Skip to main content
×
Home
    • Aa
    • Aa

Bifurcation and hysteresis varieties for the thermal-chainbranching model II: positive modal parameter

  • Ian Stewart (a1) and Alexander Woodcock (a1)
Abstract

When hydrogen and oxygen react in a closed vessel, the reaction either happens slowly or explosively, depending on the initial temperature θ0 and pressure P. In the (θ0, P)-plane the boundary between these behaviours is represented by a curve. On this curve P is triple-valued over θ0 in certain ranges; that is, for certain initial temperatures there are three explosion limits. This phenomenon, known as the explosion peninsula, is among other things a sign that more than one elementary reaction is involved in the oxidation of hydrogen. Other reactions display similar effects.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1] M. Golubitsky and D. Schaeffer . A theory for imperfect bifurcation via singularity theory. Comm. Pure Appl. Math. 32 (1979), 2198.

[2] M. Golubitsky and D. Schaeffer . Imperfect bifurcation in the presence of symmetry. Comm. Math. Phys. 67 (1979), 205232

[4] M. Golubitsky , B. Keyfitz and D. Schaeffer . A singularity theory analysis of a thermal- chainbranching model for the explosion peninsula. Comm. Pure Appl. Math. 34 (1981), 433463.

[5] B. F. Gray . Theory of branching reactions with chain interaction. Trans. Faraday Soc. 66 (1970), 11181126

[6] B. F. Gray and C. H. Yang . On the unification of the thermal and chain theories of explosion limits. J. Chem. Phys. 69 (1965), 2747.

[8] I. N. Stewart . Applications of catastrophe theory to the physical sciences. Physica D (1981), 245305

[9] I. N. Stewart . Catastrophe Theory in physics. Rep. Progr. Phys. 45 (1982), 185221.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 1 *
Loading metrics...

Abstract views

Total abstract views: 30 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 27th May 2017. This data will be updated every 24 hours.