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HYDROMECHANIGS AERODYNAMICS o STRUCTURAL MECHANICS o APPLIED MATHEMATICS

Techthche Ho.

De1t

NM

--

L.

-

-

-TESTS OF A PLANING BOAT MODEL WITH PARTIAL HYDROFOIL SUPPORT

Peter Sherman

HYDROMECHANICS LABORATORY RESEARCH AND DEVELOPMENT REPORT

August 1958

Report 125+

(2)

TESTS OF

PLANING BO&T MODEL 1íITH PARTIAL HYDROFOIL SUPPORT

by

Peter Sherman

August 1958

Report 125+

(3)

NOT AT ION

B.L. Baseline

D CD Drag Coefficient, -,ûSv2

L

CL Lift Coefficient, -,,OSv2

D Drag of foil, lb

L Lift of foil, lb

S Projected area of foil, ft2

V Speed, knots

y Speed

Angle of attack, of foil, deg

0<0 Angle of attack of foil relative to the baseline of

the hull, deg

A Projected bottom area bounded by chines, and

transom, in plan view EHP Effective Horsepower

Fn Froude number based on volume, in any consistent units

g Acceleration due to gravity

L Overall length of the area, A, measured parallel

to baseline

Total Resistance

Rm Total model resistance, lb

SW/FW Density ratio, salt water to fresh water

Vm Model speed, knots

Displacement at rest, weight of

Displacement of model at rest, lb

(4)

Iii

Displacement of full-scale boat at rest, lb

Trim angle of hull with respect to attitude as

drawn, deg

T0 Trim at rest, deg

(5)

ABSTRPCT

A model of a planing boat was equipped with two horizontal submerged hydrofoils which were designed to carry part of the weight of the craft. Smooth-water resistance tests were made

.iith the foils at various fore-and-aft positions and various angles of attack to determine the optimum arrangement. Tests were also made of the foils alone. It was found that an appreciable scale effect on foil performance existed at Reynolds numbers below about

5 x

io5.

The data from the tests of the hull with foils, when corrected for scale effect on foil performance, indicated that the resistance of a planing boat can be decreased when such foils are added by as

much as 27 percent. The best result was attained with the foils located at 28 percent of the hull length aft of the bow, and with the foi]. chord line at an angle of

-3.5

deg with respect to the hull baseline.

INTRODUCT ION

High-speed small craft continue to be used for a variety

of military purposes. Possible means of improving the performance of such craft are accordingly of interest.

The application of hydrofoils to small craft has been extensively investigated in recent years. It has been found, however, that a boat which is entirely supported by hydrofoils

is relatively expensive and complex, both to develop and to

build.

A possible alternative way of improving the performance of high-speed small craft would be to utilize a planing hull together with hydrofoils which support only part of the weight of the

craft. By this approach it can be presumed that the craft's

resistance would be reduced in two ways. First, part of the weight would be supported by hydrofoils operating at a higher lift-drag ratio than the hull alone. Second, the hydrofoil lift could be applied in such a way as to improve the trim angle of the hull.

From a practical point of view this arrangement has a nur:ber of points in its favor. For one thing it could be adapted to

existing hulls having conventional shafting systems. Also, it can be expected that the hull would provide sufficient stability,

so that there would be no necessity for a complicated and expensive electric or mechanical incidence control system.

(6)

Tests to determine the smooth-water resistance and EHP of such a design were undertaken by the Model Basin, and the results are presented in this report.

THE MODEL TESTED

An existin hull model was used for the present Investigation. This was Model +377, which is a l/8-scale model of a 52-ft

aircraft rescue boat. It was necessary to select a relatively small model so that the hull and foil combination would fit in the test bay of the most suitable facility - Carriage 3 in the High-Speed Basin. Previous tests of the hull model are reported In Reference 1.*

The arrangement of the hull and hydrofoils is shown in Figure 1. It can be seen that it is possible to adjust the fore-and-aft

position, the vertical position, and the angle of attack of the foils.

The foils were designed so that the full-scale working stress in smooth water would be approximately

15,000

pounds per square

Inch. The NACA 16-509 foil section was utilized. The very flat

curve of pressure distribution on the low pressure side of this foil makes it particularly well suited as a hydrofoil, because relatively high speeds can be attained before cavitation inception. A cavitation check indicated that the craft considered here could attain a full-scale speed of about +5 knots, in smooth water, before the inception of cavitation on the foils,

TEST 0F HYDROFOIL ALÍNE

It has been pointed out in Reference 2 that at low Reynolds numbers there is an appreciable change with Reynolds number in

the lift and drag coefficients of' hydrofoils. Hence, it was necessary to determine quantitatively the effect of Reynolds number on the hydrodynamic performance of the present hydrofoil.

The lift and drag of one of the hydrofoils was measure on Carriage 3 by means of the setup shown in Figure 2. The drag

of the foils was measured by the carriage resistance dynamorneter, and the lift was measured as the reduction in the tension on

a strain gage dynamometer.

*References are listed on page 6

(7)

-2-The foil lift and drag were measured for a range of speeds and angles of attack. The air drag of the towing gear was

subtracted from the measured drag data.

Coefficients of lift and drag as determined from these tests are plotted in Figures 3 and 1+. It is apparent that the lift and drag coefficients are very much dependent upon speed

(or Reynolds number.) The lift coefficients increase with

increasing speed, while the drag coefficients decrease with speed Reynolds numbers for the test speed range (using mean chord

length as the characteristic length) are as follows:

In Figure

5,

lift coefficient is plotted against angle of attack. References 3 and i-4- were used to obtain the predicted lift curve in this figure. It is apparent that the angle of zero lift decreases with increasing speed. Jdso, the slope of the lift coefficient curve varies slightly with speed.

Figure 6 shows a plot of lift coefficient against drag co-efficient. Predicted curves for the model foil at 25 knots and

the full-scale foil at 1+0 knots (assuming no cavitation,) as

calculated from the information in References 3 and 1+, are inc1uded, (It is apparent that as the Reynolds number increases the

exerimental values approach the predicted full-scale values.)

Figure 7 a plot of lift-drag ratio against lift coefficienti presents the data from Figure 6 in a different form.

From these tests it is apparent that there is a very large effect of Reynolds number on the performance of a model

hydro-foil. It appears that a nodel foil should operate at a Reynolds

number above about 5 x 107 in order to approximate the performance of the full-scale foil.

TESTS OF HULL iITH ND WITHOUT FOILS

The hull was tested without foils at values of A/V 2/3 of

5

V Knots Reynolds Number

5

1.156 x 10

10

2.313 x io5

15

301+70 X

20 1+.626 x iO5

(8)

6, and 7, and with foils at values of I/ 2/3 of 5 and 6. The C.G. of all test conditions was 1ocatd at 6 percent L aft of the centroid of the area A. It was not possible to test the hull

with foils at an /y

2/3 of 7 because of the weight of the foil

assembly.

A value of A/ 2/3 of 6 corresponds to a full-scale displace-ment of 51,338 pounds. Reference 5 reports the empty weight of the full-scale boat as +7,266 pounds. Therefore, the loaded weight of the full-scale ft would be close to the displacement corres-ponding to an A/a' ' of 6.

The model was towed in the shaft line, which is shown in Reference 1. Resistance, wetted lengths, and trim angle were measured for model speeds up to 20 knots. The resistance data presented include the air drag of the model above the water. The air drag of the towing gear, however, has been subtracted. Wetted lengths of the hull were measured forward of the transom

to the intersection of solid water with the keel and chine

Photographs of the hull model without foils, running at a displacement corresponding to A/ 2/3 = 6, are presented in Figure

8.

Curves of trim and predicted full-scale E1P are given in Figure 10. The model without foils was stable at all speeds at the three displacements tested.

The model with foils was tested up to the speed at which it "took off." This was the speed at which the bow rose to an

appreciable height above the water and only the aft-most part of the bottom touched the water surface. The trim of the model greatly increased at this point. Disturbing forces were applied to the model at speeds below the point where it "took off," and the model appeared to be very stable and well damped in all motions except yaw. In yaw, the model exhibited a tendency to oscillate back and forth. This can be accounted for by the

fact that the model was not fitted with rudders or shaft struts and accordingly there was not enough lateral area aft to compensate for the lateral area of the foil struts forward. Figure 9 shows

the model running with foils at a displacement corresponding to

A/V2'3 = 6.

Figures 11 and 12 show the trim and predicted full-scale EHP curves for the craft with foils at A/ 2/j equal to 6. For the tests shown in Figure 11 the fore-and-aft location of the foils was varied while angle of attack of the foils with respect to the hull was kept constant. In Figure 12 the angle of attack of' the foils with respect to the hull was varied while the fore-and-aft location was kept constant0

(9)

Figure 13 shows preted full-scale EHP curves for the

craft with foils at t/ ') equal to 6, with the lift-drag ratio of the foils corrected for the Reynolds number effect. Figure 7 shows this Reynolds number effect on the lift-drag ratio. The lift of the foils was corrected by counter-balancing the model at the foil assembly by the amount of lift that the foils were lacking at that speed. The drag was corrected by subtracting the difference between the experimental and the predicted drag of the foils from the craft drag measured in the tests. The running trim of the craft for these tests is also plotted in Figure

13.

Figure 1L+ shows predicted full-scale EHP curves for the craft with foils at a displacement corresponding to A/

2/3

= 5.

The fore-and-aft location of the foils was varied in this test while the angle of attack with respect to the hull was held constant. These data were not corrected for Reynolds number effect on foil performance.

All ED calculations were made in accordance with Reference 6.

In calculating the EHP with "oils, the Reynolds number of the hull was used in calculating the frictional drag coefficients of model and full-scale craft. The fact that the Reynolds numbers of the foils were lower and hence the slope of the drag coefficient curve was steeper was not taken into account in calculating the

EHP. The values of predicted EH will therefore be slightly high.

COMPARATIVE DATA

The curve of R/ for the craft with the foils at their

optimum location and angle of attack for an p/' 2/3 equal to 6 is shown in Figure 15. The test is the same as that shown in Figure 13

(aç =

- 3.5°)

with the L/D corrected. The R/4 curve for the

craft without foils is also shown in this figure. The R/ curves have been corrected to a displacement of 100,000 pounds as is

done on DTMB Planing Boat Design Data Sheets (see Reference 7.) The percentage reduction in resistance is also plotted on this

figure. The maximum reduction in resistance is 27- percent.

CONCLUSIONS

1. Some preliminary model tests indicate that partial support of a planing boat with hydrofoils is not only practical but can be highly advantageous in reducing overall still-water resistance.

(10)

In still water, the partially supported craft is perfectly stable up to the speed where the hull takes off."

ihen disturbed by an external force the model appeared to be perfectly stable and well damped in pitch and roll0 However, there was a tendency of the model to oscillate back and forth

in yaw. This can be attributed to the lack of lateral area

aft on the mode as tested.

BEC OMMENDAT I ONS

L Preliminary results indicate that it might be highly

advantageous to make further investigations into partially supported craft0 The dynamic stability of these craft should be the primary subject investigated.

Investigate the possibilities of using surface-piercing foils instead of submerged foils.

A large amount of lateral area aft is necessary in the partially supported craft. This may be accomplished by utilizing a high-deadrise stern or by providing sufficient

skeg area aft.

REFERENCES

1. Curry, J.H., 'Model Test Results and Predicted EHP for

Bureau of Ships Design 52-Foot Aircraft Rescue Boat

from Tesof Model

)+377,! David Taylor Model Basin Report

769

(June

1951).

aldin, KL., el al0, 'A Theoretical and Experimental

Investigation of the Lift and Drag Characteristics of Hydrofoils at Subcritical and Supercritical Speeds, National Advisory Committee for Aeronautics Report

1232

(1955).

3. Gibbs and Cox, Inc., Hydrofoi1 Handbook, Volume II,

Hydro-dynamic Characteristics of Components," Bath Iron lWorks

Corp.

(l95+).

+. Stack, J., Tests of Airfoils Designed to Delay the

Compressibility Burble,'° National Advisory Committee for Aeronautics Report

763 (19-4-3)

(11)

-6-Meyer, E.R., CDR, USN, "Results of Standardization, Tactical, and Rough Water Trials on Five Aircraft Rescue Boats," David Taylor Model Basin Report 1108

(April

1957).

Gertler, M., tThe Prediction of Effective Horsepower of Ships by Methods in Use at the David Taylor Model

Basin," David Taylor Model Basin Report

576

(December

19-f7).

Clement, E.P., "Analyzing the Stepless Planing Boat," David Taylor Model Basin Report

1093

(November 1957).

(12)

INITIAL DISTRIBUTION

C op les

12 Chief, BuShips, Library (Code 312)

5 Technical Library

i Tech Asst to Chief (Code 106) 2 Preliminary Design (Code +20) 1 Hull Design (Code ì+O)

3 Boats and Small Craft (Code +9)

2 Chief of Naval Research, Amphibious Section (Code +63)

i H. Newton .'hitteisey, Inc.

17 Battery Place New York +, N.Y.

Attn: Mr. Southern Whittelsey

i Dynamic Developments,

inC.

Midway Avenue

Babylon, L.I., N.Y.

Attn: Mr. W. P. Carl, Jr.

1 Mr. J. G. Baker

Baker Manufacturing Co. Evansville, Wisc.

i Mr. R. J. Johnston

Miami Shipbuilding Corp. Miami, Florida

i Kettenburg Boat Works San Diego, California

(13)

u .i,ust1Gg .crU Gr Ilodsi 1-.b 4 Th-?B 1-- -L .628 Fu

irie1

COrd LIGe of !oLI$

Fors sod OCtGi

You 34eth

- Top Svflace P*rsilel to bss, Lip. of ode1

Figure

I

-

Photographs of Model

(14)

Wejht Pen

ttaohed to

Cerriage

Strain Gauge Tension Dynmomete

To Resistance Dynamomet er

t-er--Leve

Model Foil

Figure 2 - Setup or Model Foil and

(15)

0.8 0.7 0.6 0.5

r.4

0.1 o -0.1 -0.2

_u.'.sua.

___uiuuu

auiuuiuu ___uuiuuiaum

aauaaauau_aumuuaauu

o

__

lull.

11111111111111 UlUli

1111 1IU.

iuuuiuui

uuuuiuuuuu

.11.uiil.ul

ilillilill

I J I I i --r 5 10 4.0 Reynolds Number 15 o Speed, knots

Figure 3 - Lift Coefficient v

Speed, 1

ciiords Submergence(3.82 in.)

5.0 6.0 x 10 L 20 25 30 2.0 3.0

(16)

0.05 0.04 0.03 a) .-1 C-) -1 S-4 S-i a) o o ai 0.02 0.01 o

um

ii!!

u.

i!!!UtiiìHhiìììiiìi

umuiuuuuuauuuuuuuuuuuu

IIÍuuiu!iNÏIuIIIIIIuuI

10

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u.u...

uiuuuuuuuuuummumm

u..

2

110

1.0 I x 10 I 2.0 3 0 Reynolds -Number I 4.0 I 5.0 6.0 I x 10. o 5 10 15 20 25 30 Speed, knots

FIgure 4 - Drag Coerriclent vs. Speed, 1

(17)

U) o C-) 0.6 0.5 C-) 0.4 i__J +' (_j .-4Q 2 0.1 o -0.1 _40

Lid

d

_w4..rn.

__u.

.p

rAdÓ

('t o

g

-3° -2° -1° 0° 1° 2° a, Angle of Attack

Figure 5 - Lift Coefti.clent vs. Angle or Attack, l

Chords Submergence(3.82 in.)

3e

50

(18)

-0.06 -0 .05 -0.04 -0.02 -0 01 o 14

14

...o

o

-AÀ/

o o J

\

RUW1F1

'aurA vi

o_ ,,,s,A,

i..

Z\

o o o k .s.

iRrnaa

QPJ

-

/

-0.3 -0.2 -0.1 0 0 1 0.2 0.3 0.4 0.5 0.6 07 CL. Lift Coefficient

(19)

25 20 15 5 o 5 V -s 40 knots (Predicted) Vm 25 knots (Pred1cted)

/

IV

ots

wir

.uriwi

mir

e

pr

Ì,"

t

/: -0 3 -0.2 -0.1 0 0.1 0.2 0.3 0.4 05 0.6 0.7 CL, Litt Coetticlent

Figure 7 - Litt - Drag Ratio vs. Litt Coetticlent, 1 Chords Sumergeuoe(3.82 In.)

(20)

I

28.3 knots;

16

T -

4.650

V5 -

14.1 knots,

T

= 34Q0

=

Knots;

T

= 4.35°

= 35.4 knots;

T

= 3.85°

= 42.4 knots;

t

= 3.15°

FIgure 8 - Photographs or Model without

(21)

= 14-1 knots

V VV

LV

s

s

s

knOtS

23.3 knots;

= 5.00'

= 35.4 knots;

=

4.250

= 42.4 knots;

T

= 34Q0

Figure 9 - Photographs or Model with

Foils 24" rwd. C.G., a0= -3.0°

=

6;

r0= -0.18°.

(22)

1500 1400 1300 1200 1100 1000 600 500 400 300 200 100

18

7 6 a 1 o

i

/

LIIdillllllllIlIiiÏ

1111

III

/11

nl

Ill

A/v 40,754 As lb r / 7 o 10 20 30 40 50 Speed, knots

Figure 10 - Predicted EHP (using 1947 ATTC Model-Ship Correlation Line

with Zero Roughness Allowance) and Running Trim rrom tests

or Model 4377 without Foils; A/72m 5,6, and 7.

900 o (n 800 o o 700

(23)

1500 1400 1300 1200 1100 1000 500 400 300 200 100 19 6 5 o

/N

N

t,,

- 6(without

z

Q Foil l0 Q Foil l3 Ç Foil 16 ft 60.7% L-48.94 Assembly ft Fwd of 0.0. Assembly ft Fwd or C.G. Assembly Fwd of 0.0. L aft of bow ft 0.0 for was all at test. o 10 20 30 40 50 Speed, knots

Figure 11 Predicted nKP (using 1947 ATTC Model-Ship Uorrelation Line

with Zero Roughness Allowance) and Running Trim from tests

f Model 4377 wIth Foils; a, - .350; A/Va 6.

900 o 800 -4 o 700 p-600

(24)

900 o a UD 1500 1400 1300 1200 1100 1000 800 600 500 400 100 o

A/V - 6(with out foils)

/

,1

-2.5

a -3.5

Foils at 28 L aft of bow

50 7 6 300 200

/

40 10 20 30 Speed, knots

(25)

900 o o. a) co 1500 1400 1300 1200 1100 1000 800 a) '-I 4., C) 700 600 500 400 300 200 100 A/V

/

/

6(w ithout foils)

/

/

//

-3.0

35

a0

Foils at 28 L art or bow

/

/

21 1 o -1 o 10 20 30 40 50 Speed, knots

FIgure 13 - Predicted EHP fusing 1947 ATTC Model-Ship Correlation Line with Zero Roughness Allowance) and Running Trim from tests

of Model 4377 wIth Foils 16 ft Fwd of C.G.; A/v 6;

(26)

o o. a, q) 1500 1400 1300 1200 1100 1000 900 800 a, C) 700 c:a 600 500 400 300 200 100 22 50 7 6 5 l o -1

/

/

/

- 5(witout foils) / Foil ft Foil Foil 104 ft ft Fwd Fwd Fwd Assembly Assembly Assembly or c.o. or of 0.0. //

/

8

/

Q

/

I Q 13 40 0 10 20 30 Speed, knots

Figure 14 - Predicted EHP (using 1947 ATTC Model-SMp Correlation Line

witi Zero Rougirness Allowance) and Running Trim from tests

(27)

0.12

N

N

23 5 10a n a o 20 o 0 cl) o Q. 30 0.20 Without Foils With Foils 32.'7L Fwd. or c.o., -3.50 0.18 LID Corrected 0.16 0.14 2 3 4

Figure 15 - Resistance of Craft, with and without Foils, in Dimensionless

Form. A/7 6. Resistance Corrected to 100,000 lb Displacement

Using 1947 ATTO Model-Ship Correlation Line with Zero Roughness Allowance. 0.10

/

0.08 0.06 0.04 0.02 0

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