Proportionally
reducing the dimensions of a full-sized aircraft will result in a
perfectly scaled model however the scale model will rarely turn out to fly
well.
Boundary layer
Thin layer of air close to the wing surface that is slowed down by
skin friction.
There are two main types of flow:
Laminar and turbulent. Which flow type occurs on
the wing's surface depends on the wing's
 | form |
 | surface's roughness |
 | chord length |
 | airspeed |
 | and the density to viscosity of the air. |
The combination of all those factors (except the
surface condition) is known as Reynolds Number or Re.
Re (air density/air = viscosity) x air speed x wing chord
Air viscosity (is
measured in kilograms per meter per second) The
standard value is: 0.0000179=20 kg/m/sec.
For instance:
A wing with a chord of 1 meter at an airspeed of 1 m/sec and with the
standard air density and viscosity will have the following Re:
(1.225/0.0000179) x 1 x 1 = 68459
Thereby, a
simplified formula may be obtained as follows:
Re = 68459 x V x L
 | V = airspeed in m/sec |
 | L = wing chord in meters. |
Re increases as the airspeed, air density and wing chord increases.
Since the wing chords of model aircraft are often much less than 1 meter
one may get a Re value close enough for modeling purposes by one of the
following simplified formula:
 | Kilometers Re = speed in kilometers per hour x
chord in |
 | centimeters x 189 (Metric units) |
 | MPH Re =3D = speed in miles per hour x chord in inches x
770 |
 | (Imperial units) |
With a small wing chord (such as a model aircraft) the
air viscosity is a dominant factor, whereas with the full-sized aircraft the
viscosity effects of the air are insignificant while the aircraft's mass
inertia becomes more dominant. That's why
one should not expect a scaled model aircraft to have the same flight
characteristics as its larger counterpart.
A large wing that is flying fast has a higher Re and thinner boundary
layer than a small wing that is flying slow. The boundary layer is
thinnest when its flow is laminar and thickens when it is turbulent.
The turbulent flow may separate from the wing's surface producing more
drag and decreased lift, which may lead to stall.
Thus, a Re wing is more likely to suffer from laminar separation and
to stall sooner than a wing with high Re.
The area of the flying surfaces (wings, fin and stabilizer) as well as
the control surfaces (elevator, rudder and ailerons) should be
proportionally larger in the model aircraft in order to obtain more
controllable flights and landings.
Wing loading is also more critical with smaller
models. That means, a bigger model may get away with a greater wing loading
than a smaller one..
Some basic rules of thumb may be
followed when designing an easy flying trainer model according to
the pictures below:
Start by choosing the desired wing chord or
wingspan
(Related dimensions may be calculated from the WS or chord).
High wings
The dihedral angle is should stay between:
 | Without Ailerons 3 to 6 degrees |
 | With Ailerons up to 3 deg |
A washout angle between 3 to 5 degrees is advisable in order to
improve stall characteristics.
Motor thrust angles
are usually found by trial and error.
 | Flat bottom wings may need more down thrust than |
 | symmetrical and/or semi-symmetrical ones. |
 | Initially one may start with 2 to 3 degrees down and |
 | right thrust. |
 | The wing's and stabilizer's incidence may preliminary be
set at zero, and may be changed during test flights.
|
Landing gear
placement
 | Tail dragger axle coincident with
the leading edge of the wing |
 | tricycle the main gear should be
slightly aft of the CG balance point in order to get
easier
take-offs. |
A tail-heavy aircraft will be
 | more unstable |
 | more susceptible to stall at low speed e. g. during the landing
approach. |
A nose-heavy aircraft
 | More difficult to takeoff from the ground |
 | More difficult to gain altitude |
 | Will tend to drop its nose when the throttle is reduced |
 | Requires higher speed to land safely. |
A flat bottom wing
 | Gives high lift flying upright |
 | Poor lift at inverted flight |
 | Used in slow and relatively light powered models. |
Semi - symmetrical
airfoils (Good compromise)
 | Gives good lift at upright |
 | Gives slightly less lift inverted. |
Symmetrical airfoils (used in aerobatic models)
 | Gives equal lift upright and inverted |
The control surfaces
 | Too much throw causes the aircraft to respond too quickly making the
aircraft difficult to control |
 | Too little throw will result in to little control especially
at low landing speed. |
Typical throw settings
(measured at the control surface trailing edge at the widest point)
Elevator and Ailerons
 | 6mm (1/4") up and down. |
Differential Ailerons (recommended with flat bottom = wings)
 | 5/16" (8mm) up |
 | 5/32" (4mm) down.
|
Rudder
 | 3/8" (10mm) left and right. |
Those figures are just guidelines and some changes may be done during test
flights sessions.
Faster models will require lower throw settings.
Adjusting the throws
To increase the control surface throw move the push rod to the hole on the control
horn that is closer to the control surface and/or move the push rod to the
further out hole on the servo arm.
Caution
Moving the push rod connection to close to the control surface will increase
the travel of the control however it will allow the control to flutter at
airspeed.
Some transmitters have dual rate facility, which allows the pilot to change
the max throws to suit the flying speed.
Material and construction methods
 | Strive to build as light and as strong as possible. |
 | Wing loading is the aircraft's weight divided by the wing area. |
 | In order to avoid stall a plane with high wing loading requires higher
take-off and landing speed |
 | Two different sized planes with the same wing loading will have about the
same stall speed but the smaller one will be more difficult to control
especially during landing approach. |
Typical wing loading with a 60 in (150cm) wingspan
model is
about 19-oz/sq. ft (60g/sq. dm).
(This value may be slightly higher with bigger models)
Example
The wing loading of a full-scale Cessna 152 is about 167-oz/sq. ft (510g/sq.
dm)
A model aircraft with such a wing loading would hardly be able
to fly.
Beginners are advised to choose cubic wing loading values no greater than 8,
as it's likely to give relatively low take-off and landing speeds
As a rule of thumb the
stall speed in mph is approximately equal to four times the square root of the wing loading in ounces per
square foot.
The prop's static pitch speed should be higher than 2.5 times
the aircraft's stall speed.
The static thrust should be at least about 1/3 of the planes' weight in order to get reasonable climb
and acceleration capabilities after aborted landings.
Some scaling rules: (A scale model's weight should be reduced by the cube of the
scale factor)
 | For instance a full-scale Piper J-3 Cub weighs 1000lb and has 36ft
wingspan. A 1/6 scale Piper J-3 Cub model should weigh 1000/63
4.6lb |
 | The wing loading of the scale model should be reduced by the
scale factor's ratio. |
 | The 1/6 scale model should have 13.3 oz/sq. ft wing loading
instead of 80 oz/sq. ft as the full-size Piper J-3 Cub. |
|
Recommended = Engine Size=20 vs Wing Area
|
| c.c.
|
c.in.
|
area sq. =dm
|
area sq. in.
|
|
0.8
|
.049 |
12 - 16
|
200- = 250 |
|
1.6
|
.10 |
15 - 22
|
250 - =350 |
|
2.5
|
.15 |
20 - 30
|
300 - = 450 |
|
4.0
|
.25 |
26 - 32
|
400 - = 500 |
|
6.7
|
.40 |
32 - 45
|
500 - = 700 |
|
10
|
.60 |
38 - 55
|
600 -=20 850 |
Elliptical wings area can be calculated as follows:
A reference that is not dependent on the aircraft size is the cubic wing loading, which is
calculated dividing the weight by the wing area raised to the 1.5 power.
For instance
the full scale Cessna has a cubic loading of about 13 oz/cu. ft, which
puts it at the high end of a scale model category regardless of size.
Different types of model aircraft may have different cubic wing loadings (oz/cu. ft) as shown below:
|
Model Type
|
Cubic Loading
|
|
Sail and Park Flyer: |
4 to 7 |
|
Sport and Trainer: |
7 to 9 |
|
Pylon and Scale: |
up to 13 |
|
Electric Ducted Fan: |
up to 25 |
Some unit conversions:
(Multiplying lb/sq. i n by 2304 gives the value in oz/sq. ft.)
 | 1ft = 0.3048m |
 | 1in = 2.54cm |
 | 1lb = 16oz = 0.4536kg |
 | 1oz = 28.35g |
 | 1sq. ft = 144 sq. in |
|