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1 // Naca4.scad - library for parametric airfoils of 4 digit NACA series |
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2 // Code: Rudolf Huttary, Berlin |
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3 // June 2015 |
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4 // commercial use prohibited |
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5 |
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6 |
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7 // general use: for more examples refer to sampler.scad |
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8 // naca = naca digits or 3el vector (default = 12 or [0, 0, .12]) |
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9 // L = chord length [mm] (default= 100) |
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10 // N = # sample points (default= 81) |
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11 // h = height [mm] (default= 1) |
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12 // open = close at the thin end? (default = true) |
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13 // two equivalent example calls |
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14 airfoil(naca = 2408, L = 60, N=1001, h = 30, open = false); |
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15 // airfoil(naca = [.2, .4, .32], L = 60, N=1001, h = 30, open = false); |
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16 |
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17 module help() |
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18 { |
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19 echo(str("\n\nList of signatures in lib:\n=================\n", |
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20 "module airfoil(naca=2412, L = 100, N = 81, h = 1, open = false) - renders airfoil object\n", |
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21 "module airfoil(naca=[.2, .4, .12], L = 100, N = 81, h = 1, open = false) - renders airfoil object using percentage for camber, camber distance and thicknes\n", |
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22 "function airfoil_data(naca=12, L = 100, N = 81, open = false)\n", |
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23 "=================\n")); |
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24 } |
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25 |
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26 help(); |
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27 // this is the object |
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28 module airfoil(naca=12, L = 100, N = 81, h = 1, open = false) |
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29 { |
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30 linear_extrude(height = h) |
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31 polygon(points = airfoil_data(naca, L, N, open)); |
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32 } |
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33 |
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34 // this is the main function providing the airfoil data |
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35 function airfoil_data(naca=12, L = 100, N = 81, open = false) = |
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36 let(Na = len(naca)!=3?NACA(naca):naca) |
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37 let(A = [.2969, -0.126, -.3516, .2843, open?-0.1015:-0.1036]) |
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38 [for (b=[-180:360/(N):179.99]) |
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39 let (x = (1-cos(b))/2) |
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40 let(yt = sign(b)*Na[2]/.2*(A*[sqrt(x), x, x*x, x*x*x, x*x*x*x])) |
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41 Na[0]==0?L*[x, yt]:L*camber(x, yt, Na[0], Na[1], sign(b))]; |
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42 |
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43 // helper functions |
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44 function NACA(naca) = |
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45 let (M = floor(naca/1000)) |
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46 let (P = floor((naca-M*1000)/100)) |
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47 [M/100, P/10, floor(naca-M*1000-P*100)/100]; |
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48 |
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49 function camber(x, y, M, P, upper) = |
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50 let(yc = (x<P)?M/P/P*(2*P*x-x*x): M/(1-P)/(1-P)*(1 - 2*P + 2*P*x -x*x)) |
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51 let(dy = (x<P)?2*M/P/P*(P-x):2*M/(1-P)/(1-P)*(P-x)) |
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52 let(th = atan(dy)) |
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53 [upper ? x - y*sin(th):x + y*sin(th), upper ? yc + y*cos(th):yc - y*cos(th)]; |
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54 |
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55 |