Propellers are an all-important part of airplanes to provide the necessary thrust for
powered flight. Even our jet engines have bypass blades to assist in producing
thrust. In the simplest terms, a propeller is an airfoil traveling in a circle with a
positive angle of attack relative to the incoming air to produce thrust.
Propeller performance is affected by several factors, among them are diameter
relative to RPM, and blade area relative to power absorption and pitch.
Diameter is the measurement (usually in inches) of the prop from tip to tip.
Pitch is defined as the theoretical advancement of a propeller in one revolution
(usually measured in inches) and defines the speed and maneuverability
characteristics of flying. For example, a 10x6 describes a diameter of 10" and a pitch
of 6", or forward movement of 6 inches per revolution. In metric measurement this
would be 30x15. Sometimes a particular series letter is used, such as 1260S (12"
diameter, 6" pitch, Scimitar Series).
Now, more about pitch, which is the hardest part to visualize. Imagine you turn a 6"
pitch prop in a tub of something like butter. It should advance 6" for each turn along
its axis. Naturally, the faster you turn the prop, the more rapidly you will advance.
Model propellers have a practical limit on how fast they can turn (RPM) based on the
power curve of the engine and the diameter of the prop. Another practical limit is due
to noise considerations. Prop tip speed limits should be at 600 to 650 feet per
second. Tip speed is explained below.
Slow speeds, aerobatics, great take-off's and landings can all be accomplished with
low pitch propellers. Higher pitches lead to less maneuverable but faster flying.
Because modelers do not have the luxury of variable pitch, most select a pitch based
on how they like to fly or compromise speed and maneuverability with a pitch
somewhere in the middle - around 65 -70% of the prop diameter. A limiting factor
which will decrease propeller efficiency is engine horsepower and aircraft drag, i.e. a
high pitch prop can't make an airplane any faster than it's capable of being and too
low of pitch can result in lower power/thrust. It should be noted that industry
standards are that pitch is measured at 75% of radius.
Thrust refers to the force exerted by the rotating propeller in the direction of travel of
the airplane. This is the whole purpose of the propeller - to convert the power of the
engine which appears as a rotating force, or torque, into a linear force to propel the
airplane. Thrust is usually measured in pounds is a function of air density, rpm,
diameter, advance ratio and Reynolds number. It is a long, complicated process to
get this number, but what is important to remember is that thrust is different for every
shape of propeller and changes with flying conditions.
Power Absorption refers to the power output curve of the engine. Power is the
product of torque times rpm. As rpm increases, an engine produces less force (or
torque) because the air/fuel mixture is not as efficient at higher rpm's. This is why a
power curve becomes flat or decreases at higher rpm's, and means that the most
efficient propeller is the one that allows the engine to operate at its optimum power
band.
An interesting point in understanding power absorption is that propeller power varies
as the cube of the rpm. Consequently, twice the rpm requires 8 times the power.
Tip Speed is measured in feet per second and a formula is provided below to find this
measurement.
For model airplane purposes, the best tip speed for efficiency and noise
requirements is 600 feet per second. This is due to compressibility losses and the
fact that subsonic airfoils do not work well in transonic/sonic speeds with required
sound levels.
Feet Per Second (ft/s) = RPM x diameter in inches x .00436
For example, to find the tip speed of a 10x6 on a .40 size engine running at 13,500
RPM, the equation would be 13,500 x 10 x .00436 = 588.6 ft/s.
To find the correct diameter at 600 ft/s, use this formula:
Diameter in inches = 138,000 / RPM
Using a .40 engine running at 13,500 RPM, the equation would read as follows:
138,000/13,500 = 10.22
Rounding down, the correct diameter is 10"
For both of the above formulas, use RPM for the optimum power band of your engine.
Consult your owner's manual if you do not know this number.
|