An Evaluation of the Modified Sachs and Ledsham-Pike Scaling of a Nuclear Air Blast

Abstract

The accuracy of modified Sachs and Ledsham-Pike scaling of peak shock hydrodynamic variables from a nuclear burst in air is evaluated. The modified Sachs and Ledsham-Pike methods are corrections applied to the similarity transform which is used to compute shock overpressures and related variables for infinite homogeneous atmospheric ambient conditions. This similarity transform no longer applies when the burst and target are located at different altitudes, and the modified Sachs and Ledsham-Pike corrections are applied to account for these varying ambient conditions. In this dissertation, the modified Sachs shock positions, dynamic pressures, and overpressures and the Ledsham-Pike overpressures are compared to a fully two dimensional flux-corrected transport finite difference solution. The flux-corrected transport method maintains a sharp and steady shock with no oscillations. The numerical calculations include a real atmospheric model, the Doan and Nickel equation of state of air, and radiation energy losses. It is found that the modified Sachs and Ledsham-Pike overpressures are essentially identical, and that their overpressures compare with the numerical results more favorably in the ascending directions than in the descending directions. A new Ledsham-Pike correction factor is presented for the descending directions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADA140653

Entities

People

  • Michael L. Crawford

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Cyber
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Blast Waves
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Dynamic Pressure
  • Explosions
  • Explosives
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Hydrodynamics
  • Plastic Explosives
  • Temperature Gradients
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Explosive Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)