DI-029_REV_2_STACK_GAS_FLOW_ANALYSIS_REPORT.pdf

DI-029 Stack Gas Flow Analysis 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. 1

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-00100

DI-029 Stack Gas Flow Analysis 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

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. 2

TABLE OF CONTENTS

LIST OF TABLES

LIST OF FIGURES

ACRONYMS AND ABBREVIATIONS

REVISION TABLE

SUBMISSION SUMMARY

A. METHODOLOGY, INPUTS, ASSUMPTIONS & INTRODUCTION

B. BOUNDARY LAYER

C. ASSUMPTIONS

D. STACK CONFIGURATION

E. PLUME TRAJECTORY RESULTS SUMMARY - MAIN ENGINE

F. PLUME TRAJECTORY RESULTS SUMMARY -DG SET

G. CONCLUSION

H. REFERENCES

APPENDIX – A: BOUNDARY LAYER HEIGHT DETAILED RESULTS

APPENDIX – B: PLUME TRAJECTORY DETAILED RESULTS FOR 35KN, 20KN, 10KN & 0KN

SPEED CASES

I) PLUME TRAJECTORY CALCULATIONS - MAIN ENGINE

II) PLUME TRAJECTORY CALCULATIONS – DG SET

APPENDIX – C: ENGINE DATA

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. 3

LIST OF TABLES

Table 1: Power Conditions

Table 2: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =35 Kn

Table 3: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =20 Kn

Table 4: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =10 Kn

Table 5: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =0 Kn

Table 6: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =35 Kn

Table 7: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =20 Kn

Table 8: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =10 Kn

LIST OF FIGURES

Figure 1: YAW Angle and Sign Convention (VT is true wind speed)

Figure 2: RANGER IV’s Boundary Layer

Figure 3: Vessel Deck house Beam and Pilot House Bulwark Dimensional Details (Fwd View)

Figure 4: Stack Beam and Height above the Datum Dimensional Details (Aft View)

Figure 5: Influence of Stack Design on Interpenetration

Figure 7: Exhaust Duct (Pipe) Extension above Stack

Figure 8: Down Angle of 20 deg at Stack Casing Top

Figure 9: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Figure 10: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Figure 11: Down Angle of 20 deg at Stack Casing Top

Figure 12: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Figure 13: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Figure 14: Down Angle of 20 deg at Stack Casing Top

Figure 15: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Figure 16: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Figure 17: Down Angle of 20 deg at Stack Casing Top

Figure 18: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Figure 19: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Figure 20: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-DG SET

Figure 21: Plume Center Line Trajectory (270 Deg yaw angle)- DG SET

Figure 22: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-DG SET

Figure 23: Plume Center Line Trajectory (270 Deg yaw angle)- DG SET

Figure 24: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-DG SET

Figure 25: Plume Center Line Trajectory (270 Deg yaw angle)- DG SET

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. 4

ACRONYMS AND ABBREVIATIONS

ACRONYM DESCRIPTION

g Acceleration due to gravity θ YAW angle

Ds Main engine exhaust pipe internal diameter

RS Main engine exhaust pipe internal radius

RI DG SET exhaust pipe internal radius α Universal Constant

VT True wind speed

Vw Average horizontal crosswind velocity (Relative)

VA Ship speed

VS Velocity of exhaust gas

TS Main engine average stack gas exhaust temperature

TI DG SET exhaust gas temperature

Fr Stack exit Froude number kn Knot

QS Main engine exhaust flow

QI DG SET exhaust flow r Plume radius b Ship beam

B Stack casing width at the Base

H Height of stack exit above datum / B ht Turbulent zone height above datum/B h’ Interpenetration/B

P Interpenetration fraction allowed

X Horizontal distance downwind from stack exit centerline

Y Vertical distance above stack exit

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. 5

REVISION DESCRIPTION DATE AUTHOR

0 Initial submission 04-03-2024 RRP 1 Updated to address Government comments

07-03-2024 RRP

2 Minor clarifications 04-04-2025 VOLPE

REVISION TABLE

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

SUBMISSION SUMMARY

This document is submitted by Loch Harbour Group, 3060 Williams Drive, Suite 510, Fairfax, Virginia 22031, to satisfy CLIN 00100 DI-029 Stack Gas & Flow Analysis Report, of Contract

No. 6913G623P800007.

The calculations contained herewith are based on the formulas derived in the paper “Stack

Design Technology for Naval and Merchant Ships", Baham and McCallum, SNAME Transactions, Volume 85, 1977, pages 324-349. The calculations were carried out for the following power conditions in Table 1 to identify that the minimization of impact of exhaust stack gas on the topside arrangements, working deck areas, other exterior deck areas, ventilation system intakes, and exterior doorways.

Table 1: Power Conditions Calculated at Time of Analysis

Power Conditions Main Engine rating DG Set rating

Underway at 14 knots 1019.2 kW 121.2 kW

Underway at 7 knots 174.4 kW 115 kW

At Dock 62.4 kW 105 kW

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 7

A. METHODOLOGY, INPUTS, ASSUMPTIONS & INTRODUCTION

Stack gas flow analysis calculations were computed in reference to the “Stack Design

Technology for Naval and Merchant Ships”, Baham and McCallum, SNAME Transactions, Volume 85, 1977, pages 324-349. The FY75 Auxiliary tanker (AO-117) stack configuration is the closest match to the Ranger IV. Hence these calculations are presented using the similar methodology used for AO-117 including the plume trajectory. Graphs are plotted for various cases including different vessel speed conditions and different yaw angles by considering various wind speeds as shown below.

Following are the inputs used in the calculations:

1. Wind velocity (0, 10, 20, 35 knots).

2. Vessel speed (0, 7, 14 knots).

3. Stack Design data in reference to the General Arrangement.

4. Caterpillar data sheet (See Appendix-C) with the exhaust temperature and flow rate for different operations conditions.

Yaw angle () and sign convention:

Yaw angle is the angle of the wind relative to the ship’s heading. Head wind is regarded as 180 deg yaw angle and tail wind is considered as 0 deg yaw angle. The below figure shows the sign convention used for the yaw angle.

Figure 1: YAW Angle and Sign Convention (VT is true wind speed)

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. 8

B. BOUNDARY LAYER

Boundary Layer:

Ship’s boundary layer height was computed by using “Reference-1 & Reference-2” Stack Design Technology for Naval and Merchant Ships”, Baham and McCallum, SNAME Transactions, Volume 85, 1977, pages 324-349”. Stack height calculations were done pertinent to the design procedure described in the above-mentioned paper.

Below picture shows the RANGER – 4 vessel’s boundary layer plot, exhaust stack height and exhaust outlet pipe. The stack gases are discharged to atmosphere above the ship’s boundary layer.

Figure 2: RANGER IV’s Boundary Layer

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 9

Note: See Appendix-A for the detailed calculations.

Turbulent zone height above datum (h) = 22.23 ft

C. ASSUMPTIONS

1. The calculations are provided using stack shaped “top rectangular uptake 22.5 deg” from reference #1.

2. Analysis is carried out considering single engine operating for different load conditions according to vessel speed (14 kn, 7 kn, and At dock).

3. In the vessel Ranger IV, each engine and DG SET have separate exhaust pipe run through stack.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 10

D. STACK CONFIGURATION

Boundary Layer Height: The deck house configuration used in the below calculations is shown below Figure 3, Figure 4. Calculations are done according to Reference 1 & Reference 2.

Figure 3: Vessel Deck house Beam and Pilot House Bulwark Dimensional Details (Fwd View)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 11

Figure 4: Stack Beam and Height above the Datum Dimensional Details (Aft View)

Deckhouse beam (b1) = 35.99 ft

Deckhouse beam (b2) = 32.00 ft (Average of 28’ and 36’)

Bulwark height above pilot house = 3.44 ft

Boundary layer height = Boundary layer max*Deckhouse beam

Case 1: Considering Max. Beam of Vessel

Boundary layer max = 0.42 (from test number 74, Ref .2, pg 1-24)

Boundary layer height = 0.42*35.99

= 15.12 ft

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 12

Boundary layer height after adding bulwark (H1) = 18.56 ft

Case 2: Considering Super Structure Beam of Vessel

Boundary layer max = 0.68

(from test number 9, Ref .2, pg 1-26)

Boundary layer height = 0.65*32.00

= 21.76 ft

Boundary layer height after adding bulwark (H2) = 25.20 ft

Boundary layer height (ht) = (18.56+25.20)/2

= 21.88 ft

(average value of two cases)

Stack Configuration

VW = 78.32 fps (Yaw angle 30 deg)

VS/VW = 0.23 (VS= 7kn, Engines running at max. load)

Figure 5: Influence of Stack Design on Interpenetration

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 13 h' = -0.8 (From Fig.10)

(Stack assumed as a top rectangular uptake 22.5 deg)

P = 0.5

H = 13.88/B ht = 34.44/B

From formula: h’=-(ht*(1-P)-H) = 3.42 ft

Stack Beam Required (B) = 4.28 ft

Provided Stack Beam at Datum = 6.00 ft

Exhaust Duct (pipe) Extension Above Stack

RANGER IV’s down looking angle is 22 ½ deg which is falling under the rule 2 requirements, applicable to all angles of yaw between ±30 deg. as per ref #1; the rule 2 needs to be satisfied for the value of e = 0.475 as given in Table 5 (page 336) of ref #1, for this type of vessel to determine the minimum uptake extension above stack.

Min. uptake extension above stack = e x B

= 0.475*4.02

= 1.912 ft

Where;

e = Uptake duct extension/B

B = 4.02 ft

From Figure 6 provided extension of exhaust pipe above the stack is “2.075 ft” .

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 14

Figure 6: Exhaust Duct (Pipe) Extension above Stack

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 15

E. PLUME TRAJECTORY RESULTS SUMMARY - MAIN ENGINE

Case I : Results with True Wind Speed (35 Knots)

Table 2: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =35 Kn

Ship Speed

(VA)

Ts Engine

Operating Load %

Exhaust Flow

Vs Vs/Vw

Fr

(Knots) (Deg F) (CFM) fpm fps θ=0 deg θ=45 deg θ=90 deg θ=135 deg θ=180 deg

14 1086.7 91.0 5973.7 6009.6 100.16 1.21 1.37 1.85 2.51 2.83 6.18

7 859.4 15.0 1063.9 1070.3 17.84 0.25 0.27 0.31 0.36 0.38 1.25

0 739.9 5.0 407.5 409.94 6.83 0.12 0.12 0.12 0.12 0.12 0.52

Note: See Appendix-B for detailed calculations of all the cases.

Figure 7 shows the vessel stack with a down look angle of 20 deg which does not intersect the centerline of the vessel. As per the ref #1 document, Rule 1 does not apply to RANGER IV.

This means that the smoke plume passes through most of ship’s decks before penetrating the turbulent zone.

Figure 7: Down Angle of 20 deg at Stack Casing Top

Plume trajectory from stack pipe exit is shown in Figure 8 & Figure 9 for different yaw angles (0 deg, 180 deg and 270 deg) to identify that the trajectory clears the vessel’s deck i.e. topside arrangements, working deck areas, other exterior deck areas, ventilation system intakes, and exterior doorways.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 16

Figure 8: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Yaw angle of 270 deg is presented below since it is considered as the worst-case scenario when compared to the 90 deg due to the stack arrangement in the transverse direction.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 17

Figure 9: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Graphical Representation of Plume Trajectory

Also shown below is the plume trajectory in graphical format for 45/225 deg and 135/315 deg yaw angles. Linear graphs are shown for different vessel speed conditions. The stack exit height is around 22.23 ft above the pilot house top. The plume trajectory shown is with reference to the stack exit height. The graphs indicate that the plume path clears the vessel’s deck in all these cases.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 18

Graph 1: Plume Trajectory at YAW (45/225, 135/315) for 14kn vessel speed -ME

Graph 2: Plume Trajectory at YAW (45/225, 135/315) for 7 kn vessel speed -ME

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

0 10 20 30 40 50 60 70 80

Y-ft

H

IG

H

T A

B O

V E

EX

H

A

SU

T O

U

TL

ET

P

IP

E)

X - ft (DISTANCE FROM EXHAUST OUTLET IN THE DIRECTION OF GAS PATH)

Vs/Vw = 1.37 (yaw 45/225)

Vs/Vw = 2.51 (yaw 135/315)

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 0.27 (yaw 45/225)

Vs/Vw = 0.36 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 19

Graph 3: Plume Trajectory at YAW (45/225, 135/315) for 0 kn vessel speed -ME

(At 0 kn same for both YAE 45/225 & 135/315)

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 0.12 (yaw 45/225)

Vs/Vw = 0.12 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 20

Case II : Results with True Wind Speed (20 Knots)

Table 3: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =20 Kn

Ship Speed

(VA)

Ts Engine

Operating Load %

Exhaust Flow

Vs Vs/Vw

Fr

(Knots) (Deg F) (CFM) fpm fps θ=0 deg θ=45 deg θ=90 deg θ=135 deg θ=180 deg

14 1086.7 91.0 5973.7 6009.6 100.16 1.75 2.18 4.15 7.94 9.89 6.18

7 859.4 15.0 1063.9 1070.3 17.84 0.39 0.43 0.56 0.73 0.81 1.25

0 739.9 5.0 407.5 409.94 6.83 0.20 0.20 0.20 0.20 0.20 0.52

Figure 3 shows the vessel stack with a down look angle of 20 deg which does not intersect the centerline of the vessel. As per the ref #1 document, Rule 1 does not apply to RANGER IV.

Figure 10: Down Angle of 20 deg at Stack Casing Top

Plume trajectory from stack pipe exit is shown in Figure 10 & Figure 11 for different yaw angles

(0 deg, 180 deg and 270 deg) to identify that the trajectory clears the vessel’s deck i.e. topside

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 21

Figure 11: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Yaw angle of 270 deg is presented below since it is considered as the worst-case scenario when compared to the 90 deg due to the stack arrangement in the transverse direction.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 22

Figure 12: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Also shown below is the plume trajectory in graphical format for 45/225 deg and 135/315 deg yaw angles. Linear graphs are shown for different vessel speed conditions. The stack exit height is around 22.23 ft above the pilot house top. The plume trajectory shown is with reference to the stack

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 23

Graph 4: Plume Trajectory at YAW (45/225, 135/315) for 14kn vessel speed -ME

Graph 5: Plume Trajectory at YAW (45/225, 135/315) for 7 kn vessel speed -ME

0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00 8.50 9.00 9.50

10.00 10.50 11.00 11.50 12.00

0 10 20 30 40 50 60 70 80

Y-ft

H

IG

H

T A

B O

V E

EX

H

A

SU

T O

U

TL

ET

P

IP

E)

X - ft (DISTANCE FROM EXHAUST OUTLET IN THE DIRECTION OF GAS PATH)

Vs/Vw = 2.18 (yaw 45/225)

Vs/Vw = 7.94 (yaw 135/315)

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 0.43 (yaw 45/225)

Vs/Vw = 0.73 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 24

Graph 6: Plume Trajectory at YAW (45/225, 135/315) for 0 kn vessel speed -ME

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 0.20 (yaw 45/225)

Vs/Vw = 0.20 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 25

Case III : Results with True Wind Speed (10 Knots)

Table 4: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =10 Kn

Ship Speed

(VA)

Ts Engine

Operating Load %

Exhaust Flow

Vs Vs/Vw

Fr

(Knots) (Deg F) (CFM) fpm fps θ=0 deg θ=45 deg θ=90 deg θ=135 deg θ=180 deg

14 1086.7 91.0 5973.7 6009.6 100.16 2.47 5.25 1.00 4.20 14.84 6.18

7 859.4 15.0 1063.9 1070.3 17.84 0.62 0.77 1.48 2.83 3.52 1.25

0 739.9 5.0 407.5 409.94 6.83 0.40 0.40 0.40 0.40 0.40 0.52 centerline of the vessel. As per the ref #1 document, Rule 1 does not apply to RANGER IV.

Figure 13: Down Angle of 20 deg at Stack Casing Top

Plume trajectory from stack pipe exit is shown in Figure 12 & Figure 13 for different yaw angles

(0 deg, 180 deg and 270 deg) to identify that the trajectory clears the vessel’s deck i.e. topside

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 26

Figure 14: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Yaw angle of 270 deg is presented below since it is considered as the worst-case scenario when compared to the 90 deg due to the stack arrangement

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 27

Figure 15: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Also shown below is the plume trajectory in graphical format for 45/225 deg and 135/315 deg yaw angles. Linear graphs are shown for different vessel speed conditions. The stack exit height is around 22.23 ft above the pilot house top. The plume trajectory shown is with reference to the stack

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 28

Graph 7: Plume Trajectory at YAW (45/225, 135/315) for 14kn vessel speed -ME

Graph 8: Plume Trajectory at YAW (45/225, 135/315) for 7 kn vessel speed -ME

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

7.50

8.00

8.50

9.00

0 10 20 30 40 50 60 70 80

Y-ft

H

IG

H

T A

B O

V E

EX

H

A

SU

T O

U

TL

ET

P

IP

E)

X - ft (DISTANCE FROM EXHAUST OUTLET IN THE DIRECTION OF GAS PATH)

Vs/Vw = 5.25 (yaw 45/225)

Vs/Vw = 4.20 (yaw 135/315)

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 0.77 (yaw 45/225)

Vs/Vw = 2.83 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 29

Graph 9: Plume Trajectory at YAW (45/225, 135/315) for 0 kn vessel speed -ME

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 0.40 (yaw 45/225)

Vs/Vw = 0.40 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 30

Case IV : Results with True Wind Speed (0 Knots)

Table 5: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =0 Kn

Ship Speed

(VA)

Ts Engine

Operating Load %

Exhaust Flow

Vs Vs/Vw

Fr

(Knots) (Deg F) (CFM) fpm fps θ=0 deg θ=45 deg θ=90 deg θ=135 deg θ=180 deg

14 1086.7 91.0 5973.7 6009.64 100.16 4.24 41962.21 1.00 1.00 -4.24 6.18

7 859.4 15.0 1063.9 1070.34 17.84 1.51 7473.64 1.00 1.00 -1.51 1.25

0 739.9 5.0 407.5 409.942 6.83 4048.06 4048.06 4048.06 4048.06 4048.06 0.52 centerline of the vessel. As per the ref #1 document, Rule 1 does not apply to RANGER IV.

Figure 16: Down Angle of 20 deg at Stack Casing Top

Plume trajectory from stack pipe exit is shown in Figure 16 & Figure 17 for different yaw angles

(0 deg, 180 deg and 270 deg) to identify that the trajectory clears the vessel’s deck i.e. topside

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 31

Figure 17: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-ME

Yaw angle of 270 deg is presented below since it is considered as the worst-case scenario when compared to the 90 deg due to the stack arrangement

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 32

Figure 18: Plume Center Line Trajectory (270 Deg yaw angle)-ME

Also shown below is the plume trajectory in graphical format for 45/225 deg and 135/315 deg yaw angles. Linear graphs are shown for different vessel speed conditions. The stack exit height is around 22.23 ft above the pilot house top. The plume trajectory shown is with reference to the stack

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 33

Graph 10: Plume Trajectory at YAW (45/225, 135/315) for 14kn vessel speed -ME

Graph 11: Plume Trajectory at YAW (45/225, 135/315) for 7 kn vessel speed -ME

0.003.006.009.0012.0015.0018.0021.0024.0027.0030.0033.0036.0039.0042.0045.0048.0051.0054.0057.0060.0063.0066.0069.0072.0075.0078.0081.0084.0087.0090.0093.0096.0099.00102.00105.00108.00111.00114.00117.00120.00123.00126.00129.00132.00135.00138.00141.00144.00147.00150.00153.00156.00159.00162.00165.00168.00171.00174.00177.00180.00183.00186.00189.00192.00195.00198.00201.00204.00207.00210.00213.00216.00219.00222.00225.00228.00231.00234.00237.00240.00243.00246.00249.00252.00255.00258.00261.00264.00267.00270.00273.00276.00279.00282.00285.00288.00291.00294.00297.00300.00303.00306.00309.00312.00315.00318.00321.00324.00327.00330.00333.00336.00339.00342.00345.00348.00351.00354.00357.00360.00363.00366.00369.00372.00375.00378.00381.00384.00387.00390.00393.00396.00399.00402.00405.00408.00411.00414.00417.00420.00423.00426.00429.00432.00435.00438.00441.00444.00447.00450.00453.00456.00459.00462.00465.00468.00471.00474.00477.00480.00483.00486.00489.00492.00495.00498.00501.00504.00507.00510.00513.00516.00519.00522.00525.00528.00531.00534.00537.00540.00543.00546.00549.00552.00555.00558.00561.00564.00567.00570.00573.00576.00579.00582.00585.00588.00591.00594.00597.00600.00603.00606.00609.00612.00615.00618.00621.00624.00627.00630.00633.00636.00639.00642.00645.00648.00651.00654.00657.00660.00663.00666.00669.00672.00675.00678.00681.00684.00687.00690.00693.00696.00699.00702.00705.00708.00711.00714.00717.00720.00723.00726.00729.00732.00735.00738.00741.00744.00747.00750.00753.00756.00759.00762.00765.00768.00771.00774.00777.00780.00783.00786.00789.00792.00795.00798.00801.00804.00807.00810.00813.00816.00819.00822.00825.00828.00831.00834.00837.00840.00843.00846.00849.00852.00855.00858.00861.00864.00867.00870.00873.00876.00879.00882.00885.00888.00891.00894.00897.00900.00903.00906.00909.00912.00915.00918.00921.00924.00927.00930.00933.00936.00939.00942.00945.00948.00951.00954.00957.00960.00963.00966.00969.00972.00975.00978.00981.00984.00987.00990.00993.00996.00999.001002.001005.001008.001011.001014.001017.001020.001023.001026.001029.001032.001035.001038.001041.001044.001047.001050.001053.001056.001059.001062.001065.001068.001071.001074.001077.001080.001083.001086.001089.001092.001095.001098.001101.001104.001107.001110.001113.001116.001119.001122.001125.001128.001131.001134.001137.001140.001143.001146.001149.001152.001155.001158.001161.001164.001167.001170.001173.001176.001179.001182.001185.001188.001191.001194.001197.001200.001203.001206.001209.001212.001215.001218.001221.001224.001227.001230.001233.001236.001239.001242.001245.001248.001251.001254.001257.001260.001263.001266.001269.001272.001275.001278.001281.001284.001287.001290.001293.001296.001299.001302.001305.001308.001311.001314.001317.001320.001323.001326.001329.001332.001335.001338.001341.001344.001347.001350.001353.001356.001359.001362.001365.001368.001371.001374.001377.001380.001383.001386.001389.001392.001395.001398.001401.001404.001407.001410.001413.001416.001419.001422.001425.001428.001431.001434.001437.001440.001443.001446.001449.001452.001455.001458.001461.001464.001467.001470.001473.001476.001479.001482.001485.001488.001491.001494.001497.001500.00

0 10 20 30 40 50 60 70 80

Y-ft

H

IG

H

T A

B O

V E

EX

H

A

SU

T O

U

TL

ET

P

IP

E)

X - ft (DISTANCE FROM EXHAUST OUTLET IN THE DIRECTION OF GAS PATH)

Vs/Vw = 41962.21 (yaw 45/225)

Vs/Vw = 1.00 (yaw 135/315)

0.001.202.403.604.806.007.208.409.6010.8012.0013.2014.4015.6016.8018.0019.2020.4021.6022.8024.0025.2026.4027.6028.8030.0031.2032.4033.6034.8036.0037.2038.4039.6040.8042.0043.2044.4045.6046.8048.0049.2050.4051.6052.8054.0055.2056.4057.6058.8060.0061.2062.4063.6064.8066.0067.2068.4069.6070.8072.0073.2074.4075.6076.8078.0079.2080.4081.6082.8084.0085.2086.4087.6088.8090.0091.2092.4093.6094.8096.0097.2098.4099.60100.80102.00103.20104.40105.60106.80108.00109.20110.40111.60112.80114.00115.20116.40117.60118.80120.00121.20122.40123.60124.80126.00127.20128.40129.60130.80132.00133.20134.40135.60136.80138.00139.20140.40141.60142.80144.00145.20146.40147.60148.80150.00151.20152.40153.60154.80156.00157.20158.40159.60160.80162.00163.20164.40165.60166.80168.00169.20170.40171.60172.80174.00175.20176.40177.60178.80180.00181.20182.40183.60184.80186.00187.20188.40189.60190.80192.00193.20194.40195.60196.80198.00199.20200.40201.60202.80204.00205.20206.40207.60208.80210.00211.20212.40213.60214.80216.00217.20218.40219.60220.80222.00223.20224.40225.60226.80228.00229.20230.40231.60232.80234.00235.20236.40237.60238.80240.00241.20242.40243.60244.80246.00247.20248.40249.60250.80252.00253.20254.40255.60256.80258.00259.20260.40261.60262.80264.00265.20266.40267.60268.80270.00271.20272.40273.60274.80276.00277.20278.40279.60280.80282.00283.20284.40285.60286.80288.00289.20290.40291.60292.80294.00295.20296.40297.60298.80300.00301.20302.40303.60304.80306.00307.20308.40309.60310.80312.00313.20314.40315.60316.80318.00319.20320.40321.60322.80324.00325.20326.40327.60328.80330.00331.20332.40333.60334.80336.00337.20338.40339.60340.80342.00343.20344.40345.60346.80348.00349.20350.40351.60352.80354.00355.20356.40357.60358.80360.00361.20362.40363.60364.80366.00367.20368.40369.60370.80372.00373.20374.40375.60376.80378.00379.20380.40381.60382.80384.00385.20386.40387.60388.80390.00391.20392.40393.60394.80396.00397.20398.40399.60400.80402.00403.20404.40405.60406.80408.00409.20410.40411.60412.80414.00415.20416.40417.60418.80420.00421.20422.40423.60424.80426.00427.20428.40429.60430.80432.00433.20434.40435.60436.80438.00439.20440.40441.60442.80444.00445.20446.40447.60448.80450.00451.20452.40453.60454.80456.00457.20458.40459.60460.80462.00463.20464.40465.60466.80468.00469.20470.40471.60472.80474.00475.20476.40477.60478.80480.00481.20482.40483.60484.80486.00487.20488.40489.60490.80492.00493.20494.40495.60496.80498.00499.20500.40501.60502.80504.00505.20506.40507.60508.80510.00511.20512.40513.60514.80516.00517.20518.40519.60520.80522.00523.20524.40525.60526.80528.00529.20530.40531.60532.80534.00535.20536.40537.60538.80540.00541.20542.40543.60544.80546.00547.20548.40549.60550.80552.00553.20554.40555.60556.80558.00559.20560.40561.60562.80564.00565.20566.40567.60568.80570.00571.20572.40573.60574.80576.00577.20578.40579.60580.80582.00583.20584.40585.60586.80588.00589.20590.40591.60592.80594.00595.20596.40597.60598.80600.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 7473.64 (yaw 45/225)

Vs/Vw = 1.00 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 34

Graph 12: Plume Trajectory at YAW (45/225, 135/315) for 0 kn vessel speed -ME

0123456789 101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317318319320321322323324325326327328329330331332333334335336337338339340341342343344345346347348349350351352353354355356357358359360361362363364365366367368369370371372373374375376377378379380381382383384385386387388389390391392393394395396397398399400401402403404405406407408409410411412413414415416417418419420421422423424425426427428429430431432433434435436437438439440441442443444445446447448449450451452453454455456457458459460461462463464465466467468469470471472473474475476477478479480481482483484485486487488489490491492493494495496497498499500

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 4048.06 (yaw 45/225)

Vs/Vw = 4048.06 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 35

F. PLUME TRAJECTORY RESULTS SUMMARY -DG SET

Case I: Results with True Wind Speed (35 Knots)

Calculations are done by considering DG SET is running at full load for all vessel speeds.

Table 6: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =35 Kn

Ship Speed

(VA)

Ts DG Set

Operating Load %

Exhaust Flow

Vs Vs/Vw

Fr

(Knots) (Deg F) (CFM) fpm fps θ=0 deg θ=45 deg θ=90 deg θ=135 deg θ=180 deg

14 936.38 96.39 909.32 9186.9 153.12 1.85 2.09 2.83 3.83 4.32 44.59

7 888.78 91.36 862.94 8718.3 145.31 2.05 2.17 2.51 2.90 3.07 43.53

0 901.9 85.63 852.6 8613.9 143.56 2.43 2.43 2.43 2.43 2.43 42.67

Plume trajectory from stack pipe exit is shown in Figure 19 & Figure 19Figure 20 for different yaw angles (0 deg, 180 deg and 270 deg) to identify that the trajectory clears the vessel’s deck i.e. topside arrangements, working deck areas, other exterior deck areas, ventilation system intakes, and exterior doorways.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 36

Figure 19: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-DG SET

Yaw angle of 270 deg is shown below since it is considered as the worst-case scenario when compared to the 90 deg due to the stack arrangement in the transverse direction.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 37

Figure 20: Plume Center Line Trajectory (270 Deg yaw angle)- DG SET

Also shown below is the plume trajectory in graphical format for 45/225 deg and 135/315 deg yaw angles. Linear graphs are shown for different vessel speed conditions. The stack exit height is around 22.23 ft above the pilot house top. The plume trajectory shown is with reference to the stack

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 38

Graph 13: Plume Trajectory at YAW (45/225, 135/315) for 14kn vessel speed -ME

Graph 14: Plume Trajectory at YAW (45/225, 135/315) for 7 kn vessel speed -ME

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

0 10 20 30 40 50 60 70 80

Y-ft

H

IG

H

T A

B O

V E

EX

H

A

SU

T O

U

TL

ET

P

IP

E)

X - ft (DISTANCE FROM EXHAUST OUTLET IN THE DIRECTION OF GAS PATH)

Vs/Vw = 2.09 (yaw 45/225)

Vs/Vw = 3.83 (yaw 135/315)

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 2.17 (yaw 45/225)

Vs/Vw = 2.90 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 39

Graph 15: Plume Trajectory at YAW (45/225, 135/315) for 0 kn vessel speed -ME

1.00

1.50

2.00

2.50

3.00

3.50

4.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 2.43 (yaw 45/225)

Vs/Vw = 2.43 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 40

Case II: Results with True Wind Speed (20 Knots)

Calculations are done by considering DG SET is running at full load for all vessel speeds.

Table 7: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =20 Kn

Ship Speed

(VA)

Ts DG Set

Operating Load %

Exhaust Flow

Vs Vs/Vw

Fr

(Knots) (Deg F) (CFM) fpm fps θ=0 deg θ=45 deg θ=90 deg θ=135 deg θ=180 deg

14 936.38 96.39 909.32 9186.9 153.12 2.67 3.33 6.35 12.13 15.12 44.59

7 888.78 91.36 862.94 8718.3 145.31 3.19 3.54 4.60 5.97 6.62 43.53

0 901.9 85.63 852.6 8613.9 143.56 4.25 4.25 4.25 4.25 4.25 42.67

Plume trajectory from stack pipe exit is shown in Figure 21 & Figure 22 for different yaw angles (0 deg, 180 deg and 270 deg) to identify that the trajectory clears the vessel’s deck i.e.

topside arrangements, working deck areas, other exterior deck areas, ventilation system intakes, and exterior doorways.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 41

Figure 21: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-DG SET

Yaw angle of 270 deg is shown below since it is considered as the worst-case scenario when compared to the 90 deg due to the stack arrangement in

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 42

Figure 22: Plume Center Line Trajectory (270 Deg yaw angle)- DG SET

Also shown below is the plume trajectory in graphical format for 45/225 deg and 135/315 deg yaw angles. Linear graphs are shown for different vessel speed conditions. The stack exit height is approx. 22.23 ft above the pilot house top. The plume trajectory shown is with reference to the stack

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 43

Graph 16: Plume Trajectory at YAW (45/225, 135/315) for 14kn vessel speed -ME

Graph 17: Plume Trajectory at YAW (45/225, 135/315) for 7 kn vessel speed -ME

0.50 1.00 1.50 2.00 2.50 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00 8.50 9.00 9.50

10.00 10.50 11.00 11.50 12.00

0 10 20 30 40 50 60 70 80

Y-ft

H

IG

H

T A

B O

V E

EX

H

A

SU

T O

U

TL

ET

P

IP

E)

X - ft (DISTANCE FROM EXHAUST OUTLET IN THE DIRECTION OF GAS PATH)

Vs/Vw = 3.33 (yaw 45/225)

Vs/Vw = 12.13 (yaw 135/315)

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

7.50

8.00

8.50

9.00

9.50

10.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 3.54 (yaw 45/225)

Vs/Vw = 5.97 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 44

Graph 18: Plume Trajectory at YAW (45/225, 135/315) for 0 kn vessel speed -ME

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

7.50

8.00

8.50

9.00

9.50

10.00

0 10 20 30 40 50 60 70 80

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 4.25 (yaw 45/225)

Vs/Vw = 4.25 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 45

Case III: Results with True Wind Speed (10 Knots)

Calculations are done by considering DG SET is running at full load for all vessel speeds.

Table 8: Velocity Ratios for Different Vessel Speeds and yaw angles (ME) at VT =10 Kn

Ship Speed

(VA)

Ts DG Set

Operating Load %

Exhaust Flow

Vs Vs/Vw

Fr

(Knots) (Deg F) (CFM) fpm fps θ=0 deg θ=45 deg θ=90 deg θ=135 deg θ=180 deg

14 936.4 96.4 909.3 9186.9 153.1 3.8 8.0 9.1 10.7 22.7 44.6

7 888.8 91.4 862.9 8718.3 145.3 5.1 6.3 12.1 23.0 28.7 43.5

0 901.9 85.6 852.6 8613.9 143.6 8.5 8.5 8.5 8.5 8.5 42.7

Plume trajectory from stack pipe exit is shown in Figure 23 & 24 for different yaw angles (0 deg, 180 deg and 270 deg) to identify that the trajectory clears the vessel’s deck i.e. topside

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 46

Figure 23: Plume Center Line Trajectory (0 Deg & 180 Deg yaw angle)-DG SET

Yaw angle of 270 deg is shown below since it is considered as the worst-case scenario when compared to the 90 deg due to the stack arrangement in

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 47

Figure 24: Plume Center Line Trajectory (270 Deg yaw angle)- DG SET

Also shown below is the plume trajectory in graphical format for 45/225 deg and 135/315 deg yaw angles. Linear graphs are shown for different vessel speed conditions. The stack exit height is around 22.23 ft above the pilot house top. The plume trajectory shown is with reference to the stack

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 48

Graph 19: Plume Trajectory at YAW (45/225, 135/315) for 14kn vessel speed -ME

Graph 20: Plume Trajectory at YAW (45/225, 135/315) for 7 kn vessel speed -ME

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

7.50

8.00

8.50

9.00

9.50

10.00

0.00 4.00 8.00 12.00

Y-ft

H

IG

H

T A

B O

V E

EX

H

A

SU

T O

U

TL

ET

P

IP

E)

X - ft (DISTANCE FROM EXHAUST OUTLET IN THE DIRECTION OF GAS PATH)

Vs/Vw = 8.0 (yaw 45/225)

Vs/Vw = 10.7 (yaw 135/315)

0.00

0.50

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

7.50

8.00

8.50

9.00

9.50

10.00

0.00 4.00 8.00 12.00 16.00 20.00

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 6.3 (yaw 45/225)

Vs/Vw = 23.0 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 49

Graph 21: Plume Trajectory at YAW (45/225, 135/315) for 0 kn vessel speed -ME

1.00

1.50

2.00

2.50

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

7.50

8.00

8.50

9.00

9.50

10.00

0.00 4.00 8.00 12.00

Y ft

H

IG

H T

A B

O V

E

EX

H A

SU

T

O U

TL

ET

P

IP

E)

X -ft (ALONG THE VESSEL LENGTH FROM EXHAUST OUTLET)

Vs/Vw = 8.5 (yaw 45/225)

Vs/Vw = 8.5 (yaw 135/315)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 50

G. CONCLUSION

1. The vessel stack with down look angle towards aft 20 deg does not intersect the centerline of the vessel. This means that the smoke plume passes of most ships decks before penetrating the turbulent zone.

2. Plume trajectory from the stack pipe exit is plotted for 0, 180 and 270 deg yaw angle and the results indicate that trajectory clears of the vessel’s deck i.e. topside arrangements, working deck areas, other exterior deck areas, ventilation system intakes, and exterior doorways. Note that with yaw angle 0 deg (tail wind), there may be interference of the plume path with the vessel’s navigation equipment. However, there is less likelihood, due to the location of the stack towards the port side.

3. According to the stack configuration calculations, the required stack beam width near the datum is 3.95 ft. The provided stack beam width for this vessel is 6.0 ft.

H. REFERENCES

1. Stack Design Technology for Naval and Merchant Ships", Baham and McCallum, SNAME Transactions, Volume 85, 1977, pages 324-349.

2. Technical Practices Manual for Surface Ship Stack Design NAVSEC Report 6136-76-

18 dated July 27, 1976.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 51

APPENDIX – A: BOUNDARY LAYER HEIGHT DETAILED RESULTS

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 52

Ships Boundary Zone Height:

Figure A 1: Critical Super Structure Dimensions (Page 330, Ref#1)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 53

Figure A 2: RANGER IV’S Dimensions Details for Boundary Layer Calculations

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 54

Figure A 3: RANGER IV’S Dimensions Details for Boundary Layer Calculations

From Fig.1 & 2 Vessel dimensional for boundary layer calculations are mentioned below.

a = 17 ft a1 = 8.5 ft a2 = 6.59 ft b = 36 ft b1 = 23.17 ft c = 90 ft

“b” value is taking as unity and corresponding values in the fraction of ‘b” will be follows b = 1 b1 = 0.64 a = 0.47 a1 = 0.24 a2 = 0.18 c = 2.50

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 55

Imaginary superstructure height: a’ = a+a1*b1-a2 a’ = 0.47+ (0.24*0.64)-0.18

= 0.65

Figure A 4: Basic Boundary Layer Height (Page 330, Ref#1)

From Figure A3, the value of turbulence boundary layer height corresponding to a’ value ht = 0.65

Correction for stepped back or sloping super structure (fθ) θ = 74.160 (Super structure angle with the base line, From Fig: A4)

Figure A 5: Deck House Slope Correction (page 331, Ref#1)

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 56

Turbulence height h (corrected) = h (basic) * fθ h (corrected) = 0.65 * 0.95

= 0.6175

Ship’s turbulence boundary zone height (h) = 0.6175b

= 0.6175*36

= 22.23 ft.

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 57

APPENDIX – B: PLUME TRAJECTORY DETAILED RESULTS FOR 35Kn, 20Kn, 10Kn & 0Kn SPEED CASES

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 58

Table B 1: Values Considered for Calculations

Symbol Value Units g 32.2 f/s2

Ds 1.13 ft

RS 0.56 ft

RI 0.52 ft α 0.15 -β 1.2 -

VT 35 K

VA 12 K

i) PLUME TRAJECTORY CALCULATIONS - MAIN ENGINE

CASE I: Main Engine (ME) Exhaust Stack Design (Wind Speed 35 knots)

Average Horizontal Crosswind Velocity (Relative) - Vw

VW=

sin[180 − (θ + arc sin((sin θ)(VA /VT)))] sin θ VT⁄

VW = Average horizontal crosswind velocity (relative), VA = Ship speed, VT = True wind speed.

Average horizontal crosswind velocity (relative) is calculated for different yaw angles (θ) and for different vessel speeds (14,7 & At dock running conditions).

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 59

Table B 2: Average Horizontal Crosswind Velocity (Relative) at Different Vessel Speeds at VT 35Kn (ME)

Θ

(DEG)

VT

(FPS)

VA

(FPS)

VA/VT

SIN

θ

SIN

θ*VA/VT

ARC

SIN(SINθ*VA/VT)

VW

0 59.07 23.6 - - - - 82.70

0 59.07 11.8 - - - - 70.89

0 59.07 0.0 - - - - 59.07

30 59.07 23.6 0.3995 0.50 0.20 11.52 78.32

45 59.07 23.6 0.4 0.71 0.28 16.43 73.37

45 59.07 11.8 0.2 0.71 0.14 8.13 66.83

45 59.07 0.0 0 0.71 0.00 0.00 59.07

90 59.07 23.6 0.4 1.00 0.40 23.58 54.14

90 59.07 11.8 0.2 1.00 0.20 11.54 57.88

90 59.07 0.0 0 1.00 0.00 0.00 59.07

135 59.07 23.6 0.4 0.71 0.28 16.43 39.95

135 59.07 11.8 0.2 0.71 0.14 8.13 50.13

135 59.07 0.0 0 0.71 0.00 0.00 59.07

180 59.07 23.6 - - - - 35.44

180 59.07 11.8 - - - - 47.26

180 59.07 0.0 - - - - 59.07

225 59.07 23.6 0.4 -0.71 -0.28 -16.43 39.95

225 59.07 11.8 0.2 -0.71 -0.14 -8.13 50.13

225 59.07 0.0 0 -0.71 0.00 0.00 59.07

270 59.07 23.6 0.4 -1.00 -0.40 -23.58 54.14

270 59.07 11.8 0.2 -1.00 -0.20 -11.54 57.88

270 59.07 0.0 0 -1.00 0.00 0.00 59.07

315 59.07 23.6 0.4 -0.71 -0.28 -16.43 73.37

315 59.07 11.8 0.2 -0.71 -0.14 -8.13 66.83

315 59.07 0.0 0 -0.71 0.00 0.00 59.07

Table B 3: Velocity Ratios at Different Yaw Angles and Different Vessel Speed Conditions (ME)

VA

(Kn)

(TS)

(oF)

No. of

Engines in

Operation

Load on

Each

Engine

QS

(cfm)

VS

(fps)

Velocity Ratio (VS/VW) θ=0 θ=45/ θ=90/ θ=135/ θ=180

14 1086.7 3 91 5973.7 100.16 1.21 1.37 1.85 2.51 2.83

7 859.4 2 15 1063.9 17.84 0.25 0.27 0.31 0.36 0.38

On

Station

(0)

739.9 3 5 407.5 6.83 0.12 0.12 0.12 0.12

0.12

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 60

Plume Trajectory and Plume Radius

Y

DS

N(VS VW⁄ )(X RS⁄ )0.25

(2.4 + 0.3 VS VW⁄ )0.50

r = RS + [2 (α + β

VW

VS

2Fr2 ] y

VS = Velocity of stack gas exhaust averaged over exhaust area, N = 0.86 (for vessel having more than one exhaust pipe), X = Horizontal distance from stack centerline (in ft), RS = Equivalent exhaust pipe radius (DS/2), Y = vertical distance from stack centerline (in ft), VW = Velocity of stack gas exhaust averaged over exhaust area, Fr = Stack exit Froude number, Note: X value is assumed, and corresponding Y and r values are calculated.

a) Vessel Speed at 15 Knots (engines are running at 90% load)

YAW Angle “0” DEG

X 4.03 8.03 14.03 20.03 28.03 44.03 60.03 76.03 108.03

Y 1.15 1.37 1.58 1.72 1.87 2.10 2.27 2.40 2.62 r 3.16 3.65 4.12 4.45 4.79 5.29 5.67 5.98 6.48

YAW Angle “45/225” DEG

X 2 6 10 16 22 30 38 54 70

Y 1.08 1.42 1.62 1.82 1.97 2.13 2.26 2.47 2.63 r 2.76 3.46 3.85 4.26 4.57 4.89 5.15 5.57 5.91

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 61

YAW Angle “90/270” DEG

Y 1.43 1.88 2.14 2.40 2.60 2.81 2.99 3.26 3.48 r 2.81 3.52 3.92 4.34 4.65 4.98 5.25 5.68 6.03

YAW Angle “135/315” DEG

Y 1.88 2.47 2.81 3.16 3.42 3.69 3.92 4.28 4.56 r 2.87 3.60 4.02 4.45 4.77 5.11 5.38 5.83 6.18

YAW Angle “180” DEG

X 3.97 7.97 11.97 15.97 19.97 23.97 31.97 39.97 47.97

Y 2.47 2.94 3.26 3.50 3.70 3.88 4.17 4.40 4.61 r 3.34 3.87 4.22 4.50 4.72 4.92 5.24 5.51 5.74

b) Vessel Speed at 7 Knots (engines are running at 90% load)

YAW Angle “0” DEG

X 4.03 8.03 12.03 20.03 28.03 44.03 60.03 76.03 108.03

Y 0.25 0.30 0.33 0.38 0.41 0.46 0.50 0.53 0.58 r 2.89 3.33 3.62 4.04 4.34 4.80 5.14 5.41 5.86

Y 0.23 0.30 0.34 0.38 0.41 0.44 0.47 0.51 0.55 r 2.51 3.13 3.48 3.84 4.11 4.40 4.63 5.00 5.30

Y 0.26 0.34 0.39 0.44 0.47 0.51 0.54 0.59 0.63 r 2.49 3.10 3.45 3.81 4.08 4.36 4.59 4.96 5.26

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 62

X 2 6 10 16 22 30 38 54 70

Y 0.30 0.39 0.45 0.50 0.54 0.59 0.62 0.68 0.73 r 2.47 3.08 3.42 3.78 4.04 4.32 4.55 4.92 5.21

Y 0.38 0.45 0.49 0.53 0.56 0.59 0.63 0.67 0.70 r 2.82 3.25 3.54 3.76 3.95 4.10 4.37 4.59 4.77

c) Vessel Speed at On-station 0 Knots (engines are running at 90% load)

YAW Angle “0” DEG

X 4.03 8.0 12.0 20.0 28.0 44.0 60.0 76.0 108.0

Y 0.12 0.14 0.15 0.18 0.19 0.21 0.23 0.24 0.27 r 2.60 2.98 3.24 3.60 3.87 4.26 4.56 4.80 5.19

Y 0.10 0.13 0.15 0.17 0.18 0.19 0.21 0.22 0.24 r 2.27 2.81 3.12 3.43 3.67 3.92 4.13 4.45 4.72

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 63

X 3.97 7.97 11.97 15.97 19.97 23.97 31.97 39.97 47.97

Y 0.12 0.14 0.15 0.17 0.18 0.18 0.20 0.21 0.22 r 2.59 2.98 3.23 3.43 3.60 3.74 3.98 4.17 4.34

Use or disclosure of the data contained on this sheet is subject to the restriction on the title page of this document. 64

CASE II: Main Engine (ME) Exhaust Stack Design (Wind Speed 20 knots)

Average Horizontal Crosswind Velocity (Relative) - Vw

VW=

VT = True wind speed.

Average horizontal crosswind velocity (relative) is calculated for different yaw angles (θ) and for different vessel speeds (14,7 & At dock running conditions).

Table B 4: Average Horizontal Crosswind Velocity (Relative) at Different Vessel Speeds at VT 20Kn (ME)

Θ

(DEG)

VT

(FPS)

VA

(FPS)

VA/VT

SIN

θ

SIN

θ*VA/VT

ARC

SIN(SINθ*VA/VT)

VW

0 33.76 23.6 - - - - 57.39

0 33.76 11.8 - - - - 45.57

0 33.76 0.0 - - - - 33.76

30 33.76 23.6 0.69913 0.50 0.35 20.46 52.06

45 33.76 23.6 0.7 0.71 0.49 29.67 46.04

45 33.76 11.8 0.35 0.71 0.25 14.33 41.06

45 33.76 0.0 0 0.71 0.00 0.00 33.76

90 33.76 23.6 0.7 1.00 0.70 44.43 24.11

90 33.76 11.8 0.35 1.00 0.35…