Test case 3a.10: Pure yaw

Conditions

• Captive pure yaw motion in still water
• Fixed (heave=5.855mm & pitch=-0.136°)
• Without rudders
• With bilge keels

Pre scribed PMM motions:

• Sway motion:
• Sway velocity:
• Sway acceleration:
• Heading angle:
• Yaw rate:
• Yaw acceleration:

[-]	[-]	[m/s]	[rpm]	[m]	[deg]	[-]
0.280	4.643´10^6	1.531	8.0210	0.1636	10.2	0.30

Items and Remarks

Figure Number	Items	Remarks
Fig. 3a.10-1	Axial velocity contours and cross flow vectors (x/LPP=0.135)	4 PMM phases; 0°, 45°, 90°, 135° To be compared with experiment results pdf
Fig. 3a.10-2	Transverse velocity contours (x/LPP=0.135)
Fig. 3a.10-3	Vertical velocity contours (x/LPP=0.135)
Fig. 3a.10-4	Turbulent kinetic energe contours (x/LPP=0.135)
Fig. 3a.10-5	Axial vorticity contours (x/LPP=0.135)
Fig. 3a.10-6	Axial velocity contours and cross flow vectors (x/LPP=0.535)	4 PMM phases; 0°, 45°, 90°, 135° To be compared with experiment results pdf
Fig. 3a.10-7	Transverse velocity contours (x/LPP=0.535)
Fig. 3a.10-8	Vertical velocity contours (x/LPP=0.535)
Fig. 3a.10-9	Turbulent kinetic energe contours (x/LPP=0.535)
Fig. 3a.10-10	Axial vorticity contours (x/LPP=0.535)
Fig. 3a.10-11	Axial velocity contours and cross flow vectors (x/LPP=0.935)	4 PMM phases; 0°, 45°, 90°, 135° To be compared with experiment results pdf
Fig. 3a.10-12	Transverse velocity contours (x/LPP=0.935)
Fig. 3a.10-13	Vertical velocity contours (x/LPP=0.935)
Fig. 3a.10-14	Turbulent kinetic energe contours (x/LPP=0.935)
Fig. 3a.10-15	Axial vorticity contours (x/LPP=0.935)

• Coordinate system for comparision is ship-fixed at FP on the undisturbed waterplane (x positive downstream, y positive starboard side, z positive upward).

• ,

where, is towing carriage speed, is the gravitational acceleration and is the kinematic viscosity of water.

• All quantities are non-dimensionalized with water density (), carriage speed (),and the length between perpendiculars ().

, , ,

where, , ,