Calculation of Blast wave：Radius and Expanding velocity

LaTex

$R=\xi _{0}(\frac{E_{0}}{ ho _{0}})^{1/5}t^{2/5},\, D=\frac{2}{5}\xi _{0}(\frac{E_{0}}{ ho _{0}})^{1/5}t^{-3/5}$

Keyword

Blast wave,Radius,Expanding velocity,Dimensionless constant,Initial energy,Age,Surrounding medium density

Reference

[1]：Graham Woan著・堤正義訳：『ケンブリッジ物理公式ハンドブック』,共立出版,p.85,2007.
[2]：The formation of a blast wave by a very intense explosion
[3]：Supernova Remnant
[4]：Blast wave

Remarks

・ζ0：『a function of the ratio of the specific heat of air at constant pressure to the specific heat of air at constant volume』Ref.[4]
・E0：Initial energy
・t：Age
・ρ0：Surrounding medium density
・r：Radius of the blast wave
・D：Expanding velocity
・Making above Equation Image is powered by CODECOGS

History

・2010/08/05：Upload