Perturbation Solutions for Variable Energy Blast Waves.

Abstract

The trajectory of and the flow field behind blast waves with time varying energy input is determined. Freeman's Lagrangean coordinate formulation is modified to include both the geometric factor, alpha, for plane, cylindrical and spherical shocks and also non-integer values of beta, the energy input parameter, in a single computational algorithm. Numerical problems associated with vanishing density at the fictitious piston face are then examined and solved. Second order perturbation solutions about the infinite strength shock are then obtained in Sakurai's inverse shock Mach number expansion parameter for 0 < or = beta < alpha + 1. Tables and graphs of significant numerical coefficients are presented for comparison to and extension of results of other authors. Graphs of typical shock trajectories and flow field density, pressure and velocity variations are also presented and discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA051852

Entities

People

  • Edward T. Pitkin

Organizations

  • University of Connecticut

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Blast
  • Blast Waves
  • Computations
  • Computer Programs
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Explosions
  • Flow
  • Flow Fields
  • Kinetic Energy
  • Mach Number
  • Perturbations
  • Trajectories

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion Dynamics and Shock Wave Physics.