File:Nuclear Fireball Radius and Temperature.svg

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Summary

Description
English: Diameter and temperature vs. time of the fireball of a 20 kiloton nuclear air burst (near sea-level). Self-generated fit of curves in Glasstone & Dolan, The Effects of Nuclear Weapons (1977).
Deutsch: Durchmesser und Temperatur als Zeitfunktion des Feuerballs einer 20-Kilotonnen-Kernexplosion in der Luft (nahe Meeresniveau). Selbst erzeugter Fit von Kurven aus Glasstone & Dolan, The Effects of Nuclear Weapons (1977).
Date
Source Own work
Author SiriusB
Other versions Nuclear Fireball Radius and Temperature.png
SVG development
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This chart was created with Gnuplot.
 
This chart uses translateable embedded text.
Source code
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Gnuplot code

reset
 #### Terminal settings
 set term svg enhanced size 600,600 font "Helvetica, 16";set output 'fbrt.svg'
 #### Mathematical definitions
 ## Fireball temperature
 p0= 2.8526650801   ; q0= 69.18513566
 p1=-1.0863702704   ; q1=115.00394909
 p2= 4.7729619842   ; q2= 79.77893973
 p3=10.026967289	   ; q3= 27.50798341
 p4= 7.1862268373   ; q4=  4.74096116
 p5= 2.2724484357   ; q5=  0.32749001
 p6= 0.27143255706
 g1(x)=-1.103046*x+1.032988
 g2(x)=(((((p6*x+p5)*x+p4)*x+p3)*x+p2)*x+p1)*x+p0
 g3(x)=-0.547586*x+3.505928
 h1(x)=((((q5*x+q4)*x+q3)*x+q2)*x+q1)*x+q0
 g(x) = x<=-2.507 ? g1(x) : x<=-0.686 ? g2(x) : g3(x)
 h(x) = x<=-2.22638 ? h1(x) : NaN
 fg(x)= 10.**g(log10(x))
 fh(x)= 10.**h(log10(x))
 ## Fireball diameter
 rm4=13.; rm1=215.; re=236.; pr=log10(rm1/rm4)/3.; pk=-3.
 d(x)=2*((rm4*(10000.*x)**pr)**pk+re**pk)**(1./pk)
 #### Format definitions
 set tmargin 0.2; set bmargin 2.8; set lmargin 9.6; set rmargin 1
 lw1=3.; lw2=1.
 unset key
 set logscale xy
 set xrange [1e-4:10]
 set yrange [20:3e5]
 set xtics ("10^{-4} " 0.0001,"" 0.0002,"" 0.0003,"" 0.0004,"" 0.0005,\
 "" 0.0006,"" 0.0007,"" 0.0008,"" 0.0009,\
 "10^{-3} " 0.001,"" 0.002,"" 0.003,"" 0.004,"" 0.005,\
 "" 0.006,"" 0.007,"" 0.008,"" 0.009,\
 0.01,"" 0.02,"" 0.03,"" 0.04,"" 0.05,"" 0.06,"" 0.07,"" 0.08,"" 0.09,\
 0.1,"" 0.2,"" 0.3,"" 0.4,"" 0.5,"" 0.6,"" 0.7,"" 0.8,"" 0.9,\
 1,"" 2,"" 3,"" 4,"" 5,"" 6,"" 7,"" 8,"" 9,10)
 set ytics (10,"20" 20,"" 30,"" 40,"" 50,"" 60,"" 70,"" 80,"" 90,\
 100,"" 200,"" 300,"" 400,"" 500,"" 600,"" 700,"" 800,"" 900,\
 1000,"" 2000,"" 3000,"" 4000,"" 5000,"" 6000,"" 7000,"" 8000,"" 9000,\
 "10000" 10000,"" 20000,"" 30000,"" 40000,"" 50000,\
 "" 60000,"" 70000,"" 80000,"" 90000,\
 "100000" 100000,"" 200000,"" 300000,"" 400000,"" 500000,\
 "" 600000,"" 700000,"" 800000,"" 900000,\
 "10^6 " 1e6)
 set grid xtics ytics mxtics lt 1 lw lw2 lc rgb '#A0A0A0'
 #### Labels
 ## Use oblique fonts if available
 #set xlabel '{/Oblique t} / s'
 set xlabel 't / s'
 #set ylabel offset 1,0 '{/Oblique D} / m &{123456789012345} {/Oblique T}_{eff} / K'
 set ylabel offset 0.5,0 'D / m &{123456789012345} T_{eff} / K'
 #### Plotting
 plot fg(x) w l lt 1 lw lw1 lc rgb '#700',\
      fh(x) w l lt 1 lw lw1 lc rgb '#F80',\
      d(x)  w l lt 1 lw lw1 lc rgb '#00F'
 reset

Licensing

Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Captions

A graph depicting the double flash effect of a nuclear bomb.

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depicts

21 November 2008

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Date/TimeThumbnailDimensionsUserComment
current12:53, 21 November 2008Thumbnail for version as of 12:53, 21 November 2008600 × 600 (51 KB)SiriusB{{Information |Description={{en|1=Diameter and temperature vs. time of the fireball of a 20 kiloton nuclear air burst (near sea-level). Self-generated fit of curves in Glasstone & Dolan, The Effects of Nuclear Weapons (1977).}} {{de|1=Durchmesser und Temp
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