Physical assessments on chemically reacting species and reduction schemes for the approximation of invariant manifolds

Abstract

We have simplified the complex chemical reaction by reducing it from a high dimension to a low dimension to observe the behavior of participating species near the equilibrium point and obtained their solution curves without affecting the accuracy of the whole mechanism. For this purpose, we have applied three well-established techniques: Quasi Equilibrium Manifold (QEM), Spectral Quasi Equilibrium Manifold (SQEM) and Intrinsic Low Dimension Manifold (ILDM) over a Ternkin-Boudart Mechanism. However, the invariant solution curves and their comparison for the reduced species of Ternkin-Boudart reaction mechanism have never been reported so far. Therefore, the aim of this article is to study such facts. All the above-mentioned model-reduction techniques are applied to solve the high dimensional complex problem and comparison between invariant curves of the reduced species is presented graphically and leading towards the higher dimensional manifold. The efficiency of ILDM is compared with the QEM and SQEM graphically and in tabulated form by using MATLAB.