A Finite Element Approach to Response Function Calculations Including Multidimensional Radiative Heat Transfer.

Abstract

Effects of radiative heat transfer and nonlinear time-dependent phenomena are included in the formulation for calculations of response functions in the solid propellant rocket motor analysis. Specifically, integrations of radiative heat flux through optical depths by Gaussian quadrature with isoparametric finite elements are proposed. Although the formulation is based on the Arrhenius law with a one-step forward chemical reaction, such limitations can be relaxed because the governing equations are to be solved using the finite elements in which complications of the governing equations can easily be resolved. Detailed procedures for finite element solutions are demonstrated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 29, 1983
Accession Number
ADA146850

Entities

People

  • T. J. Chung

Organizations

  • University of Alabama in Huntsville

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Chemical Reactions
  • Equations
  • Gaussian Quadrature
  • Heat Flux
  • Heat Transfer
  • Propellants
  • Rocket Engines
  • Rockets
  • Solid Propellants

Readers

  • Combustion science or combustion engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Molecular Photonics/Laser Physics