eng
International Academy of Ecology and Environmental Sciences
Computational Ecology and Software
2220-721X
2015-9-1
5
3
254
270
3
article
Measuring the complex behavior of the SO2 oxidation reaction
Muhammad Shahzad
1
2
Sumaira Rehman
1
2
Rabia Bibi
1
2
Hafiz Abdul Wahab
1
2
Saleem Abdullah
1
2
Sarfraz
Ahmed
1
2
Department of Mathematics, HazaraUniversity, Mansehra, 21300, Pakistan
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
The two step reversible chemical reaction involving five chemical species is investigated. The quasi equilibrium manifold (QEM) and spectral quasi equilibrium manifold (SQEM) are used for initial approximation to simplify the mechanisms, which we want to utilize in order to investigate the behavior of the desired species. They show a meaningful picture, but for maximum clarity, the investigation method of invariant grid (MIG) is employed. These methods simplify the complex chemical kinetics and deduce low dimensional manifold (LDM) from the high dimensional mechanism. The coverage of the species near equilibrium point is investigated and then we shall discuss moving along the equilibrium of ODEs. The steady state behavior is observed and the Lyapunov function is utilized to study the stability of ODEs. Graphical results are used to describe the physical aspects of measurements.
http://www.iaees.org/publications/journals/ces/articles/2015-5(3)/measuring-the-complex-behavior-of-SO2-oxidation-reaction.pdf
chemical kinetics
key variables
slow manifold
refinement
Lyapunov function