On the Propagation and Structure of the Blast Wave, I

抄録

Concerning blast waves with front surfaces of plane, cylindrical and spherical shape, the propagation velocity U and the distribution of hydrodynamical quantities are discussed. The solutions are constructed in the form of power series in (C⁄U)², where C is the sound velocity of undisturbed fluid. Especially R, the distance of shock front from the charge, is represented as,
\left(\fracCU\ ight)²\left(\fracR₀R\ ight)^α+1=J₀\left[1+λ₁\left(\fracCU\ ight)²+\frac12λ₂\left(\fracCU\ ight)⁴+······\ ight],
where R₀ is the characteristic length related to the energy of explosion, J₀ and λ_i are constants, and α=0,1,2 correspond to plane, cylindrical and spherical case, respectively. In this paper the first approximations for α=0,1 are discussed (The case α=2 has been discussed by G. I. Taylor). The solution is obtained numerically for the case of the adiabatic index λ=1.4. The approximate solution is also considered. Using these solutions, J₀ is found to be:
(Remark: Graphics omitted.)
The second approximation will appear in part II to be published subsequently.