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ProvaPlotly.jl
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ProvaPlotly.jl
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### A Pluto.jl notebook ###
# v0.19.40
using Markdown
using InteractiveUtils
# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
quote
local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
local el = $(esc(element))
global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
el
end
end
# ╔═╡ e23f55bb-2181-4ed3-860b-1b6130e4d3f2
begin
using
Plots,
PlutoUI,
Rotations,
LaTeXStrings,
Interpolations,
Calculus
gr()
print("Dependencies")
end
# ╔═╡ 288282a4-1d59-4a83-a7f4-8155d79c5395
md"angolo di incidenza $\alpha$: $(@bind alpha3 Slider(-45:1:45, default=20, show_value=true)) °"
# ╔═╡ 9ade4d3b-822b-43c8-9605-5e591bcc7173
begin
function NACA_shape(naca)
num_points=100
m = parse(Int, naca[1]) ./ 100.0 # maximum camber
p = parse(Int, naca[2]) ./ 10.0 # location of maximum camber
t = parse(Int, naca[3:end]) ./ 100.0 # maximum thickness
c = 1.0 # chord length
x = collect(range(0, stop=c, length=num_points))
# Thickness distribution
yt = t ./ 0.2 .* c .* (0.2969 .* sqrt.(x ./ c) .- 0.1260*(x/c) .- 0.3516 .* (x ./ c) .^ 2 .+ 0.2843 .* (x./c).^3 .- 0.1015 .* (x ./ c) .^4)
# Mean camber line
yc = zeros(num_points)
for i in 1:num_points
if x[i] < p.*c
yc[i] = m./(p.^2).*(2 .* p .* (x[i] ./ c) .- (x[i] ./ c) .^2)
else
yc[i] = m./((1 .-p).^2).*((1 .-2 .* p) .+ 2 .* p .* (x[i] ./ c) .- (x[i]./c).^2)
end
end
# Calculate upper and lower surface coordinates
theta = atan.(m./(p^2) * (2 .*p .- 2 .*(x/c)))
xu = x .- yt .* sin.(theta)
yu = yc .+ yt .* cos.(theta)
xl = x .+ yt .* sin.(theta)
yl = yc .- yt .* cos.(theta)
Upper = Shape(xu,yu)
Lower = Shape(xl,yl)
return [Upper, Lower]
end
function transform_all(parts,dxdy,scale,angle)
transformed = rotate_all(parts,angle)
transformed = scale_all(transformed,scale)
transformed = translate_all(transformed,dxdy)
return transformed
end
function rotate_all(parts,angle)
rotated_parts = [Plots.rotate(part,angle,(0,0)) for part in parts]
return rotated_parts
end
function scale_all(parts,scale)
rotated_parts = [Plots.scale(part,scale[1],scale[2],(0,0)) for part in parts]
return rotated_parts
end
function translate_all(parts,dxdy)
translated_parts = [translate(part,dxdy[1],dxdy[2]) for part in parts]
return translated_parts
end
function par2dcircle(r,n_points,ini,fin)
t = LinRange(ini,fin,n_points)
x(t) = r*sin(t)
y(t) = r*cos(t)
x_coord=x.(t)
y_coord=y.(t)
return x_coord,y_coord
end
end
# ╔═╡ 6a5be595-c447-4ccb-9f37-c32d340b0faf
let
plot(aspect_ratio=:equal,
xlims=(-1.1, 1.1),
ylims=(-1.1, 1.1),
showaxis=false,
legendfont=font(12),
legend=:topright
)
alpha = deg2rad(alpha3)
# xB
plot!([0, -1.1*cos(alpha)], [0, 1.1*sin(alpha)], arrow=true, c=:red, lab=L"\hat x_B",lw=1,l=:dot)
# zB
plot!([0, -sin(alpha)], [0, -cos(alpha)], arrow=true, c=:blue, label=L"\hat z_B",lw=1, l=:dot)
# yB
plot!([-0.05,0.05],[-0.05,0.05], c=:green,lab=L"\hat y_B = \hat y_A",lw=3)
plot!([0.05,-0.05],[-0.05,0.05], c=:green,lab="",lw=3)
# xA
plot!([0, -1], [0, 0], arrow=true, c=:red, lab=L"\hat x_A",lw=2)
# zA
plot!([0, 0], [0, -1], arrow=true, c=:blue, lab=L"\hat z_A",lw=2)
# D
plot!([0, 1], [0, 0], arrow=true, c=:purple, lab=L"\bar D",lw=2)
# L
plot!([0, 0], [0, 1], arrow=true, c=:cyan, lab=L"\bar L",lw=2)
#Rotazione profilo
naca="2412"
foil=NACA_shape(naca)
foil=transform_all(foil,[-1,0],[1,1],0)
foil=transform_all(foil,[0,0],[1,1],-alpha)
plot!(foil, c=:white, label = false)
#Punto Q
xQ=0.7.*cos(alpha)
yQ=0.7.*sin(alpha)
scatter!([-xQ],[yQ], markersize=5, c=:purple, label=false)
# alpha
xa,ya=par2dcircle(0.8,40,-pi/2,alpha-pi/2)
plot!(xa, ya, arrow=true, c=:orange3, lab=L"\alpha",lw=1,l=:dot)
end
# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
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LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
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LaTeXStrings = "~1.3.1"
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Rotations = "~1.6.1"
"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
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