Combined symbolic and numerical approach to constrained nonlinear lumping - With application to an H2/O2 oxidation model

Genyuan Li, Herschel Rabitz

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

An approach to constrained nonlinear lumping for dimension reduction of chemical kinetic models is presented. The approach combines general symbolic methods of nonlinear lumping and numerical techniques to arrive at an analytically reduced model in practical applications of homogeneous kinetic systems. This method can be applied to any first- and second-order reaction system with arbitrary complexity. An H2/O2 oxidation model is used as an example for illustrating this method. The resultant lumped models given by modified first- and second-order approximations of nonlinear lumping have very good accuracy for the temperature and all the species. The modified second-order approximation can be applied to arbitrary initial conditions, but the formula is quite complicated. The modified first-order approximation has a simple form, but two empirical parameters need to be determined for a given initial condition.

Original languageEnglish (US)
Pages (from-to)4801-4816
Number of pages16
JournalChemical Engineering Science
Volume51
Issue number21
DOIs
StatePublished - Nov 1996

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Keywords

  • Complex reaction
  • lumping
  • model reduction

Fingerprint Dive into the research topics of 'Combined symbolic and numerical approach to constrained nonlinear lumping - With application to an H<sub>2</sub>/O<sub>2</sub> oxidation model'. Together they form a unique fingerprint.

  • Cite this