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Chapter

16

Propellers

Introduction

 

 

 

 

 

 

 

 

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Definitions

 

 

 

 

 

 

 

 

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Aerodynamic Forces on the Propeller . . . .

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Thrust . . . . . . . . . . . . . . .

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Centrifugal Twisting Moment (CTM) . . . .

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Propeller Efficiency . . . . . . . . . .

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Variable Pitch Propellers . . . . . . . .

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Power Absorption

 

 

 

 

 

 

 

 

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Moments and Forces Generated by a Propeller

 

 

 

 

 

 

 

 

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Effect of Atmospheric Conditions . . . . .

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Questions . . . . . . . . . . . . . .

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Answers . . . . . . . . . . . . . .

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16 Propellers

Propellers 16

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Propellers 16

Introduction

A propeller converts shaft power from the engine into thrust. It does this by accelerating a mass of air rearwards. Thrust from the propeller is equal to the mass of air accelerated rearwards multiplied by the acceleration given to it. A mass is accelerated rearwards and the equal and opposite reaction drives the aircraft forwards.

Definitions

The propeller blade is an aerofoil and the definitions for chord, camber, thickness/chord ratio and aspect ratio are the same as those given previously for the wing. Additionally the following must be considered.

BLADE ANGLE

OR

PITCH

PLANE OF ROTATION

Figure 16.1 Blade angle

GEOMETRIC

PITCH

Blade Angle or Pitch

The angle between the blade chord and the plane of rotation. Blade angle decreases from the root to the tip of the blade (twist) because rotational velocity of the blade increases from root to tip. For reference purposes, the blade angle is measured at a point 75% of the blade length from the root.

Geometric Pitch

The geometric pitch is the distance the propellerwouldtravelforwardinonecomplete revolution if it were moving through the air at the blade angle. (It might help to imagine the geometric pitch as a screw thread, but do not take this “screw” analogy any further).

Figure 16.2 Geometric pitch

Propellers 16

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16

Propellers 16

Propellers

BladeTwist

Sections near the tip of the propeller are at a greater distance from the propeller shaft and travel through a greater distance. Tip speed is therefore greater. The blade angle must be decreased towards the tip to give a constant geometric pitch along the length of the blade.

The blade angle determines the geometric pitch of the propeller. A small blade angle is called “fine pitch”, a large blade angle is called “coarse pitch”.

SLIP

GEOMETRIC

PITCH

EFFECTIVE

PITCH

HELIX

ANGLE

Effective Pitch

In flight the propeller does not move through the air at the geometric pitch; the distance it travels forward in each revolution depends on the aircraft’s forward speed. The distance which it actually moves forward in each revolution is called the “effective pitch” or “advance per revolution”.

Propeller Slip

The difference between the Geometric and the Effective Pitch is called the Slip.

The Helix Angle

The angle that the actual path of the propeller makes to the plane of rotation.

Figure 16.3 Effective pitch & slip

Angle of Attack

The path of the propeller through the air determines the direction of the relative airflow. The angle between the blade chord and the relative airflow is the angle of attack (α), Figure 16.4. The angle of attack (α) is the result of propeller rotational velocity (RPM) and aircraft forward velocity (TAS).

Fixed Pitch Propeller

Figure 16.5 shows a “fixed pitch” propeller at constant RPM. Increasing TAS decreases the angle of attack of the propeller. Figure 16.6 shows a “fixed pitch” propeller at a constant TAS. Increasing RPM increases the angle of attack of the propeller.

504

Propellers 16

RESULTANT PATH OF BLADE ELEMENT ( RELATIVE AIRFLOW )

TAS OF AIRCRAFT

+

INDUCED FLOW

BLADE ANGLE

OR

PITCH

HELIX

ANGLE

PLANE OF ROTATION

PROPELLER ( RPM )

 

Figure 16.4 Angle of attack

TAS

INCREASED

CONSTANT

PITCH

CONSTANT ( RPM )

Figure 16.5 Angle of attack decreased by higher TAS

CONSTANT TAS

CONSTANT

PITCH

INCREASED ( RPM )

Figure 16.6 Angle of attack increased by higher RPM

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