Instantaneous Axisymmetric Line Explosion in Incompressible Fluid-like Media

Abstract

This report examines the problem of an instantaneous line explosion along the axis of an incompressible fluid shell. The derivation mirrors that of spherical point explosion, but applied to an alternate geometry. The analysis takes into account the nonzero, but finite, radial extent of the incompressible fluid domain at both the inner and outer boundaries. While numerical integration is required for the solution in time, analytical representations of the velocity and pressure fields are achieved, when expressed not as a function of time, but as a function of the instantaneous crater size.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2021
Accession Number
AD1146646

Entities

People

  • Steven B. Segletes

Organizations

  • United States Army

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Axisymmetric
  • Boundaries
  • Coordinate Systems
  • Differential Equations
  • Energy
  • Energy Conservation
  • Equations
  • Explosions
  • Kinetic Energy
  • Military Research
  • Numerical Integration
  • Potential Energy
  • Pressure Distribution
  • Reservoirs
  • Symmetry

Readers

  • Calculus or Mathematical Analysis
  • Explosive Engineering.
  • Plasma Physics / Magnetohydrodynamics