The Noble-Abel Equation of State: Thermodynamic Derivations for Ballistic Modelling

Abstract

Accurate modelling of gun interior ballistics promotes more efficient gun and propelling charge design. In order to simulate interior ballistic flowfields, such models require a description of the thermodynamic behaviour of the propellant gas. The Noble-Abel equation provides a simple and reasonably accurate equation of state for propellant gases at the high densities and temperature experienced in guns. Most computational fluid dynamics-base ballistics models, however, require additional thermodynamic functions which must be derived form the equation of state. This note presents the derivation of such thermodynamic functions for Noble-Abel gases. Although the derivations are geared toward the functional requirements of the commercial Fluent code, the results are equally applicable to all computational fluid dynamics solvers. Also presented is a brief numerical example for a typical propellant, highlighting the different thermodynamics of the Noble-Abel and ideal gas equations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2005
Accession Number
ADA444005

Entities

People

  • Ian A. Johnston

Organizations

  • Defence Science and Technology Group

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Australia
  • Computational Fluid Dynamics
  • Dynamics
  • Energy
  • Engineering
  • Equations
  • Equations Of State
  • Fluid Dynamics
  • Ideal Gas Law
  • Interior Ballistics
  • Mechanical Engineering
  • Propellants
  • Simulations
  • Specific Heat
  • Specific Volume
  • Weapons

Readers

  • Combustion science or combustion engineering.
  • Computational Fluid Dynamics (CFD)
  • ballistics.