𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Using MAPLE for the analysis of bifurcation phenomena in gas combustion

✍ Scribed by A. El Hamidi; M. Garbey

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
865 KB
Volume
187
Category
Article
ISSN
0304-3975

No coin nor oath required. For personal study only.

✦ Synopsis

We consider a three-dimensional thermal-diffusion model for a premixed burner flame. Many experimental and theoretical works in condensed-phase and gas combustion show that the flame front may propagate in a number of different ways. The structure and stability properties of the front depend essentially on the physical parameters of the model. This article describes the use of the symbolic manipulation language MAPLE for the analysis of bifurcation phenomena in gas combustion. It shows how symbolic manipulation languages can be combined effectively with analysis and numerical computations for this type of investigation.

πŸ“œ SIMILAR VOLUMES

The bifurcation analysis of the MHD Rank
The bifurcation analysis of the MHD Rankine–Hugoniot equations for a perfect gas
✍ Heinrich FreistΓΌhler; Christian Rohde πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 470 KB

This article provides a complete bifurcation analysis of the Rankine-Hugoniot equations for compressible magnetohydrodynamics (MHD) in the case of a perfect gas. Particular scaling properties of the perfect-gas equation of state are used to reduce the number of bifurcation parameters. The smaller nu

Analysis of the multiple hope bifurcatio
Analysis of the multiple hope bifurcation phenomena in a CSTR with two consecutive reactionsβ€”the singlularity theory approach
✍ Kee Hoh Byeon; In Jae Chung πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 625 KB

The singularity theory was applied to the analysis of the Hopf bifurcation phenomena by finding multiple Hopf bifurcation points. For a CSTR with two consecutive reactions, two third-order swallow-tail catastrophes were obtained. As the combined result obtained from the static bifurcation and the Ho