Axially Symmetric Incompressible Shaped Charge Jets

Abstract

Basic equations governing the behavior of an axially symmetric, incompressible jet without body forces are presented. The jet is modeled both as an isotropic, Newtonian fluid and as a visco-plastic material. The governing equations are normalized, standard nondimensional groups are defined and an order of magnitude analysis is performed for both the Newtonian fluid and visco- plastic representation of the stress tensor. The two models for the stress tensor are compared and shown to be equivalent for small values of the yield stress in pure stress. For incompressible flow, the energy and state equations decouple from the continuity and momentum equations providing a simplified set of governing equations for both models of the stress tensor. For the Newtonian fluid assumption, an analogy to unsteady boundary layer theory is made.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1978
Accession Number
ADA051935

Entities

People

  • William P. Walters

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Differential Equations
  • Equations
  • Equations Of State
  • Flow
  • Fluid Flow
  • Heat Transfer
  • Incompressible Flow
  • Materials
  • Mechanics
  • Military Research
  • Navier Stokes Equations
  • Pressure Gradients
  • Reynolds Number
  • Shaped Charge Jets
  • Shaped Charges

Fields of Study

  • Mathematics
  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.