Straight line test

The velocity-dependent derivatives Yv and Nv of the ship at any draft and trim

Draft (hull)

The draft of a ship's hull is the vertical distance between the waterline and the bottom of the hull , with the thickness of the hull included; in the case of not being included the draft outline would be obtained...

 can be determined from the model test carried in towing tank. The model is towed with a constant velocity corresponding to a given ship Froude number

Froude number

The Froude number is a dimensionless number defined as the ratio of a characteristic velocity to a gravitational wave velocity. It may equivalently be defined as the ratio of a body's inertia to gravitational forces. In fluid mechanics, the Froude number is used to determine the resistance of an...

 at various angles of attack

Angle of attack

Angle of attack is a term used in fluid dynamics to describe the angle between a reference line on a lifting body and the vector representing the relative motion between the lifting body and the fluid through which it is moving...

, β. A dynamometer

Dynamometer

A dynamometer or "dyno" for short, is a device for measuring force, moment of force , or power. For example, the power produced by an engine, motor or other rotating prime mover can be calculated by simultaneously measuring torque and rotational speed .A dynamometer can also be used to determine...

 at the origin O, measures the force Y and the moment N experienced by the model at each value of β. The dimensional ship values of the derivatives can then be obtained by multiplying the non-dimensional derivatives by the same respective combinations of ship length, ship speed and sea water density.

It can also be used to determine the cross-coupling effects of v on Yδ and Nδ and of δR on Yv and Nv.

Rotating-arm technique

It measures the rotary derivatives Yr and Nr on the model, a special type of towing tank and apparatus called a rotating-arm facility. In this facility, an angular velocity

Angular velocity

In physics, the angular velocity is a vector quantity which specifies the angular speed of an object and the axis about which the object is rotating. The SI unit of angular velocity is radians per second, although it may be measured in other units such as degrees per second, revolutions per...

 is imposed on the model by fixing it to the end of a radial arm and rotating the arm about a vertical axis fixed in the tank. The model is oriented with its x-axis and z-axis normal to the radial arm and it is attached to the arm preferably at the model’s midlength. As a result of the particular orientation, as the model revolves about the tank axis, rotates at the rate r while its transverse velocity component v is at all times zero (yaw angle of attack β=0), and its axial velocity component u1 is identical to its linear speed. The model is rotated at a constant linear speed at various radii R, and the dynamometer measures the force Y and the moment N acting on the model. The derivatives Yr and Nr are obtained by evaluating the slopes at r=0.

The rotating arm facility can also be used to determine Yv and Nv as well as Yr and Nr. By cross plotting the values of Yv and Nv obtained at each r-value against r, the values of Yv and Nv at r=0 can be obtained.

Planar motion mechanism (PMM)

It can be used instead of Rotating Arm Test where towing tank facilities are longer and narrower. It can measure velocity dependent derivatives Yv and Nv, the rotary derivatives Yr and Nr as well as the acceleration derivatives Yύ and N ύ.

The PMM consists of two oscillators, one of which produces a transverse oscillation at the bow and the other a transverse oscillation at the stern while the model moves down the towing tank at the constant velocity as measured along the centerline of the towing tank.

Open-water test

• It is carried out to determine the open water characteristics of a propeller. A geometrically similar model is produced with the model-prototype correlation.

• The model propeller is attached to a propeller dynamometer fitted in an open water boat.

• The dynamometer measures the thrust and torque of the propeller. The propeller shaft extends a sufficient length forward from the boat to ensure that the flow around the propeller is not disturbed by the boat.

• The test is conducted by towing the open water boat at a steady speed while running the propeller at a constant revolution rate. The speed of the boat (speed of advance VA), and the revolution rate n, thrust T and torque Q of the propeller are measured in each run.

• The speed of advance is varied in steps from zero to the value at which the propeller thrust just becomes negative.

• The open water characteristics of the model propeller can be easily calculated from the measured values of VA and n, and the corrected values T and Q.

Performance prediction method

Some of the formulations given by the IITC 1978 for the performance prediction method are as follows:

VRM2 = VAM2 + (0.75π nM DM) 2

RncM = VRM cM / υM

KTS = KTM - ΔKT

KQS = KQM – ΔKQ

Where,

• VRM = resultant velocity of the blade section at 0.75R
• VAM = speed of advance of the model propeller
• nM = revolution rate of the model propeller
• DM = model propeller diameter
• RncM = Reynolds number of the model propeller
• cM = expanded blade width of the section at 0.75R of the model propeller
• υM = Kinematic viscosity of the water for model
• KTM , KTS = thrust coefficient of the model and ship propeller respectively
• KQM , KQS = torque coefficient of the model and ship propeller respectively