Geschichte

RCS Design Course – Theory and Practical Application

von Heinrich Disler
7

In the following papers on the interpretation of RCS models, I have proceeded from the premise that it is hardly possible for every interested modeler to collect and evaluate the numerous articles scattered throughout various professional journals.


Individual theoretical treatises, selected at random from the vast body of material, are of little use to the average model builder, since the equally important or directly related peripheral topics are missing or inaccessible. The entire subject matter was covered in a design course conducted by Region 5 in November 1971, and it was from this group that the desire arose to publish this theoretical and practical treatise.

Heinrich Disler


Overview of the Individual Chapters

1. Wing Geometry (Area, Aspect Ratio)
No. 6, December 1972
2. The Reynolds Number
No. 7, February 1973
3. The Polar Chart
No. 8, April 1973
4. The Airfoil
No. 9, June 1973
5. Model Design
No. 10, August 1973
6. Calculation Example
No. 11, October 1973
7. Calculation Example (Continued)
No. 12, December 1973


Chapter 1: Wing Geometry (Area, Aspect Ratio)

Calculation of Wingspan and Aspect Ratio for Non-Constant Geometric Wing Profiles.

In the following paper, I intend to present, in an easily understandable manner, a method for calculating the wingspan and aspect ratio of wings or tail surfaces, assuming a given area and internal profile depth.

As initial parameters for all calculations, we will use an RCS wing with an area of $50 \text{ dm}^2$ and an internal profile depth of $2.2 \text{ dm}$.


1. Let's use the rectangular wing as an introductory example.



Formula A
F= 50.0 dm2
t= 2.2 cm
b = F / t= 50.0 / 2.20 = 22.73 dm
λ = b / t or b² / F= 22.73 / 2.20 = 10.33
= 22.73² / 50.0² = 10.33

General Terms
  • F = Wing area in dm²
  • b = Wingspan in dm
  • ti = inner airfoil depth in dm
  • ta = outer airfoil depth in dm
  • tm = average airfoil depth
  • λ = wing aspect ratio

2. Starting with a rectangular wing of constant depth, we can now derive formulas for calculating the wingspan and aspect ratio when the wing profiles are varied for aerodynamic or aesthetic reasons.


2.1 Trapezoidal Wings

For aerodynamic reasons, ta should not be less than 0.6 ti.



Formula B
F= 50.0 dm²
10= 2.2 dm
ta= 0.6 ti = 0.6 × 2.2 = 1.32 dm
tm= (ti + ta)/2 = (2.20 + 1.32)/2 = 1.76 dm
b= F / tm = 50.0 / 1.76 = 28.41 dm
λ= b / tm = 28.41 / 1.76 = 16.14
= b² / F = 28.41² / 50.0 = 16.14

1.22 Rectangular center section with trapezoidal ends

This wing planform is probably the most commonly used in model aircraft.
In this case, we can no longer determine the wingspan b directly from tm.
First, we need to consider what the ratio between the inner (rectangular) wing and the outer (trapezoidal) wing should be.
Wind tunnel tests have shown that, relative to half the wingspan, the optimal ratios are:
bi = 2/3 b' and ba = 1/3 b'



In this case, we base the calculation on half the span (area).


General Formula

F/2 = ( ti' × 2/3 b' ) + (( ti' + 0.6 ti' ) / 2 ) × b'/3

Example:
F/2 = 50/2 = 25.0 dm²
; ti' = 2.20 dm;   ta = 0.6 × 2.20 = 1.32 dm
→ tm = (2.20 + 1.32)/2 = 1.76 dm
Substituting the
values:
25.0 = (2.20 × 2.6'/3) + (1.76 × 6/3)
= 6' (2 × 2.20 / 3 + 1.76 / 3)
= 6' × (1.47 + 0.59)
→ 6' = 25.0/2.05 = 12.14 dm'

b1' = 2 × 6' / 3 = 8.09 dm'
ba = 1/3 × 6' = 4.05 dm'
F1' = 8.09 × 2.20 = 17.80 dm²
Fa = 4.05 × 1.76 = 7.13 dm²
Σ F/2 = 24.93 dm²
The missing 0.07 dm² is caused by rounding to only two decimal places.
λ = 62/F = (2 × 12.14)²/49.86 = 11.82



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