
Besides propeller and engine, the
aerodynamics of the model was examined. To calculate the induced drag of
the model, simple lifting line theory was used (Multhopp's method). The
results included a set of drag polars (drag versus speed) and the time to
bank the model into the 90º turns. With the data for model, engine and
propeller, we could see how all these components worked together and where
improvements could be made.

The key system components of a pylon
racing model, excluding the pilot.
The following graph shows the drag and the
thrust curves for a beginner class pylon racing model, the Quickie 500. It
should be noted here, that during these times, the engine speed on the
ground was limited to 18000 rpm in the German national classes, because of
noise reasons. The data show that we still had enough thrust to accelerate
the model to speeds of 200 km/h (unfortunately, no international attempts
have been made so far, to tackle the noise problem). At this flight
condition the engine was running at slightly more then 21000 rpm. The
thrust of the power plant goes to zero, when the speed exceeds 300 km/h,
but this speed was unreachable, even when the model would have been put
into a vertical dive. In this case the additional "thrust" of
the model weight of 1.8 kg and the reduced model drag (no lift needed)
would have allowed a top speed of approximately 250 km/h.

Propeller thrust respectively model
drag versus flight speed for a national beginner class pylon racing model.
The model Quickie 500 is a trainer like standard design.
With all these values it was possible, to
simulate the model/engine/propeller system, racing around the course. The
following example depicts the speed history of a Quickie 500, equipped
with an OPS .40 Pylon engine. The simulation indicates, that the model
accelerates during the first lap until it reaches the twin pylon. During
the remaining laps the speed varies between 180 km/h and 200 km/h. The
take off and acceleration phase takes about 7 seconds, which is nearly 10%
of the total time for a race.

Calculated speed of a national
beginner class Quickie 500 model.
The data obtained from these calculations
were then used to improve propellers, wings and airfoils. Nowadays, with
commercially available and affordable remote data acquisition systems, it
is even possible to collect engine and aerodynamic data in flight.
The drag breakdown in the next figure
shows, that the rather bulky fuselage and the fixed undercarriage of the
Quickie 500 contributes most to the total drag in level flight. This ratio
will be lower for the more streamlined F3D competition models according to
FAI rules. As the aerodynamicist would expect, the most important drag
source during the turns is the induced drag of the wings, which could be
reduced by enlarging the wing span, if the span were not fixed by the
rules of the Quickie 500 class.

Relative contribution of model
parts to the total model drag for two flight conditions.
On the other hand, a larger wing span is
undesirable in level flight and it increases the weight; thus a compromise
has to be found to achieve the best results - that's exactly one of the
points, which makes the development of models for pylon racing
interesting!
Most people tend to say that a high aspect
ratio AR = b^2/S reduces the induced drag. But in fact it is the
wing span b, which influences the induced drag, not the wing
surface S. Keeping the surface at the minimum prescribed value
and varying the wing span changes the induced drag. Some results of a span
variation for the straight and level flight, from pylon to pylon, are
presented in the next figure.

Drag components during level flight
for various wing spans.
As already pointed out above, the induced
drag is of no importance here. Increasing the wing span forces a reduction
of the chord length of the wing to keep the area constant. This results in
an increase of profile friction drag due to the decreasing Reynolds
numbers. Thus the wing span should small for this flight condition.
Regarding the drag components for a 10 g
turn, as shown below, shows the opposite picture. Here, the induced drag
is much more prominent, especially when a small wing span has been chosen.

Drag components during a 10 g turn
for various wing spans.
The overall optimum depends on the ratio of
the times spent during both flight phases. It can be determined by a
complete analysis of the flight, or experimentally by trial and error. For
this purpose a new simulation program has been written, which makes it
possible to perform a realistic optimization of a model (at least
theoretically - we are still working on computerized pilot brain control,
but the current test pilot is always asking Abort, Retry, Ignore?,
when he has cut a pylon and, Unrecoverable Application Error
after drilling for oil with his new Nelson). |