The problem of reduce description in chemical kinetics

Abstract

A comprehensive comprehension of the concept of the gradual unchanging manifold (GUM) gives rise to numerous techniques for reducing models (TRM) in dissipative systems of chemical kinetics for mechanical engineering problems. This research calculates and contrasts the unchanging solutions for multi-route systems. The TRM, such as the Intrinsic Low Dimensional (ILDM), Quasi Equilibrium Manifold (QEM), and Spectral Quasi Equilibrium Manifold (SQEM), are utilized to construct the gradual unchanging manifolds, which function as primary approximations to GUM. By employing the Method of Invariant Grid (MIG), the enhancements of QEM solutions are computed imposing the effect of activation energy. Our discoveries suggest that we could assess each route independently rather than taking into account the entire mechanism. Local sensitivity analysis is conducted using the SimBiology toolbox of MATLAB. To compare TRM, the calculation period is presented in tabular form.

Keywords

• Mathematical modeling
• Model reduction techniques
• Reaction-routes
• Sensitivity analysis
• Method of invariant grids