Explosive systems with reactant consumption. I. Critical conditions

✍ Scribed by B.F. Gray; M.E. Sherrington

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 800 KB
• Volume: 19
• Category: Article
• ISSN: 0010-2180
• DOI: 10.1016/0010-2180(72)90013-2

✦ Synopsis

Explosive Systems with Reactant Consumptkm, I. Critical Conditions It hns been S~OWII in B pneral WBY that the iproblam of stability in an explosive syrtsnt with reactant consumption can be solved by wcU known mathematical techniqrrcs, hitherto unapplied in this area. General criteria which mns~ be matistied b/ empirical solutions to :Ms problem, parti&+rly w_ifh respect to the Semcnov limit c + 0 arc exzlmincd. The nzquircment of continuity of I& cri!i~k:il paramcten is shown to rule out the fO+h) inflection criterion. The methods prrcenrcd ab we are IIBL restricted to the simple system described by equations (I) and (2). but in principlr: WI bc tlrcd IGR calculate the region or' s:abUity. and hence criticality, in more complex systems such asrutoctrtfrty~tz reactions, including intermediates. and chain Chermal explosions. The reqtiirement of continuity of thg so1utic.n 3s f: -+ 0 (which ia absolutely essential if all the work with E = 0 is nor to be disc&cd) imptics that the sohltion is a discontinuous function of the parsincter 4 for sufficiently smAl C. Ilk discontinuity will occur at the critical value of G for a given e and WE will only he able TV prove srsbdity in regions not Induding this discontinuity. which may well disappear for suflicicntlv large c (SW Appendix.).