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Propeller problems!

By Andrew Gibbs

 

No photograph survives of the Magicfly I built, but I did find this 1978 advert for the kit. The design utilised a really thick (14.5%), flat bottomed wing section with strip ailerons and tip plates. The model was available in foam and built-up balsa wing variants.

The first electric RC model I ever built was the Magicfly, by Model Flight Accessories (MFA). This was in the really early days of electric powered RC flight, around 1979, while I still a schoolboy. A discussion of the difficulties I experienced still has some relevance to today’s electric models.

This 48 inch span foam winged model was powered by a geared 540 motor (a sort of early 600 motor), 8 x 1200mAh NiCad cells, a 12x4 Kiel Kraft plastic prop of dubious efficiency and nothing more sophisticated for motor control than a servo-operated on/off microswitch. The model was successful in that it did fly, but was disappointingly lacking in performance, usually having only just enough thrust to be capable of flight. I remember that it was more or less a ‘one speed’ model; unless it was flown at precisely the correct airspeed, (set by the elevator) it simply would notclimb. This experience proved to be useful many years later when I flew a full sized FRED homebuilt, powered by an old VW Beetle engine, which had a similar, alarmingly poor rate of climb!

Taxiing out for my one and only flight in this underpowered F.R.E.D.

Returning to the Magicfly, I don’t remember how long the motor would run for, but this was irrelevant because I was forced to land well before the batteries were exhausted simply because the model could only sustain flight with well charged batteries!

Fairoaks airport, 1993. Being briefed by the owner of the F.R.E.D. The initials stand for Flying Runabout Experimental Design, the aircraft was designed by Eric Clutton, an aeromodeller of some repute, now living in the USA. The wing’s pronounced undercamber can be seen very clearly.

At that time electric modeling really was a ‘black art’, with very little information around to help the newcomer. Although there was the odd magazine article, I never found that these answered my many questions. I think it was the troubles I experienced with this model fuelled a desire to thoroughly understand and explain the technicalities of electric flight, a passion which lasts to this day.

Many years later on, it’s now clear to me why this model was lacking in performance. For success with an electric power model, especially when using brushed motors such as the old 540 the Magicfly used, there needs to be enough power, plus each element of the entire power system needs to operate at a reasonable level of efficiency to ensure the available power is not unnecessarily wasted. Thus the motor, propeller and battery all need to be considered. Let’s look at each of these factors in turn:

An old 540 motor and gearbox, similar to the unit installed in the Magicfly. The yellow prop is a Keil Kraft 12 x 4. Alongside it is a modern electric prop.

Available Power
The Magicfly weighed around 3lbs (1,360g), and I estimate that its 540 motor would have consumed around 15Amps. Today, it’s generally accepted that 50 Watts per pound is sufficient for this type of model, though it’s fair to say that some 25 years ago our performance expectations were lower, so 40 watts per pound would probably have been considered just about enough.

A motor drawing 15A at 8V (the likely on-load voltage for an early 8 cell pack of nicads) has an input power of 120 watts. (15x8 = 120) This indeed equates to 40 watts per pound, and so the model probably did have sufficient power - its problem was therefore more likely to do with how efficiently that power was used.

Propeller
I remember that judging by the way the model pulled at full throttle, the Magicfly seemed to have an impressive static thrust (the thrust at zero airspeed), and I was mystified as to why it had so little airborne performance. Interestingly, looking through some old back issues, I read that an RCM&E reviewer also found the model was a somewhat marginal performer, so I was not alone. However, he at least was using the recommended prop!

In fact, I had not understood the importance of the propeller factors that need to be considered with electric power models. Perhaps the three most important of these are pitch speed and dynamic thrust (the thrust at flying speed) and pitch to diameter ratio. (These themes are explored in more detail in the article ‘A few words about propellers’ – add this sentence when the prop article is added)

Static & dynamic thrust
Static thrust is often measured by modelers; it’s an easy measurement to make, requiring little more than a simple spring balance, and seems at first sight to be a useful indicator of flying performance. However, static thrust is only really of relevance at zero airspeed; the only such situations I can think of are

a) At the first instant of take off
b) During prop hanging maneuvers
c) The rotor of a helicopter in hovering flight

It is static thrust keeping these models airborne. The extraordinary scale FW61 helicopter was designed and built by the remarkably skilled Dutch modeller Appie Van Moorst, and was seen at an electric meet in Holland in 2004. The equally extraordinary large prop hanging electric model has 12 kilowatts of power on tap. Ian Watson of FlightTech is the talented pilot.

All of these are zero airspeed situations. However, as soon as a model is moving, it is dynamic thrust that counts. Unfortunately, for the average modeller without access to specialized equipment such as a wind tunnel, dynamic thrust is impossible to measure.

So what can we do? Well, the usual method is to avoid tackling the question of dynamic thrust head-on. Instead, we simply ensure that sufficient power is installed in the model and trust that with a suitable propeller installed that the resulting dynamic thrust will be sufficient.

One of the factors by which we can assess whether of not a prop is suitable is its pitch speed. For the average model, this method tends to work very well. After this, it’s a matter of experimenting with different props to find the best match for the particular combination of motor, model and the required flying style.

Pitch speed
Propeller pitch is defined as the distance that a prop will try to move forward in one revolution - for example, a prop with a 6 inch pitch will try to move forward 6 inches with each revolution. To help visualize this, we can liken the prop to a screw thread, which, with each turn, tries to pull itself forward as it is rotated.

If we also know the rotational speed of the prop, then we can say with some confidence what the forward speed of the propeller will try to be – this is known as the pitch speed. It can be seen that pitch speed is affected by only two factors: pitch and rpm.

Pitch speed is therefore defined as the speed at which a propeller will try to move forward as it rotates, if no resistance to its forward motion exists. In practice, some resistance will exist, and is caused by the aerodynamic drag of a model. This drag will cause some ‘slippage’, so the actual distance the model will move forward with each revolution of the prop will normally be less than the pitch speed. If it helps getting to grips with the idea, pitch speed can also be thought of as the speed at which air will be ‘thrown back’ by the prop.

The table below shows the pitch speed resulting from various combinations of prop rpm and prop pitch. For example, it shows that a prop with a pitch of 8 inches rotating at 5,000rpm will give a pitch speed of about 38mph.

Pitch speed of various props at selected rpm.
Prop pitch 4000rpm 5000rpm 6000rpm 7000rpm
4 inches 15mph 19mph 23mph 27mph
5 inches 19mph 24mph 28mph 33mph
6 inches 23mph 28mph 34mph 40mph
7 inches 27mph 33mph 40mph 46mph
8 inches 30mph 38mph 45mph 53mph

Although the figures in the table have been carefully calculated, notice that a fair approximation of pitch speed can be made simply by multiplying prop pitch in inches by rpm in thousands – for example 8 inches x 5,000rpm = approximately 8 x 5 = 40 mph. This is very close to the table speed of 38mph, and quite accurate enough for most purposes.

A poor choice of prop
From memory, I recall that the plan called for an 11x6 prop. Knowing very little about such matters, I had instead fitted the model with an old plastic 12x4 from my spares box, which was meant for internal combustion (i.c.) models. I used it simply because modeling funds were tight and to my inexperienced eye it looked close enough in size. At that time, I didn’t really understand about propeller pitch so I didn’t give this issue much thought. However, it’s now clear that this prop was a bad choice because the 4 inches of pitch was far too low, resulting in too low a pitch speed.

Being meant for an i.c. model, this sturdy nylon prop was also relatively heavy. Furthermore, the blade shape of this i.c. prop was probably rather inefficient for the low rotational speeds offered by the geared ferrite electric motor. However, in those days suitable lightweight electric props were simply not available.

Choice of pitch
Let’s now look at the pitch speed issue in more detail. The 540 motor I used probably achieved about 15,000rpm on its freshly charged 8-cell pack. The gearbox used had a 3:1 ratio, so this meant that the prop speed was probably around 5,000 rpm, giving a pitch speed of about 19 mph (from the table). Since some slippage is inevitable, the maximum possible flying speed would have been at best a few mph less, perhaps 16mph, a slow speed indeed.

This slow pitch speed almost certainly corresponded closely to the minimum possible flying speed of the model. Additionally, it was probably also close to the minimum drag speed of the model. The propeller provided just enough dynamic thrust to keep it airborne at this one speed. This explains why the model had been a ‘one speed’ device – if it was flown at a higher or lower speed than this, drag exceeded thrust and it descended. Tricky indeed!

Pitch to diameter ratio
All else being equal (which is rarely the case in aeromodelling) props with low pitch to diameter ratios are considered to be inefficient, and that generally, those with a ratio of less than 0.5 are best avoided. That old 12x4 was down around 0.33 (4/12 = p/d ratio 0.33) so its efficiency was probably very poor.

I did try a number of other props without success, but due to ignorance of the cause of the problem, these did not include an 11x6 or 12x6 – had I done so, things might have worked out a lot better on all counts - the pitch speed would have been closer to about 30mph, the pitch/diameter ratio would have been more efficient at about 0.5 (6/12 = p/d ratio 0.5) and also I’d have had more power from the motor due to the higher load. Unfortunately I hadn’t realized that I was so close to success, and so I sold the model on. I hope its new owner had a better selection of props than I did!

 

   
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