We investigate multiple steady state solutions of the heat balance equation for material undergoing an exothermic reaction over some closed region, using dimensionless form of the relevant steady state reaction-diffusion equation. Arrhenius kinetics are assumed and two cases considered, namely, the well known Frank-Kamenetskii approximation ("old" variable case) and the "new" variable approach of Burnell et al. In each case, we show that there exist multiple solutions. Further more, a well known approximate method gives a different number of solutions than a direct solution method in each of these two cases.
|Number of pages||2|
|Journal||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|Issue number||SUPPL. 5|
|Publication status||Published - 1996|
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics