Trainer Design
Home ] Our Purpose ] Safety Suggestions ] Help Wanted ] Classifieds ] Search ] Links ]
CONTENTS

Builders
Building
Carburators
Definitions
Design
Engines
Flying Tips
Fuel
Math Formulas
Picture Gallery
Projects
Propellers
Radio Systems
Reviews
Simulators
Soldering
Specifications
Theory
Conversion Tables
Trimming Your Plane

     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 

bulletform
bulletsurface's roughness
bulletchord length
bulletairspeed 
bulletand 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

bulletV = airspeed in m/sec 
bulletL = 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:

bulletKilometers   Re = speed in  kilometers per hour x chord in 
bulletcentimeters x 189 (Metric units)
bulletMPH Re =3D = speed in miles per hour x chord in inches x 770 
bullet(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: 

bulletWithout Ailerons 3 to 6 degrees
bulletWith 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.

bulletFlat bottom wings may need more down thrust than 
bulletsymmetrical and/or semi-symmetrical ones.
bulletInitially one may start with 2 to 3 degrees down and 
bulletright thrust.
bulletThe wing's and stabilizer's incidence may preliminary be 
set at zero, and may be changed during test flights.

Landing gear placement 

bulletTail dragger  axle coincident with
the leading edge of the wing
bullet 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 

bulletmore unstable
bulletmore susceptible to stall at low speed e. g. during the landing approach.

A nose-heavy aircraft 

bulletMore difficult to takeoff from the ground 
bulletMore difficult to gain altitude
bulletWill tend to drop its nose when the throttle is reduced
bulletRequires higher speed to land safely.

A flat bottom wing 

bulletGives high lift flying upright
bulletPoor lift at inverted flight
bulletUsed in slow and relatively light powered models.

Semi - symmetrical airfoils  (Good compromise)

bulletGives good lift at upright 
bulletGives slightly less lift inverted.

Symmetrical airfoils  (used in aerobatic models) 

bulletGives equal lift upright and inverted

The control surfaces

bulletToo much throw causes the aircraft to respond too quickly making the aircraft difficult to control 
bulletToo 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

bullet6mm (1/4") up and down.

Differential Ailerons (recommended with flat bottom = wings) 

bullet5/16" (8mm) up
bullet5/32"  (4mm) down.

Rudder  

bullet3/8" (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

bulletStrive to build as light and as strong as possible.
bulletWing loading is the aircraft's weight divided by the wing area.
bulletIn order to avoid stall a plane with high wing loading requires higher take-off and landing speed
bulletTwo 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)

bulletFor 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
bulletThe wing loading of the scale model should be reduced by the
 scale factor's ratio.
bulletThe 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.)

bullet1ft = 0.3048m
bullet1in = 2.54cm
bullet1lb = 16oz = 0.4536kg
bullet1oz =  28.35g
bullet1sq. ft = 144 sq. in

FORUM CONTENTS

Up