DI-023_REV_2_MODEL_TEST_REPORT.pdf

DI-023 Model Test Report Contract 6913G623P800007

Preliminary/Contract Design of Motor Vessel Ranger IV

Submitted by:

Loch Harbour Group

3060 Williams Drive, Suite 510

Fairfax, Virginia 22031

Preliminary/Contract Design of Motor Vessel Ranger IV

Contract No.: 6913G623P800007

CLIN-0010

DI-023 MODEL TEST REPORT

Revision 2

Date: 04-04-2025

DISTRIBUTION Statement C: Distribution authorized to the U.S. Government agencies and their Contractors. Other request for this document shall be referred to US Department of Transportation Volpe Center.

DATA RIGHTS: This report, drawing, design, concept, and specification are the intellectual property of Loch Harbour

Group, LLC, and/or R.R.P CONSULTING ENGINEERS, L.L.C and contain information which is proprietary. The rights defined below are reserved by Loch Harbour Group, LLC, and/or R.R.P CONSULTING ENGINEERS, L.L.C.

The United States Government’s rights to use, modify, reproduce, release, perform, display, or disclose these technical data are unrestricted. Any reproduction of technical data or portions thereof marked with this legend must also reproduce the markings.

DI-023 Model Test Report Contract 6913G623P800007

Preliminary/Contract Design of Motor Vessel Ranger IV

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 6

REVISION DESCRIPTION DATE AUTHOR

0 Initial submission 03-26-2024 RRP 1 Main Engine data updated and govt comments addressed

06-05-2024 RRP

2 Removed outdated propeller information.

04-04-2025 VOLPE

REVISION TABLE

RESEARCH AND DEVELOPMENT DEPARTMENT

SHIP HYDROMECHANICS DIVISION

A d d r e s s : 6 5 , S z c z e c i ń s k a S t P h o n e : ( 4 8 5 8 ) 5 5 6 1 1 2 5 8 0 - 3 9 2 G d a ń s k F a x : ( 4 8 5 8 ) 5 5 3 1 6 4 3 P o l a n d E - m a i l : m o d b a s @ c t o . g d a . p l

Number of pages 76 Copy N0

Prepared by: M.Sc. Patryk Dobreńko Head of Ship Hydromechanics Division:

Adam Grzonka

Approved by: M.Sc. Piotr Grzybowski

Project Manager: M.Sc. Patryk Dobreńko

Gdańsk, January 2024

TECHNICAL REPORT

N 0 R H - 2 0 2 4 / T - 0 0 3 E

R a n g er I V P ass e n g er Fer r y

R E S U L T S O F M O D E L T E S T S

I N C AL M W AT E R

H u l l M o d e l : M 1 1 4 3

( S T O C K P R O P E L L E R S )

- R E S I S T A N C E

- S E L F - P R O P U L S I O N

- N O M I N A L W A K E 3 D

CTO S.A. - RH RH-2024/T-003E Page 2

CONTENTS

INTRODUCTION

REVIEW AND RESULTS OF TESTS

Scope of Tests

Wave System

Resistance

Self-propulsion

Running Trim and Sinkage

Streamlines

Nominal wake 3D

CONCLUSIONS

HULL PARTICULARS

PROPULSION SYSTEM DATA

MODEL PARTICULARS

PROPULSOR PARTICULARS

RESULTS OF RESISTANCE TESTS

T=9’ draught, bare hull

T=9’ draught, appended hull

T=8’3” draught, bare hull

T=8’3” draught, appended hull

RESULTS OF SELF-PROPULSION TESTS

T=9’ draught

T=8’3” draught

STREAMLINES

RESULTS OF NOMINAL WAKE 3D TEST

APPENDIX B. RESISTANCE – MEASUREMENT & EXTRAPOLATION METHOD

APPENDIX C. PROPULSION - MEASUREMENT & EXTRAPOLATION METHOD

APPENDIX D. NOMINAL WAKE 3D - MEASUREMENT AND CALCULATIONS

CTO S.A. - RH RH-2024/T-003E Page 3

LIST OF FIGURES

Fig. 1 Effective power

Fig. 2. Residuary resistance coefficient

Fig. 3. Open water efficiency of CP767A/CP768A stock propellers with values obtained in self-propulsion tests

Fig. 4. Running trim and mean sinkage comparison

Fig. 5 M1143,sketch of the body lines

Fig. 6 M1143,sketch of the propulsive arrangement (all dimensions model scale)

Fig. 7 R1143 sketch of the rudder (all dimensions model scale)

Fig. 8. M1143, sketch of the shaft strut (all dimensions model scale)

Fig. 9. M1143, sketch of the thruster tunnel grid (all dimensions model scale)

Fig. 10 M1143, position of the bilge keel (all dimensions model scale)

Fig. 11. M1143, photographs of the hull model

Fig. 12. M1143, photographs of the propulsive arrangement

Fig. 13. CP767A, CP768A drawing of the propeller models

Fig. 14 Open water characteristics at P/D=1.403, CP767A/CP768A, model scale

Fig. 15 Open water characteristics at P/D=1.403, CP767A/CP768A, full scale

Fig. 16. Resistance prediction, bare hull – Draught T=9’

Fig. 17. Resistance test, running trim & mean sinkage, bare hull – Draught T=9’

Fig. 18. Resistance prediction, appended – Draught T=9’

Fig. 19. Resistance test, running trim & mean sinkage, appended – Draught T=9’

Fig. 20 Wave systems – 0 and 4÷6 knots, T=9’

Fig. 21 Wave systems – 7÷12 knots, T=9’

Fig. 22 Wave systems – 13÷16 knots, T=9’

Fig. 23. Resistance prediction, bare hull – Draught T=8’3”

Fig. 24. Resistance test, running trim & mean sinkage, bare hull – Draught T=8’3”

Fig. 25. Resistance prediction, appended – Draught T=8’3”

Fig. 26. Resistance test, running trim & mean sinkage, appended – Draught T=8’3”

Fig. 27 Wave systems – 0 and 4÷6 knots

Fig. 28 Wave systems – 7÷12 knots, T=8’3”

Fig. 29 Wave systems – 13÷16 knots, T=8’3”

Fig. 30. Propulsion prediction – Draught T=9’

Fig. 31. Self-propulsion test, running trim & mean sinkage – draught T=9’

Fig. 32. Propulsion prediction – Draught T=8’3”

Fig. 33. Self-propulsion test, running trim & mean sinkage – draught T=8’3”

Fig. 34. Streamlines at the bilge

Fig. 35. Photographs of the streamlines

Fig. 36. Photographs of the streamlines – stations 10-18

Fig. 37. Photographs of the streamlines – stations 4-10

Fig. 38. Wake 3D – distribution of axial and transversal relative velocities in propeller plane – SB

Fig. 39. Wake 3D – axial component coefficient – extreme and mean values

Fig. 40. Wake 3D, axial component coefficient –circumferential distribution – SB

Fig. 41. Wake 3D –radial relative velocity components – SB

Fig. 42. Wake 3D – tangential relative velocity component – SB

CTO S.A. - RH RH-2024/T-003E Page 4

GENERAL INFORMATION

Customer: Loch Harbour Group, Inc.

Order confirmation No.: RH/264/2023

CTO S.A. reference No.: 7:865:06:250

Ship's identification: Ranger IV Passenger Ferry

Hull model: M1143

Propeller models: CP767A/CP768A

This report contains results of the following tests:

Test no. Kind of test Ship draught [m] Test conditions, model characteristics fore aft

22817 Resistance 2.515 2.515 T=8’3”, VS = 4÷16 knots, bare hull

22819 Resistance 2.743 2.743 T=9’, VS = 4÷16 knots, bare hull

22833 Resistance 2.515 2.515 T=8’3”, VS = 4÷16 knots, appended hull

22834 Resistance 2.743 2.743 T=9’, VS = 4÷16 knots, appended hull

22837 Self-propulsion 2.515 2.515 T=8’3”, VS = 4÷16 knots, P0.7/D =1.403

22836 Self-propulsion 2.743 2.743 T=9’, VS = 4÷16 knots, P0.7/D =1.403

22826 Streamlines 2.743 2.743 T=9’, VS = 14 knots, bare hull

22847 Nominal wake 3D 2.743 2.743 T=9’, VS = 14 knots, appended hull

This document must not be copied, in total or in part, without written permission of the Ship Hydromechanics Division of the Maritime Advanced Research Centre

CTO S.A. - RH RH-2024/T-003E Page 5

INTRODUCTION

This technical report presents results of calm water tank tests on a model of Ranger IV Passenger Ferry

The purposes of the tests were as follows:

determination of resistance characteristics for bare and appended hull at two loading conditions;

determination of streamline pattern on the hull;

determination of self-propulsion characteristics with a stock propulsion system at two loading conditions;

determination of the nominal 3D wake field at the propeller plane.

The hull model was equipped with a stock propulsion system.

Prior to the model tests the hull was a subject of CFD analysis made by CTO (ref. to Technical Report No. RH-2023/T-058E). These analyses were made for the speed of 15 knots.

The final geometry of the hull and a part of the appendages was proposed by CTO.

The hull model is manufactured according to the requirements given in the ITTC Recommended Procedure 7.5-01-01-01: Ships Models.

The propeller models are manufactured according to the requirements given in the ITTC Recommended Procedure 7.5-01-02-02: Models Manufacture, Propeller Model Accuracy.

The methods used to carry out the tank tests and to extrapolate the results follow in general the methodology given in the relevant ITTC Recommended Procedures.

The tests are carried out in the deep water towing tank sized approx. 270 m x 12 m x 6 m in length, breadth and depth respectively. The tank is fitted out with a towing carriage of a maximum speed of 12 m/s.

The full scale resistance/propulsion predictions are given for fresh water, for the temperature of 15°C.

CTO S.A. - RH RH-2024/T-003E Page 6

REVIEW AND RESULTS OF TESTS

Scope of Tests

The scope of tests comprised bare hull resistance, appended hull resistance, self-propulsion, streamline (wet paint) and 3D wake tests.

The self-propulsion tests were carried out with the use of stock propeller models CP767A and CP768A.

The resistance and self-propulsion model tests were conducted at two draughts of 2.515m and 2.743m (8’3” and 9’) and 11 speeds of 4, 5, 6, 7, 8, 10, 12, 13, 14, 15 and 16 knots. The streamline and 3D wake tests were performed for a single draught of 9’ and a single speed of 14 knots.

Wave System

Due to a low difference between the tested draughts the wave pattern is very similar in both conditions.

Up to the speed of 8 knots the wave system is very low with only a low bow wave and a system of low oblique waves. At higher speeds the bow wave gests a sharp breaking crest. A consistent, gradual increase of the bow wave height was observed with the increasing speed.

From 13 knots on the bow wave is followed by a broad shallow through. At the aft the wave pattern is modest at the entire speed range.

At the design speed of 14 knots, the bow wave reaches approx. 7 feet (2m) above the static waterline and for the highest tested speed of 16 knots it reaches above 9 feet (2.7m).

CTO S.A. - RH RH-2024/T-003E Page 7

Resistance

The resistance tests were carried out at two loading conditions in two configurations: bare and appended. The appendages present during the tests were: shaft lines, shaft struts, bilge keels and a bow thruster tunnel with grids.

The form factor k (associated with the frictional component of resistance) was determined experimentally in conditions trimmed by the bow to eliminate the impact of the immersed transom.

The curves of the effective power for the bare and appended hull are presented in Fig. 1.

SHIP EFFECTIVE POWER

Ranger IV Passenger Ferry Draught T=8’3”, T=9’, PE [kW]

VS [knots]

Fig. 1 Effective power

4 5 6 7 8 9 10 11 12 13 14 15 16

Draught T=8'3", bare hull

Draught T=8'3", appended hull

Draught T=9', bare hull

Draught T=9', appended hull

CTO S.A. - RH RH-2024/T-003E Page 8

The residual resistance coefficient CR (representing mostly the wave resistance) is presented in Fig. 2.

The residuary resistance curves are consistent between draughts and the CR values are lower for the lower draught. The general trend is that the rate of increase of the coefficient rises with the rising speed, however the curves feature a hump around 13-14 knots, which most probably is caused by an unfavourable interference of the bow and stern wave systems at this Froude number (abt. 0.3).

RESIDUARY RESISTANCE COEFFICIENT

Ranger IV Passenger Ferry Draught T=8’3”, T=9’

CR [-]

VS [knots]

Fig. 2. Residuary resistance coefficient

The contribution of the appendages to the resistance is small – ab. 5% at the design speed of 14 knots.

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

1.60

1.80

2.00

2.20

2.40

2.60

2.80

3.00

3.20

3.40

3.60

3.80

4.00

4.20

4.40

4 5 6 7 8 9 10 11 12 13 14 15 16

Draught T=8'3"

Draught T=9'

CTO S.A. - RH RH-2024/T-003E Page 9

Self-propulsion

The self-propulsion test was conducted in the speed range of 4-16 knots and two draughts of 9’ and 8’3” The tests were carried out with the use of stock controllable pitch propeller models CP767A, CP768A. Their pitch ratio was set to the value provided by the Client.

The sense of rotation was outside over the top.

The predicted values of the ship delivered power and propeller rate of revolution are presented in Fig. 30, Fig. 32 and given in the table below.

Conditions Delivered Power Speed Rate of revolution

[kW] [knots] [rpm]

Draught T=9’

Assumed speed of 12 knots

785 12.0 224

Assumed speed of 14 knots

1477 14.0 273

Assumed 90% MCR 2082 15.3 303

Draught T=8’3”

Assumed speed of 12 knots

648 12.0 213

Assumed speed of 14 knots

1207 14.0 259

Assumed 90% MCR 2082 15.9 305

CTO S.A. - RH RH-2024/T-003E Page 10

The propeller efficiency curve is shown in the Fig. 3 with circles marking the values obtained in the propulsion test. It is observed that the propeller is operating relatively far from the peak of efficiency, especially at the highest speeds.

OPEN WATER PROPELLER EFFICIENCY

WITH VALUES OBTAINED IN SELF-PROPULSION TESTS

η0 [-]

Js [-]

Fig. 3. Open water efficiency of CP767A/CP768A stock propellers with values obtained in self-propulsion tests

The values of the propulsive coefficients at the design speed of 14 knots are shown in the table below. A relatively low hull efficiency is observed due to a high thrust deduction factor. A significant contribution to this factor comes from the rudder geometry, which may be favourable for the maneuverability but not propulsive efficiency. Open water efficiency is at approx. 59-61% (peak efficiency of the stock propeller is 69%). In result, the quasi-propulsive efficiency is at approx. 52-53%. The results in this report refer to the propulsive arrangement with stock propellers. It can be expected that the propulsive efficiency will be higher for the final propellers. Especially, increasing the propeller diameter might have a direct positive impact on the performance, by increasing the advance ratio.

T [m] VS [kn] t wS R 0S HS DS

9' 14 0.236 0.116 1.007 0.593 0.863 0.516

8'3" 14 0.249 0.126 1.008 0.611 0.859 0.529

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

Draught 8'3" η0

Draught 9'

Efficiency falling with increasing speed

CTO S.A. - RH RH-2024/T-003E Page 11

Running Trim and Sinkage

The trim and sinkage comparison plots for the two tested draughts of 9’ and 8’3” are presented in Fig 4. The results for appended resistance and propulsion tests are shown.

The results are consistent between draughts. The observed bow trim increases throughout the entire speed range. Addition of working propulsive system lowers the angle of dynamic trim slightly.

RUNNING TRIM & MEAN SINKAGE

Ranger IV Passenger Ferry Draught T=9’ T=8’3”

V [] zVM_S [m]

V [knots]

Fig. 4. Running trim and mean sinkage comparison

-0.70

-0.60

-0.50

-0.40

-0.30

-0.20

-0.10

0.00

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0

Draught T=8'3" (appended res.)

Draught T=9' (appended res.)

Draught T=8'3" (propulsion)

Draught T=9' (propulsion)

-0.35

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

0.00

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0

Draught T=8'3" (appended res.)

Draught T=9' (appended res.)

Draught T=8'3" (propulsion)

Draught T=9' (propulsion)

CTO S.A. - RH RH-2024/T-003E Page 12

Streamlines

The streamlines (wet paint) test was performed for draught of 9’ and speed of 14 knots.

The test results show a crossflow through the knuckle lines – especially at the bow and stern. This may generate vortices and contribute to the resistance. No other irregularities of flow were detected through the test.

The flow at the skeg does not show any particular disturbances.

The results confirm the correctness of the applied inclination angle of the grids at the bow thruster tunnel.

The results of the tests were used to position the bilge keels.

Nominal wake 3D

The nominal wake test was performed for draught of 9’ and speed of 14 knots at the starboard propeller disc. The results show a relatively uniform wake distribution (Fig.38).

The most visible deceleration of the axial component occurs above the propeller hub, which is a result of the wake of the inclined shaft lines. The wake of the shaft struts is visible, but the related deceleration is not significant. The area of slightly decelerated flow to the right of the hub (in the angular range about 60-150º) most probably is caused by the bilge vortex.

The transverse components are dominated by directions upwards. They are quite significant and in the polar coordinate system associated with the propeller translate into fluctuating radial and tangential components.

The measured wake provides adequate operating conditions for properly designed propellers.

CTO S.A. - RH RH-2024/T-003E Page 13

CONCLUSIONS

The wave pattern consists mostly of a steep breaking bow wave and a broad but shallow shoulder through. The remaining part of the wave system is modest.

The contribution of the appendages to the resistance is small – ab. 5% at the design speed of 14 knots.

Propeller open water efficiency falls with increasing speed and is considerably far from the peak efficiency of the used stock propellers.

Due to a high thrust deduction factor (with a significant contribution from the rudder), the hull efficiency is relatively low.

At the speed of 14 knots the quasi-propulsive efficiency is around 51–53%.

Based on tests with a stock propulsive system the delivered power at 14 knots is predicted at 1477 kW for 9’ draught and 1207 kW for 8’3” draught. Assuming the engine power of 2082kW at 90% MCR, the achievable speed is predicted at 15.3 knots for 9’ draught and 15.9 knots for 8’3” draught.

The streamlines test reveals a crossflow through the knuckle lines – especially at the bow and stern. This may generate vortices and contribute to the resistance.

The wake pattern is quite uniform and provides adequate operating conditions for properly designed propellers.

CTO S.A. - RH RH-2024/T-003E Page 14

HULL PARTICULARS

Main data of the hull version M1143

Symbol Unit T=9’ T=8’3”

Length between perpendiculars LPP [m] 49.68 49.68

Length of waterline LWL [m] 53.38 53.38

Breadth at waterline B [m] 10.47 10.47

Draught: fore TF [m] 2.743 2.515

Draught: aft TA [m] 2.743 2.515

Displacement volume [m3] 851 746

Area of wetted surface S [m2] 623 593

Relative longitudinal centre of buoyancy from midship section, “+” to fore

LCB /LPP [%] -4.4% -3.3%

Transverse projected area of ship above waterline

AT [m2] 130 130

Block coefficient CB [-] 0.597 0.571

Midship section coefficient CM [-] 0.910 0.902

Longitudinal prismatic coefficient CP [-] 0.655 0.633

Waterplane area coefficient CWP [-] 0.889 0.867

Remarks on hull particulars:

- the coefficients are calculated with reference to LPP and breadth at waterline.

PROPULSION SYSTEM DATA

Number and type of propellers 2 fixed pitch propellers

Design speed 14 knots

Installed Power MCR 2 1700 hp = 2 1268kW

Shaft loss 2%

Gear loss 5%

Other transmission losses 2%

Resulting delivered power at 90% MCR 2082 kW (both propellers)

CTO S.A. - RH RH-2024/T-003E Page 15

MODEL PARTICULARS

A sketch of the body lines is presented in Fig. 5 and photographs of the model in Fig.

11÷12.

Model scale: 1:8.269.

Model was manufactured of wood.

Outer surface of the model is considered to be hydrodynamically smooth.

Turbulisation: wire Φ1.0mm at station 19 Appendages: shafts with brackets, rudders with headboxes, bilge keels, thruster tunnel with grids

The following drawings were used to produce the hull model M1143

Item Original drawing, file name Figure

Hull model “mod_CTO_04-10.igs” sent by CTO via e-mail dated October 4th 2023

Fig. 5

Rudders, headboxes “TAI-1267_RANGER IV HULL (WIP)_HULL TEST_11- 7-23.3dm” received via e-mail dated November 7th

Fig. 7

Shafts with struts, stern tube covers, thruster tunnel grids

“M1143.igs” sent by CTO via e-mail dated November 30th 2023

Figs 8-9

Bilge keels “M1143-bilge-keel.3dm” sent by CTO via e-mail dated December 22nd 2023

Fig. 10

CTO S.A. - RH RH-2024/T-003E Page 16

TR

AP

BP

.5

T1 = 9'

T2 = 8' 3"

FP

BP

T2 = 8' 3"

CP

9 8

2.5

1.52

.5

CP

0.5 0 -0.5 -1

.5

T1 = 9'

Fig. 5 M1143,sketch of the body lines

CTO S.A. - RH RH-2024/T-003E Page 17

Fig. 6 M1143,sketch of the propulsive arrangement (all dimensions model scale)

CTO S.A. - RH RH-2024/T-003E Page 18

Fig. 7 R1143 sketch of the rudder

CTO S.A. - RH RH-2024/T-003E Page 19

Fig. 8. M1143, sketch of the shaft strut

Fig. 9. M1143, sketch of the thruster tunnel grid

CTO S.A. - RH RH-2024/T-003E Page 20

Fig. 10 M1143, position of the bilge keel

CTO S.A. - RH RH-2024/T-003E Page 21

Fig. 11. M1143, photographs of the hull model

CTO S.A. - RH RH-2024/T-003E Page 22

Fig. 12. M1143, photographs of the propulsive arrangement

CTO S.A. - RH RH-2024/T-003E Page 23

PROPULSOR PARTICULARS

Geometry of the propeller models is shown in Fig. 13.

Position of the propulsor models is shown in Fig. 6.

Open water characteristics are shown in Figs. 14-15

Main data of propellers CP767A/CP768A

Symbol Unit Full scale Model

Propeller model no. CP767A/CP768A

Diameter D [m] 1.753 0.212

Pitch adjusted at r/R=0.7 P0.7 [m] 2.459 0.297

Pitch ratio adjusted at r/R=0.7 P0.7 /D [-] 1.403

Expanded blade area ratio AE /A0 [-] 0.764

Hub ratio dh /D [-] 0.243

Number of blades z [-] 5

Direction of rotation

LEFT/RIGHT

outside over the top

30.38

.8

.4

48.55

.0

73.140.11

2.20

2.15

-2.37

83.74

40.87

5.15

1.000 0.975

AE/A0

0.300

4.12

3.13

2.63

1.66 1.42 0.35

Thickness

2.55 2.59

2.57

-2.93

-5.58

-6.49

20°

-5.89

-4.44

-1.21 0.00

Rake

34.75 38.87

48.53

57.71

88.92

87.39

82.45

73.02

0.243

55.95

767A - LEFT

768A - RIGHT

4.00

Chord

19.31 22.20

28.92

35.10

44.46

A

-8.42 2.59

17.90

-32.39

Le z = 5

D

0.279

28.97

36.98

0.350

0.400

212.00

B

0.500

0.600

0.700

0.800

0.850

0.900

0.7641

0.950

46.17

48.41 r/R

8.99 8.71

8.06

7.42

6.23

20°

DIRECTION OF ROTATION

=d/D

Fig. 13. CP767A, CP768A drawing of the propeller models

CTO S.A. - RH RH-2024/T-003E Page 24

PROPULSOR OPEN WATER CHARACTERISTICS

Propulsor model: propeller CP767A, CP768A

Propellers diameter 0.212 m Pitch ratio at r/R=0.7 1.403 -

OPEN WATER CHARACTERISTICS – MEAN

MODEL SCALE

J KTP 10KQ 0T

0.00 0.767 1.486 0.000

0.05 0.752 1.457 0.041

0.10 0.734 1.424 0.082

0.15 0.714 1.386 0.123

0.20 0.691 1.345 0.164

0.25 0.667 1.300 0.204

0.30 0.641 1.254 0.244

0.35 0.614 1.206 0.284

0.40 0.586 1.157 0.323

0.45 0.557 1.106 0.361

0.50 0.528 1.056 0.399

0.55 0.499 1.005 0.435

0.60 0.470 0.954 0.470

0.65 0.440 0.904 0.504

0.70 0.411 0.854 0.536

0.75 0.382 0.804 0.567

0.80 0.353 0.756 0.595

0.85 0.325 0.707 0.621

0.90 0.296 0.660 0.644

0.95 0.268 0.612 0.663

1.00 0.240 0.565 0.677

1.05 0.213 0.518 0.686

1.10 0.185 0.470 0.688

1.15 0.157 0.422 0.680

1.20 0.129 0.373 0.659

1.25 0.100 0.322 0.617

1.30 0.070 0.268 0.540

1.35 0.039 0.213 0.398

1.40 0.008 0.154 0.108

Coefficients of fairing polynomials i: 0 1 2 3 4 nKTi: 0.76649 -0.26508 -0.67595 0.598035 0.76649 nKQi: 0.14861 -0.05223 -0.11366 0.109915 0.14861

CTO S.A. - RH RH-2024/T-003E Page 25 η0, KT, 10KQ [-]

Fig. 14 Open water characteristics at P/D=1.403, CP767A/CP768A, model scale

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

1.10

1.20

1.30

1.40

1.50

1.60

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 1.5

KT

10KQ

ETA0

CTO S.A. - RH RH-2024/T-003E Page 26

Propulsor model: propeller CP767A, CP768A

Propellers diameter 1.753 m Pitch ratio at r/R=0.7 1.403 -

OPEN WATER CHARACTERISTICS - MEAN

FULL SCALE

J KTP 10KQ 0T

0.00 0.766 1.486 0.000

0.05 0.752 1.457 0.041

0.10 0.734 1.424 0.082

0.15 0.714 1.386 0.123

0.20 0.691 1.345 0.164

0.25 0.667 1.301 0.204

0.30 0.641 1.254 0.244

0.35 0.614 1.206 0.284

0.40 0.586 1.157 0.323

0.45 0.557 1.107 0.361

0.50 0.528 1.056 0.399

0.55 0.499 1.005 0.435

0.60 0.470 0.954 0.470

0.65 0.440 0.904 0.504

0.70 0.411 0.854 0.536

0.75 0.382 0.805 0.566

0.80 0.353 0.756 0.594

0.85 0.324 0.708 0.620

0.90 0.296 0.660 0.643

0.95 0.268 0.613 0.662

1.00 0.240 0.566 0.676

1.05 0.212 0.519 0.685

1.10 0.185 0.471 0.687

1.15 0.157 0.423 0.679

1.20 0.129 0.373 0.658

1.25 0.100 0.322 0.615

1.30 0.070 0.269 0.537

1.35 0.039 0.214 0.395

1.40 0.007 0.155 0.106

Coefficients of fairing polynomials i: 0 1 2 3 4 nKTi: 0.76646 -0.26507 -0.67602 0.59804 -0.18327 nKQi: 0.14863 -0.05223 -0.11362 0.10992 -0.03617

CTO S.A. - RH RH-2024/T-003E Page 27 η0, KT, 10KQ [-]

Fig. 15 Open water characteristics at P/D=1.403, CP767A/CP768A, full scale

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

1.10

1.20

1.30

1.40

1.50

1.60

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 1.5

KT

10KQ

ETA0

CTO S.A. - RH RH-2024/T-003E Page 28

RESULTS OF RESISTANCE TESTS

T=9’ draught, bare hull

RESISTANCE TEST RESULTS

SHIP DATA

name Ranger IV main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages none loading 9' draught fore TF [m] 2.74 aft TA [m] 2.74 length of waterline LWL [m] 53.38 displacement [m3] 851 wetted surface S [m2] 623 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.19 hull roughness kS [10-6m] 150 roughness allowance CF [10-3] 0.842 air resistance coefficient CAA [10-3] 0.209

TEST DATA

model No M1143 test No 22819 scale factor 8.27 water properties full scale tank salinity [%] 0 — temperature t [C] 15.0 17.5 mass density [kg/m3] 999.0 998.6 kinematic viscosity

[10-6 m2/s]

1.139 1.068

MODEL

VS [kn] VM [m/s] RTM [N] CTM [10-3] RnM [106] CFM [10-3] CR [10-3] Fn

4.00 0.716 10.50 4.509 4.33 3.489 0.356 0.0899

5.00 0.895 16.01 4.399 5.41 3.348 0.414 0.1124

6.00 1.073 23.26 4.438 6.49 3.239 0.584 0.1349

7.00 1.252 32.01 4.487 7.57 3.150 0.738 0.1574

8.00 1.431 42.76 4.589 8.65 3.077 0.927 0.1799

10.00 1.789 71.72 4.926 10.82 2.960 1.404 0.2248

12.00 2.147 114.18 5.446 12.98 2.869 2.032 0.2698

13.00 2.326 148.91 6.051 14.06 2.830 2.684 0.2923

14.00 2.505 183.21 6.420 15.14 2.795 3.094 0.3148

15.00 2.684 217.07 6.626 16.22 2.763 3.338 0.3373

16.00 2.862 271.10 7.273 17.30 2.733 4.020 0.3597

VS [kn] VM [m/s] zM [mm] []

4.00 0.716 -2.8 -0.02

5.00 0.895 -2.7 -0.04

6.00 1.073 -4.1 -0.05

7.00 1.252 -5.9 -0.08

8.00 1.431 -7.0 -0.11

10.00 1.789 -12.1 -0.19

12.00 2.147 -18.7 -0.28

13.00 2.326 -22.4 -0.31

14.00 2.505 -26.6 -0.33

15.00 2.684 -30.7 -0.43

16.00 2.862 -35.7 -0.53

CTO S.A. - RH RH-2024/T-003E Page 29 main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages none loading 9' draught fore TF [m] 2.74 aft TA [m] 2.74 length of waterline LWL [m] 53.38 displacement [m3] 851 wetted surface S [m2] 623 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.19 hull roughness kS [10-6m] 150 test No 22819 temperature t [C] 15.0 17.5 mass density [kg/m3] 999.0 998.6

SHIP condition: trials

VS [kn] RTS [kN] PES [kW] CTS [10-3] RnS [108] CFS [10-3] CTS [10-3] Fn

4.00 5.1 11 3.899 0.96 2.094 27.044 0.2135

5.00 8.0 21 3.878 1.21 2.028 26.902 0.2668

6.00 11.8 36 3.986 1.45 1.976 27.652 0.3202

7.00 16.5 59 4.090 1.69 1.934 28.370 0.3735

8.00 22.3 92 4.237 1.93 1.898 29.392 0.4269

10.00 38.3 197 4.645 2.41 1.841 32.223 0.5336

12.00 61.9 382 5.220 2.89 1.796 36.212 0.6404

13.00 81.4 544 5.849 3.13 1.777 40.574 0.6937

14.00 100.7 725 6.238 3.38 1.760 43.274 0.7471

15.00 119.8 924 6.463 3.62 1.744 44.836 0.8005

16.00 150.3 1237 7.128 3.86 1.729 49.447 0.8538

SHIP

VS [kn] zS [m] []

4.00 -0.02 -0.02

5.00 -0.02 -0.04

6.00 -0.03 -0.05

7.00 -0.05 -0.08

8.00 -0.06 -0.11

10.00 -0.10 -0.19

12.00 -0.15 -0.28

13.00 -0.19 -0.31

14.00 -0.22 -0.33

15.00 -0.25 -0.43

16.00 -0.29 -0.53

CTO S.A. - RH RH-2024/T-003E Page 30

Fig. 16. Resistance prediction, bare hull – Draught T=9’

4 6 8 10 12 14 16

V [kn]

RT

[kN]

100.7

.0

RESISTANCE PREDICTION - BARE HULL

ship Ranger IV model M1143

9' draught TA=TF=2.74m trial conditions

CTO S.A. - RH RH-2024/T-003E Page 31

Ranger IV Passenger Ferry

RUNNING TRIM ANGLE & MEAN SINKAGE

Resistance Test, bare hull– draught T=9’

Fig. 17. Resistance test, running trim & mean sinkage, bare hull – Draught T=9’

-0.60

-0.50

-0.40

-0.30

-0.20

-0.10

0.00

4.0 6.0 8.0 10.0 12.0 14.0 16.0

-0.35

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

4.0 6.0 8.0 10.0 12.0 14.0 16.0

CTO S.A. - RH RH-2024/T-003E Page 32

T=9’ draught, appended hull

RESISTANCE TEST RESULTS – APPENDED

main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 9' draught fore TF [m] 2.74 aft TA [m] 2.74 length of waterline LWL [m] 53.38 displacement [m3] 851 wetted surface S [m2] 623 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.19 hull roughness kS [10-6m] 150 test No 22834 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6

1.139 1.073 appendage scale effect factor = 0.70

VS

[kn]

VM

[m/s]

RTM

[N]

CTM

[10-3]

RnM [106]

CFM

[10-3]

CR

[10-3]

CAPM

[10-3]

Fn

4.00 0.716 11.63 4.990 4.30 3.493 0.358 0.477 0.0899

5.00 0.895 17.67 4.854 5.38 3.351 0.414 0.452 0.1124

6.00 1.073 25.14 4.796 6.46 3.242 0.584 0.354 0.1349

7.00 1.252 34.78 4.875 7.53 3.153 0.738 0.385 0.1574

8.00 1.431 47.33 5.079 8.61 3.080 0.927 0.487 0.1799

10.00 1.789 77.41 5.316 10.76 2.962 1.403 0.388 0.2248

12.00 2.147 124.42 5.934 12.91 2.871 2.032 0.485 0.2698

13.00 2.326 158.58 6.444 13.99 2.832 2.683 0.391 0.2923

14.00 2.505 196.03 6.869 15.06 2.797 3.094 0.446 0.3148

15.00 2.684 233.29 7.121 16.14 2.765 3.338 0.492 0.3373

16.00 2.862 291.64 7.824 17.22 2.736 4.022 0.546 0.3597

4.00 0.716 -2.1 -0.03

5.00 0.895 -3.2 -0.04

6.00 1.073 -4.3 -0.06

7.00 1.252 -5.8 -0.09

8.00 1.431 -7.3 -0.12

10.00 1.789 -12.3 -0.20

12.00 2.147 -18.8 -0.30

13.00 2.326 -22.7 -0.32

14.00 2.505 -26.8 -0.34

15.00 2.684 -30.9 -0.44

16.00 2.862 -35.6 -0.54

CTO S.A. - RH RH-2024/T-003E Page 33 main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 9' draught fore TF [m] 2.74 aft TA [m] 2.74 length of waterline LWL [m] 53.38 displacement [m3] 851 wetted surface S [m2] 623 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.19 hull roughness kS [10-6m] 150 test No 22834 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6

[kn]

RTS

[kN]

PES

[kW]

CTS

[10-3]

RnS [108]

CFS

[10-3]

CAPS

[10-3]

CTS

[10-3]

Fn

4.00 5.6 11 4.234 0.96 2.094 0.334 29.369 0.2135

5.00 8.6 22 4.194 1.21 2.028 0.316 29.095 0.2668

6.00 12.6 39 4.234 1.45 1.976 0.248 29.370 0.3202

7.00 17.6 63 4.359 1.69 1.934 0.269 30.238 0.3735

8.00 24.1 99 4.577 1.93 1.898 0.341 31.753 0.4269

10.00 40.5 208 4.916 2.41 1.841 0.271 34.104 0.5336

12.00 65.9 407 5.560 2.89 1.796 0.340 38.568 0.6404

13.00 85.2 570 6.122 3.13 1.777 0.273 42.467 0.6937

14.00 105.7 762 6.551 3.38 1.760 0.312 45.441 0.7471

15.00 126.2 974 6.808 3.62 1.744 0.344 47.226 0.8005

16.00 158.4 1304 7.512 3.86 1.729 0.383 52.112 0.8538

4.00 -0.02 -0.03

5.00 -0.03 -0.04

6.00 -0.04 -0.06

7.00 -0.05 -0.09

8.00 -0.06 -0.12

10.00 -0.10 -0.20

12.00 -0.16 -0.30

13.00 -0.19 -0.32

14.00 -0.22 -0.34

15.00 -0.26 -0.44

16.00 -0.29 -0.54

CTO S.A. - RH RH-2024/T-003E Page 34

Fig. 18. Resistance prediction, appended – Draught T=9’

V [kn]

RT

[kN]

105.7

.0

RESISTANCE PREDICTION - APPENDED

ship Ranger IV model M1143

CTO S.A. - RH RH-2024/T-003E Page 35

Resistance Test, appended – draught T=9’

Fig. 19. Resistance test, running trim & mean sinkage, appended – Draught T=9’

-0.40

-0.30

-0.20

-0.10

0.00

4.0 6.0 8.0 10.0 12.0 14.0 16.0

-0.35

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

CTO S.A. - RH RH-2024/T-003E Page 36

Ranger IV Passenger Ferry WAVE SYSTEMS Draught T=9’ Waterline spacing corresponds to 2ft (0.61m) full scale

Fig. 20 Wave systems – 0 and 4÷6 knots, T=9’

CTO S.A. - RH RH-2024/T-003E Page 37

Fig. 21 Wave systems – 7÷12 knots, T=9’

CTO S.A. - RH RH-2024/T-003E Page 38

Fig. 22 Wave systems – 13÷16 knots, T=9’

CTO S.A. - RH RH-2024/T-003E Page 39

T=8’3” draught, bare hull main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages none loading 8'3" draught fore TF [m] 2.52 aft TA [m] 2.52 length of waterline LWL [m] 53.38 displacement [m3] 746 wetted surface S [m2] 593 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.17 hull roughness kS [10-6m] 150 air resistance coefficient CAA [10-3] 0.219 test No 22817 temperature t [C] 15.0 17.5 mass density [kg/m3] 999.0 998.6

VS [kn] VM [m/s] RTM [N] CTM [10-3] RnM [106] CFM [10-3] CR [10-3] Fn

4.00 0.716 9.06 4.085 4.33 3.489 0.003 0.0899

5.00 0.895 13.79 3.981 5.41 3.348 0.064 0.1124

6.00 1.073 19.73 3.954 6.49 3.239 0.164 0.1349

7.00 1.252 27.11 3.992 7.57 3.151 0.306 0.1574

8.00 1.431 35.81 4.037 8.65 3.077 0.437 0.1799

10.00 1.789 58.99 4.257 10.81 2.960 0.794 0.2248

12.00 2.147 94.63 4.742 12.98 2.869 1.385 0.2698

13.00 2.326 123.44 5.270 14.06 2.830 1.959 0.2923

14.00 2.505 152.86 5.627 15.14 2.795 2.357 0.3148

15.00 2.684 182.33 5.847 16.22 2.763 2.615 0.3373

16.00 2.862 233.67 6.586 17.30 2.733 3.388 0.3598

4.00 0.716 -2.4 -0.03

5.00 0.895 -3.4 -0.05

6.00 1.073 -4.8 -0.08

7.00 1.252 -6.0 -0.11

8.00 1.431 -8.0 -0.14

10.00 1.789 -12.9 -0.23

12.00 2.147 -18.4 -0.35

13.00 2.326 -22.3 -0.39

14.00 2.505 -25.9 -0.43

15.00 2.684 -29.6 -0.53

16.00 2.862 -34.1 -0.63

CTO S.A. - RH RH-2024/T-003E Page 40 main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages none loading 8'3" draught fore TF [m] 2.52 aft TA [m] 2.52 length of waterline LWL [m] 53.38 displacement [m3] 746 wetted surface S [m2] 593 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.17 hull roughness kS [10-6m] 150 test No 22817 temperature t [C] 15.0 17.5 mass density [kg/m3] 999.0 998.6

VS [kn] RTS [kN] PES [kW] CTS [10-3] RnS [108] CFS [10-3] CTS [10-3] Fn

4.00 4.4 9 3.514 0.96 2.094 25.325 0.2182

5.00 6.9 18 3.497 1.21 2.028 25.205 0.2727

6.00 10.0 31 3.537 1.45 1.976 25.494 0.3273

7.00 13.9 50 3.629 1.69 1.934 26.155 0.3818

8.00 18.7 77 3.719 1.93 1.898 26.805 0.4364

10.00 31.4 162 4.009 2.41 1.841 28.893 0.5454

12.00 51.3 317 4.548 2.89 1.796 32.777 0.6545

13.00 67.6 452 5.100 3.13 1.777 36.751 0.7091

14.00 84.2 606 5.477 3.38 1.760 39.472 0.7636

15.00 100.8 778 5.716 3.62 1.744 41.191 0.8182

16.00 129.9 1069 6.472 3.86 1.729 46.640 0.8727

4.00 -0.02 -0.03

5.00 -0.03 -0.05

6.00 -0.04 -0.08

7.00 -0.05 -0.11

8.00 -0.07 -0.14

10.00 -0.11 -0.23

12.00 -0.15 -0.35

13.00 -0.18 -0.39

14.00 -0.21 -0.43

15.00 -0.24 -0.53

16.00 -0.28 -0.63

CTO S.A. - RH RH-2024/T-003E Page 41

Fig. 23. Resistance prediction, bare hull – Draught T=8’3”

V [kn]

RT

[kN]

84.2

.0

RESISTANCE PREDICTION - BARE HULL

ship Ranger IV model M1143

8'3" draught TA=TF=2.52m

CTO S.A. - RH RH-2024/T-003E Page 42

Resistance Test, bare hull – draught T=8’3”

Fig. 24. Resistance test, running trim & mean sinkage, bare hull – Draught T=8’3”

-0.50

-0.40

-0.30

-0.20

-0.10

0.00

4.0 6.0 8.0 10.0 12.0 14.0 16.0

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

CTO S.A. - RH RH-2024/T-003E Page 43

T=8’3” draught, appended hull main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 8'3" draught fore TF [m] 2.52 aft TA [m] 2.52 length of waterline LWL [m] 53.38 displacement [m3] 746 wetted surface S [m2] 593 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.17 hull roughness kS [10-6m] 150 test No 22833 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6

[kn]

VM

[m/s]

RTM

[N]

CTM

[10-3]

RnM [106]

CFM

[10-3]

CR

[10-3]

CAPM

[10-3]

Fn

4.00 0.716 10.44 4.709 4.30 3.493 0.002 0.620 0.0899

5.00 0.895 15.71 4.535 5.38 3.351 0.063 0.550 0.1124

6.00 1.073 22.49 4.508 6.46 3.242 0.164 0.551 0.1349

7.00 1.252 30.42 4.479 7.53 3.153 0.305 0.484 0.1574

8.00 1.431 40.67 4.586 8.61 3.080 0.437 0.545 0.1799

10.00 1.789 65.95 4.759 10.76 2.962 0.794 0.499 0.2248

12.00 2.147 104.41 5.232 12.91 2.871 1.385 0.487 0.2698

13.00 2.326 134.28 5.733 13.99 2.832 1.959 0.460 0.2923

14.00 2.505 164.15 6.043 15.06 2.797 2.357 0.413 0.3148

15.00 2.684 197.87 6.345 16.14 2.765 2.615 0.495 0.3373

16.00 2.862 251.29 7.082 17.22 2.736 3.389 0.493 0.3598

4.00 0.716 -1.8 -0.03

5.00 0.895 -2.8 -0.05

6.00 1.073 -4.0 -0.07

7.00 1.252 -5.5 -0.10

8.00 1.431 -7.1 -0.13

10.00 1.789 -11.4 -0.22

12.00 2.147 -16.7 -0.32

13.00 2.326 -20.3 -0.35

14.00 2.505 -24.2 -0.40

15.00 2.684 -28.3 -0.52

16.00 2.862 -33.1 -0.62

CTO S.A. - RH RH-2024/T-003E Page 44 main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 8'3" draught fore TF [m] 2.52 aft TA [m] 2.52 length of waterline LWL [m] 53.38 displacement [m3] 746 wetted surface S [m2] 593 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.17 hull roughness kS [10-6m] 150 test No 22833 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6

[kn]

RTS

[kN]

PES

[kW]

CTS

[10-3]

RnS [108]

CFS

[10-3]

CAPS

[10-3]

CTS

[10-3]

Fn

4.00 5.0 10 3.947 0.96 2.094 0.434 28.446 0.2182

5.00 7.6 20 3.882 1.21 2.028 0.385 27.980 0.2727

6.00 11.1 34 3.923 1.45 1.976 0.385 28.271 0.3273

7.00 15.2 55 3.968 1.69 1.934 0.339 28.595 0.3818

8.00 20.6 85 4.101 1.93 1.898 0.382 29.555 0.4364

10.00 34.2 176 4.358 2.41 1.841 0.349 31.410 0.5454

12.00 55.2 341 4.889 2.89 1.796 0.341 35.234 0.6545

13.00 71.8 480 5.421 3.13 1.777 0.322 39.069 0.7091

14.00 88.6 638 5.766 3.38 1.760 0.289 41.553 0.7636

15.00 106.9 825 6.062 3.62 1.744 0.347 43.690 0.8182

16.00 136.8 1126 6.818 3.86 1.729 0.345 49.132 0.8727

4.00 -0.01 -0.03

5.00 -0.02 -0.05

6.00 -0.03 -0.07

7.00 -0.05 -0.10

8.00 -0.06 -0.13

10.00 -0.09 -0.22

12.00 -0.14 -0.32

13.00 -0.17 -0.35

14.00 -0.20 -0.40

15.00 -0.23 -0.52

16.00 -0.27 -0.62

CTO S.A. - RH RH-2024/T-003E Page 45

Fig. 25. Resistance prediction, appended – Draught T=8’3”

V [kn]

RT

[kN]

88.6

.0

RESISTANCE PREDICTION - APPENDED

ship Ranger IV model M1143

CTO S.A. - RH RH-2024/T-003E Page 46

Resistance Test, appended – draught T=8’3”

Fig. 26. Resistance test, running trim & mean sinkage, appended – Draught T=8’3”

-0.50

-0.40

-0.30

-0.20

-0.10

0.00

4.0 6.0 8.0 10.0 12.0 14.0 16.0

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

CTO S.A. - RH RH-2024/T-003E Page 47

Ranger IV Passenger Ferry WAVE SYSTEMS Draught T=8’3”

Fig. 27 Wave systems – 0 and 4÷6 knots

CTO S.A. - RH RH-2024/T-003E Page 48

Fig. 28 Wave systems – 7÷12 knots, T=8’3”

CTO S.A. - RH RH-2024/T-003E Page 49

Fig. 29 Wave systems – 13÷16 knots, T=8’3”

CTO S.A. - RH RH-2024/T-003E Page 50

RESULTS OF SELF-PROPULSION TESTS

T=9’ draught

PROPULSION TEST RESULTS

main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 9' draught fore TF [m] 2.74 aft TA [m] 2.74 length of waterline LWL [m] 53.38 displacement [m3] 851 wetted surface S [m2] 623 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.19 hull roughness kS [10-6m] 150 test No 22836 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6

PROPELLER DATA

No of propellers 2 propeller model(s) CP767A/768A

No of blades z 5 diameter D [m] 1.753 pitch ratio at 0.7R P/D 1.403 roughness pS [10-6m] 30

VS [kn] VM [m/s] RTM [N] FD [N] nM [rps] TM [N] QM [Nm] Fn

4.00 0.716 11.63 1.76 3.33 6.36 0.317 0.0899

5.00 0.895 17.67 2.40 4.19 10.18 0.503 0.1124

6.00 1.073 25.14 2.94 5.03 14.96 0.728 0.1349

7.00 1.252 34.78 3.68 5.93 21.27 1.018 0.1574

8.00 1.431 47.33 4.67 6.80 28.45 1.350 0.1799

10.00 1.789 77.41 5.82 8.70 48.53 2.263 0.2248

12.00 2.147 124.42 7.84 10.73 78.00 3.575 0.2698

13.00 2.326 158.58 7.94 11.95 100.17 4.538 0.2923

14.00 2.505 196.03 9.08 13.09 122.40 5.513 0.3148

15.00 2.684 233.29 10.25 14.13 145.35 6.520 0.3373

16.00 2.862 291.64 11.62 15.45 180.95 8.058 0.3597

VS [kn] VM [m/s] t wM HM R JM 0M

4.00 0.716 0.225 0.092 0.854 0.958 0.920 0.652

5.00 0.895 0.250 0.090 0.824 0.964 0.916 0.650

6.00 1.073 0.258 0.102 0.826 0.972 0.905 0.645

7.00 1.252 0.269 0.104 0.816 0.983 0.893 0.640

8.00 1.431 0.250 0.109 0.841 0.988 0.884 0.637

10.00 1.789 0.263 0.112 0.831 0.995 0.861 0.626

12.00 2.147 0.253 0.120 0.849 1.001 0.830 0.611

13.00 2.326 0.248 0.118 0.853 1.005 0.809 0.600

14.00 2.505 0.236 0.116 0.863 1.007 0.798 0.594

15.00 2.684 0.233 0.123 0.875 1.007 0.786 0.587

16.00 2.862 0.226 0.130 0.889 1.006 0.760 0.573

CTO S.A. - RH RH-2024/T-003E Page 51 main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 9' draught fore TF [m] 2.74 aft TA [m] 2.74 length of waterline LWL [m] 53.38 displacement [m3] 851 wetted surface S [m2] 623 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.19 hull roughness kS [10-6m] 150 test No 22836 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6 propeller model(s) CP767A/768A

No of blades z 5 diameter D [m] 1.753

VS [kn] PES [kW] PDS [kW] nS [rpm] TS [kN] QS [kNm]

4.00 11 22 69.5 3.6 1.5

5.00 22 43 87.5 5.8 2.4

6.00 39 75 104.9 8.5 3.4

7.00 63 123 123.7 12.0 4.8

8.00 99 188 141.9 16.1 6.3

10.00 208 403 181.5 27.5 10.6

12.00 407 785 223.9 44.1 16.7

13.00 570 1110 249.4 56.7 21.2

14.00 762 1477 273.2 69.2 25.8

15.00 974 1885 294.8 82.2 30.5

16.00 1304 2548 322.4 102.3 37.7

VS [kn] DS wS HS JS 0S

4.00 0.532 0.092 0.854 0.920 0.650

5.00 0.515 0.090 0.824 0.916 0.649

6.00 0.517 0.102 0.826 0.905 0.644

7.00 0.513 0.104 0.816 0.893 0.639

8.00 0.528 0.109 0.841 0.884 0.636

10.00 0.517 0.112 0.831 0.861 0.625

12.00 0.518 0.120 0.849 0.830 0.610

13.00 0.513 0.118 0.853 0.809 0.599

14.00 0.516 0.116 0.863 0.798 0.593

15.00 0.517 0.123 0.875 0.786 0.586

16.00 0.512 0.130 0.889 0.760 0.572

CTO S.A. - RH RH-2024/T-003E Page 52

Fig. 30. Propulsion prediction – Draught T=9’

V [kn]

PD

[kW] n [rpm]

.0

.3

PROPULSION PREDICTION

ship Ranger IV model M1143

CTO S.A. - RH RH-2024/T-003E Page 53

Self-Propulsion Test – Draught T=9’

Fig. 31. Self-propulsion test, running trim & mean sinkage – draught T=9’

-0.40

-0.30

-0.20

-0.10

0.00

4.0 6.0 8.0 10.0 12.0 14.0 16.0

-0.35

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

CTO S.A. - RH RH-2024/T-003E Page 54

T=8’3” draught main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 8'3" draught fore TF [m] 2.52 aft TA [m] 2.52 length of waterline LWL [m] 53.38 displacement [m3] 746 wetted surface S [m2] 593 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.17 hull roughness kS [10-6m] 150 test No 22837 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6 propeller model(s) CP767A/768A

No of blades z 5 diameter D [m] 1.753

VS [kn] VM [m/s] RTM [N] FD [N] nM [rps] TM [N] QM [Nm] Fn

4.00 0.716 10.44 1.69 3.24 5.79 0.298 0.0899

5.00 0.895 15.71 2.26 4.04 9.14 0.462 0.1124

6.00 1.073 22.49 2.92 4.87 13.54 0.666 0.1349

7.00 1.252 30.42 3.47 5.71 18.88 0.917 0.1574

8.00 1.431 40.67 4.30 6.52 24.82 1.193 0.1799

10.00 1.789 65.95 5.55 8.32 41.99 1.986 0.2248

12.00 2.147 104.41 6.84 10.20 66.80 3.102 0.2698

13.00 2.326 134.28 7.30 11.35 85.77 3.933 0.2923

14.00 2.505 164.15 7.52 12.42 104.27 4.748 0.3148

15.00 2.684 197.87 8.82 13.46 125.55 5.688 0.3373

16.00 2.862 251.29 9.40 14.78 158.99 7.136 0.3598

VS [kn] VM [m/s] t wM HM R JM 0M

4.00 0.716 0.244 0.095 0.835 0.936 0.942 0.660

5.00 0.895 0.264 0.106 0.823 0.950 0.933 0.656

6.00 1.073 0.277 0.111 0.813 0.970 0.924 0.653

7.00 1.252 0.286 0.113 0.805 0.980 0.917 0.650

8.00 1.431 0.267 0.119 0.832 0.987 0.912 0.648

10.00 1.789 0.281 0.120 0.817 0.995 0.893 0.640

12.00 2.147 0.270 0.132 0.841 1.000 0.861 0.626

13.00 2.326 0.260 0.131 0.851 1.004 0.840 0.616

14.00 2.505 0.249 0.126 0.859 1.008 0.831 0.611

15.00 2.684 0.247 0.132 0.867 1.007 0.816 0.604

16.00 2.862 0.239 0.139 0.884 1.006 0.786 0.587

CTO S.A. - RH RH-2024/T-003E Page 55 main particulars [m] CB [-] 0.5688

LPP 49.68 B 10.47 T 2.74

appendages shafts with brackets, bilge keels, bow thruster tunnel loading 8'3" draught fore TF [m] 2.52 aft TA [m] 2.52 length of waterline LWL [m] 53.38 displacement [m3] 746 wetted surface S [m2] 593 bilge keel area SBK [m2] 0 frontal windage area AT [m2] 130 form factor k 0.17 hull roughness kS [10-6m] 150 test No 22837 temperature t [C] 15.0 17.3 mass density [kg/m3] 999.0 998.6 propeller model(s) CP767A/768A

No of blades z 5 diameter D [m] 1.753

VS [kn] PES [kW] PDS [kW] nS [rpm] TS [kN] QS [kNm]

4.00 10 20 67.7 3.3 1.4

5.00 20 38 84.4 5.2 2.2

6.00 34 66 101.7 7.7 3.1

7.00 55 107 119.2 10.7 4.3

8.00 85 159 136.1 14.0 5.6

10.00 176 338 173.7 23.7 9.3

12.00 341 648 213.0 37.8 14.5

13.00 480 914 236.9 48.5 18.4

14.00 638 1207 259.2 59.0 22.2

15.00 825 1567 280.9 71.0 26.6

16.00 1126 2159 308.4 89.9 33.4

VS [kn] DS wS HS JS 0S

4.00 0.515 0.095 0.835 0.942 0.658

5.00 0.512 0.106 0.823 0.933 0.655

6.00 0.514 0.111 0.813 0.924 0.652

7.00 0.512 0.113 0.805 0.917 0.649

8.00 0.532 0.119 0.832 0.912 0.647

10.00 0.520 0.120 0.817 0.892 0.639

12.00 0.526 0.132 0.841 0.861 0.625

13.00 0.526 0.131 0.851 0.840 0.615

14.00 0.529 0.126 0.859 0.831 0.611

15.00 0.527 0.132 0.867 0.816 0.603

16.00 0.522 0.139 0.884 0.786 0.587

CTO S.A. - RH RH-2024/T-003E Page 56

Fig. 32. Propulsion prediction – Draught T=8’3”

V [kn]

PD

[kW] n [rpm]

.0

.8

PROPULSION PREDICTION

ship Ranger IV model M1143

CTO S.A. - RH RH-2024/T-003E Page 57

Self-Propulsion Test – Draught T=8’3”

Fig. 33. Self-propulsion test, running trim & mean sinkage – draught T=8’3”

-0.40

-0.30

-0.20

-0.10

0.00

4.0 6.0 8.0 10.0 12.0 14.0 16.0

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

CTO S.A. - RH RH-2024/T-003E Page 58

STREAMLINES

SHIP DATATEST DATA

draught T 9’ model no. M1143 speed V 14 knots test no. 22826

The streamline (wet paint) test was performed for a single draught of T=9’ and a single speed of 14 knots. The test was focused on positioning the bilge keels and tunnel thruster grids.

The table below presents trajectories for three selected streamlines, by giving their XYZ coordinates (in mm full scale) from aft perpendicular, centreplane and baseplane respectively.

The bilge keels on the model were positioned half way between lines I and II.

STREAMLINE RUN-RESULT OF MEASUMERENT

X from AP ; Y from CP ; Z from BP in [mm]

STATION #5 #6 #7 #8 #9 #10 #11 #12 #13 #14

NO

LINE

NO X 12421 14905 17389 19873 22357 24841 27325 29809 32293 34777

Y 4169 4441 4591 4648 4629 4532 4378 4193 3993 3758

I

Z 810 791 790 782 754 748 791 911 1138 1479

Y 4311 4596 4763 4827 4795 4688 4554 4385 4162 3853

II

Z 937 952 988 998 957 940 1011 1160 1374 1679

Y 4403 4716 4870 4922 4914 4840 4709 4526 4258 3916

III

Z 1020 1077 1111 1113 1103 1127 1206 1344 1567 1868

CTO S.A. - RH RH-2024/T-003E Page 59

III

BPBP

I

7 14129

II

5 13108

CP

II

III

8BP

BP

II

III

Fig. 34. Streamlines at the bilge

CTO S.A. - RH RH-2024/T-003E Page 60

Fig. 35. Photographs of the streamlines

CTO S.A. - RH RH-2024/T-003E Page 61

Fig. 36. Photographs of the streamlines – stations 10-18

CTO S.A. - RH RH-2024/T-003E Page 62

Fig. 37. Photographs of the streamlines – stations 4-10

CTO S.A. - RH RH-2024/T-003E Page 63

RESULTS OF NOMINAL WAKE 3D TEST

TEST SPECIFICATION

TEST No. 22847

SHIP 124m Cadet Training Ship displacement volume 851 m3 draught:

fore 2.743 m aft 2.743 m ship speed 14 kn number of propellers 2

MODEL M1143

scale factor 8.269 propeller diameter 212.00 mm hub diameter 36.00 mm model speed 2.505 m/s

MEASURING DEVICE

3D manipulator PEN-2, 5 hole spherical probe 5HS01 diameter of measured area 233 mm

COORDINATES OF PROPELLER AND MEASURED AREA CENTRE

distance from AP 148.0 mm distance from CP 368.4 mm distance from BP 104.8 mm

APPENDAGES:

shaft lines with brackets, bilge keels, bow thruster tunnel with grids

Where:

AP - after perpendicular

CP - centreplane

BP - baseplane

NOTES:

- twin screw ship; the results are given for the SB propeller

- the chart on the next page is made for PS propeller looking forward

- the X direction is parallel to the propeller axis

CTO S.A. - RH RH-2024/T-003E Page 64

Fig. 38. Wake 3D – distribution of axial and transversal relative velocities in propeller plane – SB

CTO S.A. - RH RH-2024/T-003E Page 65

Fig. 39. Wake 3D – axial component coefficient – extreme and mean values

Fig. 40. Wake 3D, axial component coefficient –circumferential distribution – SB

CTO S.A. - RH RH-2024/T-003E Page 66

Fig. 1. Wake 3D – axial relative velocity components – SB

Fig. 41. Wake 3D –radial relative velocity components – SB

CTO S.A. - RH RH-2024/T-003E Page 67

Fig. 42. Wake 3D – tangential relative velocity component – SB

CTO S.A. - RH RH-2024/T-003E Page 68

Nominal Wake Fraction wx=1-Vx/Vm in the Propeller Plane - SB

Model No.M1143 Test No.22847 TF/TA=331.7/331.7 mm VM=2.505 m/s R=106.0 mm r/R 0.235 0.300 0.400 0.500 0.600 0.700 0.800 0.900 1.000 1.100

0.0 0.223 0.176 0.158 0.167 0.171 0.174 0.185 0.189 0.187 0.237

10.0 0.250 0.162 0.162 0.165 0.183 0.160 0.155 0.179 0.157 0.234

20.0 0.279 0.155 0.153 0.149 0.163 0.150 0.091 0.185 0.178 0.195

30.0 0.304 0.186 0.157 0.157 0.143 0.106 0.162 0.170 0.168 0.247

40.0 0.264 0.220 0.190 0.145 0.084 0.074 0.042 0.033 0.037 0.040

50.0 0.171 0.156 0.140 0.114 0.084 0.064 0.067 0.050 0.059 0.032

60.0 0.114 0.138 0.165 0.136 0.100 0.079 0.097 0.108 0.094 0.090

70.0 0.092 0.164 0.136 0.169 0.139 0.119 0.123 0.125 0.105 0.115

80.0 0.090 0.137 0.149 0.143 0.136 0.142 0.111 0.114 0.110 0.095

90.0 0.079 0.124 0.138 0.133 0.137 0.129 0.112 0.122 0.107 0.088

100.0 0.069 0.130 0.140 0.168 0.122 0.127 0.128 0.091 0.073 0.075

110.0 0.074 0.108 0.161 0.123 0.117 0.133 0.103 0.077 0.061 0.050

120.0 0.112 0.114 0.136 0.113 0.110 0.124 0.122 0.082 0.051 0.047

130.0 0.088 0.105 0.147 0.119 0.083 0.103 0.095 0.067 0.083 0.060

140.0 0.093 0.078 0.120 0.115 0.105 0.087 0.053 0.045 0.047 0.028

150.0 0.073 0.109 0.102 0.112 0.064 0.077 0.063 0.048 0.035 0.039

160.0 0.072 0.098 0.086 0.084 0.045 0.056 0.036 0.033 0.032 0.063

170.0 0.111 0.113 0.084 0.090 0.053 0.061 0.046 0.032 0.034 0.038

180.0 0.061 0.067 0.075 0.081 0.047 0.040 0.034 0.032 0.031 0.029

190.0 0.102 0.073 0.058 0.055 0.045 0.031 0.034 0.037 0.039 0.042

200.0 0.068 0.066 0.044 0.060 0.050 0.033 0.031 0.037 0.032 0.035

210.0 0.077 0.073 0.059 0.066 0.030 0.038 0.035 0.037 0.038 0.033

220.0 0.081 0.082 0.033 0.055 0.036 0.031 0.036 0.037 0.036 0.037

230.0 0.043 0.087 0.082 0.031 0.028 0.031 0.034 0.041 0.040 0.037

240.0 0.031 0.076 0.058 0.038 0.032 0.036 0.037 0.040 0.042 0.074

250.0 0.100 0.070 0.058 0.038 0.039 0.030 0.039 0.039 0.045 0.043

260.0 0.086 0.062 0.066 0.040 0.043 0.036 0.051 0.041 0.041 0.040

270.0 0.084 0.097 0.052 0.051 0.036 0.037 0.044 0.041 0.047 0.043

280.0 0.042 0.096 0.096 0.081 0.050 0.051 0.042 0.046 0.043 0.047

290.0 0.073 0.081 0.084 0.095 0.047 0.053 0.044 0.047 0.043 0.047

300.0 0.076 0.094 0.107 0.052 0.061 0.054 0.049 0.049 0.043 0.059

310.0 0.160 0.125 0.100 0.058 0.070 0.064 0.054 0.057 0.060 0.067

320.0 0.213 0.184 0.147 0.103 0.076 0.074 0.078 0.066 0.065 0.078

330.0 0.175 0.152 0.135 0.109 0.099 0.119 0.111 0.109 0.144 0.119

340.0 0.177 0.164 0.146 0.124 0.164 0.148 0.203 0.208 0.176 0.150

350.0 0.192 0.178 0.147 0.140 0.185 0.190 0.189 0.203 0.168 0.174

360.0 0.223 0.176 0.158 0.167 0.171 0.174 0.185 0.189 0.187 0.237

Characteristical Values of the Wake: w.max, w.min, w.r, w.n w.max 0.304 0.220 0.190 0.169 0.185 0.190 0.203 0.208 0.187 0.247 w.min 0.031 0.062 0.033 0.031 0.028 0.030 0.031 0.032 0.031 0.028 w.r 0.122 0.119 0.113 0.102 0.088 0.085 0.082 0.081 0.076 0.081 w.n 0.121 0.117 0.113 0.106 0.100 0.096 0.093 0.090 0.088

CTO S.A. - RH RH-2024/T-003E Page 69

Axial, Radial & Tangential Components of Nominal Velocity Field - SB r/R=0.23 r/R=0.30 r/R=0.40 fi Vx/Vm Vt/Vm Vr/Vm Vx/Vm Vt/Vm Vr/Vm Vx/Vm Vt/Vm Vr/Vm deg - - - - - - - - -

0 0.777 -0.022 -0.129 0.824 0.015 -0.030 0.842 0.026 0.027

10 0.750 0.026 -0.139 0.838 0.046 -0.025 0.838 0.043 0.024

20 0.721 0.075 -0.172 0.845 0.061 -0.043 0.847 0.051 0.030

30 0.696 0.099 -0.200 0.814 0.063 -0.078 0.843 0.047 0.001

40 0.736 0.116 -0.184 0.780 0.127 -0.063 0.810 0.095 -0.027

50 0.829 0.128 -0.144 0.844 0.143 -0.047 0.860 0.098 -0.017

60 0.886 0.153 -0.111 0.862 0.129 -0.058 0.835 0.099 -0.009

70 0.908 0.175 -0.108 0.836 0.140 -0.034 0.864…