Sedov-Taylor blast wave ($R_s=\xi (E{t}^2/{\rho }_0{)}^{1/5}$)

A self-similar energy-conserving strong spherical explosion into a uniform ambient density has $R_s=\xi (E{t}^2/{\rho }_0{)}^{1/5}$ and $v_s=2R_s/(5t)$. The dimensionless coefficient depends on the equation of state. Radiative losses, nonuniform media or continuous energy injection alter the similarity solution.