Lumped Model Generation and Evaluation: Sensitivity and Lie Algebraic Techniques with Applications to Combustion

Abstract

This program dealt with the development and application of new approaches for producing and evaluating semi-empirical (lumped parameter) mathematical models of physical processes. Procedures using local sensitivity gradient methods were used to study the existing lumped kinetic models for the moist carbon monoxide oxidation to show that transport processes can cause oversimplified lumped models derived from homogeneous kinetics to fail when applied to flame propagation systems. New models are under development which will include the appropriate level of detail. A Lie group formalism was developed to address global parameter space mapping issues for first order differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1986
Accession Number
ADA174984

Entities

People

  • F. L. Dryer
  • H. Rabitz
  • R. Yetter

Organizations

  • Princeton University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Algebra
  • Carbon Monoxide
  • Chemical Compounds
  • Chemical Engineering
  • Chemical Reactions
  • Chemistry
  • Combustion
  • Combustion Chambers
  • Computational Science
  • Dielectric Gases
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Lie Groups
  • Mechanical Engineering
  • Molecular Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Combustion science or combustion engineering.
  • Theoretical Analysis.

Technology Areas

  • Space