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(\frac
CU\
ight)
2\left(\frac
R0R\
ight)
α+1=
J0\left[1+λ
1\left(\frac
CU\
ight)
2+\frac12λ
2\left(\frac
CU\
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.
抄録全体を表示