Path-following for disjoint bifurcation problems arising in ignition theory

E. Balakrishnan*, A. Swift, G. C. Wake

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

7 اقتباسات (Scopus)


The correct formulation governing the ignition of a solid reactant undergoing slow oxidation gives rise to a nonlinear problem which in symmetrical geometries (infinite slab, cylinder, and sphere) is a two point boundary value problem. The discontinuity in the smallest branch of steady-states is the threshold for ignition. The solution branches are found by modifications of the path-following software (AUTO). Gross multiplicity of steady-states occurs for dimensions greater than two, and in all cases, the diagrams exhibit "disjointedness" for some parameter values which require special redefinition of the nonlinearity.

اللغة الأصليةEnglish
الصفحات (من إلى)9-15
عدد الصفحات7
دوريةMathematical and Computer Modelling
مستوى الصوت19
رقم الإصدار9
المعرِّفات الرقمية للأشياء
حالة النشرPublished - مايو 1994

ASJC Scopus subject areas

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  • ???subjectarea.asjc.1700.1706???


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