File:Mushroomcloud Size.svg

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Description
English: Final height h and radius r of a nuclear mushroom cloud as a function of the explosive yield W. The final height is approximately the height above the burst point for low and intermediate W and approx. the height above sea leval for high W. Quelle: Glasstone & Dolan (1977), numerical approximation of original graph.
Deutsch: Endhöhe und Radius der Pilzwolke einer Kernwaffenexplosion als Funktion der Sprengkraft W. Die Endhöhe ist ungefähr die Höhe über dem Detonationspunkt für geringe und mittlere W und ungefähr die Höhe über Meeresniveau für große W. Quelle: Glasstone & Dolan (1977), numerische Näherung des Originalgraphen.
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Source Own work
Author SiriusB
Other versions Mushroomcloud Size.png
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reset
 lw1=2.0; lw2=2.0; lw3=1.; lw4=0.5
 set term svg enhanced size 600,450 font "Helvetica, 14";set output 'cloud.svg'
 ch=3.0 # scaling factor for height
 cw=0.6 # scaling factor for radius
 f(lx)=0.006941*lx**4-0.06216*lx**3+0.1526*lx**2+0.1878*lx # log height
 g(lx)=0.0137*lx**3-0.0358*lx**2+0.37*lx                   # log radius
 h(lx)=ch*10.**f(lx)
 r(lx)=cw*10.**g(lx)
 h0(lx)=ch*10.**(lx/3.)
 r0(lx)=cw*10.**(lx/3.)
 clx=0.75;dlx=0.2                  # smooth interpolation via Fermi-Dirac function
 tau(lx)=1./(exp((clx-lx)/dlx)+1.) # (other interpolations are possible)
 uat(lx)=1.-tau(lx)
 hsw(lx) = tau(lx)*h(lx)+uat(lx)*h0(lx)
 rsw(lx) = tau(lx)*r(lx)+uat(lx)*r0(lx)
 set logscale x; set logscale x2
 set xrange [1:50000]; set xtics 10; set mxtics 10
 set yrange [0:50]; set ytics 10; set mytics 5
 set grid xtics ytics mxtics mytics back lt 1 lw 0.5  lc rgb '#808080',lt 1 lw 0.5 lc rgb '#B0B0B0'
 set key left
 ## Use slanted fonts for variables if available
 #set xlabel '{/Oblique W} / kT'; set ylabel '{/Oblique h},{/Oblique r} / km'
 set xlabel 'W / kT'; set ylabel 'h, r / km'
 plot hsw(log10(x)) t '{/Oblique h}' w l lt 1 lw lw1 lc rgb '#700', \
      rsw(log10(x)) t '{/Oblique r}' w l lt 2 lw lw1 lc rgb '#F00'
 reset

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current14:43, 21 November 2008Thumbnail for version as of 14:43, 21 November 2008600 × 450 (54 KB)SiriusB (talk | contribs){{Information |Description={{en|1=Final height h and radius r of a nuclear mushroom cloud as a function of the explosive yield W. The final height is approximately the height above the burst point for low and intermediate W and approx. the height above se

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