.000
.955
.975
.983
.991
.99e
.999
.995
.929
.954
.970
.976
.982
.986
.986
.869
.906
.929
.942
.951
.953
,960
.7G9.819
.854
.8/8
.892
.902
.O9
.34
.701
.745
.178
80.
.820
.834
.463
.544
.603
.649
.682
.713
.737
.28].
.3b0
4ò1
.494
.5ò9
.581
.615
.119
.174
.243
.306
o67
.422
.464
.060
.093
.153
.210
.273
33
.378
.028
.040
.067
.114
.173
.20
.278
.05
.067
.110
.162
.
ao..1 7
.3 8
.
.7
j
i .C)j
.9
.9
09.5
.55 r,Spaon
of water lines and heights of buttooks
a1re in fractions of i .draft.
Spíicing of buttooks are in fraotion
of 1/2
xnun beaa at L..L.
Water lino ordinates are iii fractions of 1/2
ma*imum bezn at I.pVI.
.
f
d)í.7 )C)r L.UiLU
Buttoc1s
(Spaoin
of 13uttckø
3.n Fraotionß ç,f 1/2
xixnumBeam at L.W.L)
1.420
i1,
.L.u.b
i ç') . .Lt.).273
I
410
.546
.0 i
.043
090
t-'7t\ (\Û':'.157
.193
.295
.350
.397
.482
.534
.571
.619
.080
p258.667
.688
.706
.729
.043
.k2
.279
.579
.800
.806
.819
.022
.075
.143
.267
.875
p877.383
.012
.04e
.085
.152
.930-.930
90
.008
.022
.045
.034
.970
.970
.970
0c4
.012
023
.046
a990
.990
' ,990
.00
.009
.017
.029
1.000
1.000
1.000
.00v
.009
.017
.08
.997
.998
.999
.002
.010
.018
.034
.986
.988
.38
.003
.013
.028
..053
.962
.965
.970
.009
.028
.05e
.100
.927
.934
.943
.019
.106
.177
.374
.889
.)0b
.043
.108
.193
.298
.802
.825
.348
.093
.211
.340
.500
.710
.737
.761
.217
.388
.570
.313
.573
.603
.426
.648
.486
.513
.537
.575
.792
.384
.405
.424
Off8ets
Stcttiori
.05
.1
..)1/2
.034
O:0
.047
.050
i
.036
.045
.057
0&
2.043
.057
.078
.095
4.069
.09c3.146
.173
6.106
.155
.238
.290
8.156
.234
.340
.430
io
223
p330.479
.578
3.2.317
.448
.C1G.709
14.437
582
.737
.818
6.575
709
399.889
,. t'77';o
.1.0.Uf')
.lOi
OU20
.687
.792
.894
.939
22.632
.757
.872
.927
24
.530
.667
.812
.837
2G ..395
.540
./13
.812
28.261
.397
.577
.95
30
.154
.259
.420
.546
32.084
.146
.260
.369
34.04e
.065
.127
.202
$6
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57
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P.Ij
ODEL TEST DATA
Model No. 578
Length - 4.00 Feet
Displacernent-Leng-th Ratio - 300
Displacement
41.80 Lbs, Fresh Water
Prisiiatic Coefficient
0.50
Test Temperature
730
F. Tank i
Test i, June 30, 1)4
R 279
-9-ooi ioci, iubcd Varnish Fini3h
Model Speed
Model Resistance
Feet/Sec.
Pounds
Trim Change in Inches
Bow
Stern
1.601
.0543
-.10
0
1.356
.0772
-.10
02.129
.1030
-.15
-.02
2.394
.1295
-.20
-.05
2.658
.1682
.1687 -.25 -.05.1905
2.792
.1934
-.30
-.05
.2085
2.924
.2052
-.35
-.05
3.050
.2243
-.40
-.07.2338
.188.2352
-045
-.07 .2578 .D,321.2588
-.50
-40
-.
.2943
.2948
-.55
-.10
3.586.3625
-,60
-.15
3.719 .4416 -,55 -.20 3.850 .5708 -.70 -.25 3.984.7825
.7825
-.75
-.30
4.250
1.269
1,269
75-.50
4.14
1.988
1.951
-.65
-.85
4.781 5.050 2.914 4.006 4,003 , -.25 -1.25 -1.35 'urbulence InducedMODEL TEST DATA
Model No. 579
Length 3,667 Feet Displ.-Length Ratio - 400
Displacement 42.92 Lbs. Fresh Water Prismatic Coefficient - 0,50
p 279
10
-Test Temperature - 71° F0 Tank i Test t, Aug. 16, 19LL
Zood Nodel, Rubbed Varnish Finish
Model Speed Model Resistance Trim Change in Inches
Feet/Sec. Pounds Bow Stern
1.601 .0610 -.05 +.05 1,866 .0821 -.10 0 2.129 .1079 -.15 0 2,394 .1399 -.20 0 2,526 .1585 -.25 0 2.658 .1810 -.30 -.05 2,792 .2110 -p35 -.05 2.924 .2310 -.40 -.05 3,056 .2524 .,45 -.05 3.138 .2925 -.55 -.10 3,321 Q3444.3''14 -.55 -010 3.453 .3990 .3943 -.70 -.10 3.586
5253
,75 -.15 3.719 .671C -.80 -.15 3.984 1.2225 1,2243 -.85 -.30 4.250 1.9834 1.9825 -.95 -.50 4.514 3.118 3.115 -.85 -1.00 4.781 4,310 4,280 -.55 -1.45 Turbulcnce inducedTurbulence Induced
MODEL TEST DATA
Model No. 530
Length 4.00 Feet Displacement-Length Ratio 300
R 279
Displacement - 41.80 Lbs. Fresh Water Prismatic Coeffiolent 0.60 Test Temperature 730 F. Tank 1 Test i\, Jug.
l(, i5Lh
wood ioie1, Rubbed Varnish Finish
Model Speed Model Resistance Trim Change in Inches
Feet/Sec. Pounds Bow Stern
.0532 1,601 .0543 -.05 0
0546
.0773 1.366 .0776 -.10 0 2.1291032
-.10 0 .1293 2.394 .1282 -.1.5 -.05 .1582 2.658 .1598 -,20 -.05 .1701 2.792 .1704 .25 -.05 2.924 .1935 -,25 -.05 .2 153 3,056 .2153 -.30 -.05 3.188 .2389 -.30 -.10 .2789 3.321 .2789 -.35 -.10 .3098 .3144 -.35 -.103998
3.719 .4016 -.45 -.15 3.984 .5471 -.60 -.15 4.2508380
-.60 .25 4,514 1,2825 1.2871 -.50 -.55 4.781 1.9771 -.35 5.050 2.9571 +.05 -1.50Lenth
3.667 FeetDis placement 42.92 Lbs.
Test Temperature - 720 F.
MODEL TEST DATA Model No, 581 Disp1acement-Lenth Ratio = 400 Prismatic Coefficient - 3,60 -
r1
Test P, Uct. , Fre8h Vater Tan} J.Fin3h
R 27 12-iood :ode1, iubbed Verni sh
Model Speed Model Resistance
Feet/Sec0 Poirnds
Trim Changes in Inches
Bow Stern 1.601 i 866 i 997 .0554 .0738 .0882
-.05
-010
-.10
0 3 02.129
.1026-.12
02.261
01193 a13 O2.394
.13 73-.17
-,02
2,526
.1510-.20
-03
2 658
.1693 -.25 ,052.924
.2162 -035-.05
3.188
.2629 .2689 45 e103.453
3444
-055 .3435 -.10 3.719 .4480 .4471 -p70 .10 3.9847335
_.
'7f-.31C
.) 10274 4.250 1.277 -.30 -050 1.250 4.514 2.067 2.084-.65
-.80
4781
3.140
3 158
-.45
-1,20
Turb.ilence InducedMODEL TEST DATA
Model NO. 582
Length
4.00 Feet
Displacement-Length Ratio
300
Dieplaoer-zent
41.80 Lbs. Fresh Water
Prinatic Coefficient
0.70
R 279
13
-Test Temperature
73° F.
Tixk i
Test
Wood 1odel, Rubbed Varnish Finish
Model Speed
11ode1 Resistance
Feet/Sec.
Pod
, Oct.
,
1L14Trim Changes in Inche8
Bow Stern 1.601 .0549 0 0 1.866 .0754 -.05 0 1.997 .0868 -.05 0 2,129 .1030 -.08 0 2.394 .1319 -.12 -.05 2.656 .1603 .1704 -.20 -.05
2,o9t
.2235
.2253
-.25
-.10
3.056
.2835
.2816 -.25 .10 3.168 36533626
-.30 -.10 3.321 .4653 -.30 -Q15 3.453 .5780 -.35 -.2035
.6999 .6989 -.40 --,20
371q
.7681
.7707 -.45 -.20 3.850 3207 .8226 ,50 -,203084
.8571 .8580 -.53 .9226 4,.t6 .9207 ,55 -.25 4,250 1,0053 9989 -.60 -.30 4.514 1317]. -.55 -.50 4.7e]. 1.7935 1,7944 -.45 -.90 - 2.5753 5.Oc0 2.5762 -.10 -1,35 Turbulence InducedMODEL TEST DATA
Model No 583
Length 3.667 Feet
Displacement-Length Ratio
400
Displacement 42.92 Lbs. Fresh Water
Prisn.tjc Coefficient - 0.70
R 279
- 14.
Test Temperature a 700 F.
Wood 4ode1, Rubbed Varnish
Model Speed
Ft ./Seo o
Tank i Test A, OCt.
17, i9La4
FinishModel Resistance Trim Changes in Inches
Pounds Bow Stern
1,601 .0571 .0560 -.10 0 1.733 0668 -.05 0 1.366 .0821 -.10 0 1,997 .0926 -.10 +.05 2.129
1068
o 2.3 94 .1379 -.20 -.05 2,E58 .1760 -.25 -.10 2.792 .2151 -.30 -.05 2,9242798
27 99 -,30 -.10 3.188 .4798 .4844 -.40 -,10 3.3215953
.5944 -.40 -.10 3.453 .6662 .6726 -.50 -.15 3 586 .7562 .7544 -.50-3.719
.8116 .8098 -.55 -.15 3,950 .8626 .8607 -.55 -p103984
.9199 .9153-.70
-.10
4.116
1.0244 -.75 -.10 4.250 1. 1571 1. 1616 -.80 -.20 4.514 1.6699 1.6644 -,70 -.45478l
2 .3807 2 .3 871 -.50 -.90 Turbulnce InducedEXPERIMENTAL TOWiNG TANK
STIT UTE OF TECOLÇ'( -4OCPEN FEW JEFSEYP 27
-PHOTOGRAPH OF MODEL NO. 580
DISPLACEMENT-LENGTH RATIO
300
PRISMATIC COEFFICIENT
=0.60
SPEED-LENGTH RATIO
1.00
R 279
-16-RESu
LNGT
FR110
FORF
EXPERIMENTAL TOWING TANK
STEVENS NSTITUTE OF TECNOLOGY
HOBOKEN, NEW JERSEY
09
LO R L2 i 1.490
30
R 25-17-EXPERIMENTAL TOWING TANK
STEVENS INSTITUTE OF TECHNOLOGY-250
NO:..M.aoEL-EsIsANc
EXPH FeST L:N(T
ByEXPERIMENTAL TOWING TANK
STEVENS INSTITUTE OF TECHNOLOGYHOBOKEN. NEW JERSEY
TQTAL RES1STJCE P.TPN
FOR I J
TA LOR'S STANDARD SRIjE$ FOR..
9F 4O
óot
.TÑ
PRIATIC CO F1ENTO.O
-LN3Ti R1OV
R 279