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Calculation of the process of blast wave diffraction in a cylindrical channel

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Abstract

We performed a numerical investigation of the process of transition of a spherical leading front into a plane one in a cylindrical channel. The processes of the collision of reflected shock waves, formation of a nonstationary grating-like structure of flow, and of the overtaking interaction of shock waves are investigated. We found that in the presence of hot gas layers on the walls of the channel a plane head front is not formed.

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Abbreviations

r,z :

radial and axial coordinates

t :

time

p :

pressure

T :

temperature

u,v :

radial and axial velocity components

a :

distance between the planes

b :

half-distance between the planes

d :

channel diameter (in experimental data)

R 0 :

inital radius of the shock wave front

p *(r, z),u *(r, z),v *(r, z),T *(r, z):

distributions of pressure, radial, and axial velocity, and temperature at the initial time moment

L :

length of the zone of formation of a plane front

T 1,T 2 :

temperature of gas in the lower and upper thermal layers

h 1,h 2 :

thicknesses of the lower and upper thermal layers

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Additional information

Department of Theoretical Problems of the Russian Academy of Sciences, Moscow Physicotechnical Institute, Moscow. Translated from Inzhernerno-Fizicheskii Zhurnal, Vol. 68, No. 4, pp. 583–588, July–August, 1995.

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Andrushchenko, V.A., Meshcheryakov, M.V. Calculation of the process of blast wave diffraction in a cylindrical channel. J Eng Phys Thermophys 68, 476–480 (1995). https://doi.org/10.1007/BF00858662

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Keywords

  • Statistical Physic
  • Shock Wave
  • Numerical Investigation
  • Blast Wave
  • Wave Diffraction