A Unified Theory of Solid Propellant Ignition. Part 1. Development of Mathematical Model

Abstract

The governing equations of solid propellant ignition in one space dimension are derived from conservation and transport considerations. The resulting mathematical model contains as subcases the existing gas phase, solid phase, and surface ignition theories. More important, it allows the effect of the site of chemical reaction on the ignition transient to be examined with consistent and compatible boundary conditions. Surface regression and the first order effect of nonunity Lewis number are retained to allow examination of the effect of these phenomena which are often neglected. Several second order terms are dropped from the more general equations in the interest of mathematical tractability; these include variable specific heat and transport coefficients. Finally, the physical equations are transformed for computer coding.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1974
Accession Number
AD0785231

Entities

People

  • H. H. Bradley Jr.

Organizations

  • Naval Air Weapons Station China Lake

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Chemical Reaction Properties
  • Chemical Reactions
  • Coefficients
  • Combustion
  • Computer Programs
  • Crystal Lattices
  • Decomposition
  • Energy
  • Energy Conservation
  • Energy Transfer
  • Equations
  • Flux Density
  • Heat Transfer
  • Ignition
  • Jet Propulsion
  • Mathematical Models
  • Surface Reactions

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Rocket Propulsion.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster