Mark Nelson's Papers

You can read the abstracts for papers I published in a given year by clicking on the year in the list below. Alternatively, clicking on the title of one of papers will take you straight to the corresponding abstract.

1. M.I. Nelson, J. Brindley, and A.C. McIntosh. A Mathematical Model of Ignition in the Cone Calorimeter. Combustion Science and Technology, 104:35-54, 1995.
2. M.I. Nelson and J. Brindley. Modelling Char-Formation in Isothermal and Non-Isothermal Thermogravimetric Experiments. Thermochimica Acta, 258:175-188, July 1995.
3. M.I. Nelson, J. Brindley, and A.C. McIntosh. The Dependence of Critical Heat Flux on Fuel and Additive Properties: A Critical Mass Flux Model. Fire Safety Journal, 24(2):107-130, 1995.
4. M.I. Nelson, J. Brindley, and A.C. McIntosh. Ignition Properties of Thermally Thin Materials in the Cone Calorimeter: A Critical Mass Flux Model. Combustion Science and Technology, 113-114:221-241, 1996.
5. M.I. Nelson, J. Brindley, and A.C. McIntosh. Polymer Ignition. Mathematical and Computer Modelling, 24(8):39-46, October 1996.
6. M.I. Nelson, J. Brindley, and A.C. McIntosh. Ignition Properties of Thermally Thin Thermoplastics - The Effectiveness of Inert Additives in Reducing Flammability. Polymer Degradation and Stability, 54(2-3):255-267, 1996.
7. M.I. Nelson, J. Brindley, and A.C. McIntosh. The Effect of Heat Sink Additives on the Ignition and Heat Release Properties of Thermally Thin Thermoplastics. Fire Safety Journal, 28(1): 67-94, February 1997.
8. M.I. Nelson. Ignition Mechanisms of Thermally Thin Thermoplastics in the Cone Calorimeter. Proceedings of the Royal Society of London A, 454:789-814, 1998.
9. E. Balakrishnan, M.I. Nelson, and G.C. Wake. Radiative Ignition of Combustible Materials I. Polymeric Materials Undergoing Non-Flaming Thermal Degradation - The Critical Storage Problem.
Mathematical and Computer Modelling, 30:177-195, 1999.
10. M.I. Nelson and J. Brindley. Polymer Combustion: Effects of Flame Emissivity. Philosophical Transactions of the Royal Society of London Series A, 357:3655-3673, December 1999.
11. M.I. Nelson, G.C. Wake, and X.D. Chen. Heterogeneously catalysed combustion in a continuously stirred tank reactor - low temperature reactions. Combustion Theory and Modelling, 4(1): 1-27, March 2000.

Letters to the editor

12. M.I. Nelson, J. Brindley, and A.C. McIntosh. Letter to the Editor: Response. Fire Safety Journal, 25(4): 357-360, November 1996.

Accepted for publication in journals

13. M.I. Nelson, H.S. Sidhu, R.O. Weber, and G.N. Mercer. A dynamical systems model of the limiting oxygen index test. Accepted for publication in Journal of the Australian Mathematical Society B, January 1999.
14. M.I. Nelson, G.C. Wake, X.D. Chen, and E. Balakrishnan. The multiplicity of steady-state solutions arising from microwave heating: I Infinite biot number and small penetration depth. Accepted for publication in Journal of the Australian Mathematical Society B, April 1999.

Refereed conference proceedings

15. M.I. Nelson. A Dynamical Systems Model of Autoignition in the Cone Calorimeter. In Fire Safety Science: Proceedings of the Fifth International Symposium, pages 547-558. International Association for Fire Safety Science, 1997. ISBN 4-9900625-5-5. Contains material not yet published in refereed journals.

Unrefereed conference proceedings

16. M.I. Nelson. The Autoignition of Thermoplastics in the Cone Calorimeter: A Dynamical Systems Model. In Proceedings of the 16th International Colloquium on the Dynamics of Explosions and Reactive Systems, pages 494-497. Wydawnictwo,, Akapit'' (Kraków, Poland), 1997. ISBN 83-7108-028-X. Contains material not yet published in refereed journals.

Submitted

17. M.I. Nelson. Thermally thin thermoplastics with enhanced fire-resistant properties: A dynamical systems model. Submitted, 1999.
18. J.E.J. Staggs and M.I. Nelson. A critical mass flux model for the flammability of thermoplastics. Submitted, 1999.
19. M.I. Nelson, J. Brindley and A.C. McIntosh. Ignition properties of thermally thin plastics: The effectiveness of non-competitive char formation in reducing flammability.. Submitted, 1999.
20. E. Balakrishnan, M.I. Nelson and X.D. Chen. Microwave assisted ignition to achieve combustion synthesis. Submitted, 1999.
21. M.I. Nelson. A dynamical systems model of the limiting oxygen index test. II Retardancy due to char-formation and addition of inert fillers. Submitted, 1999.
22. A. McNabb and M.I. Nelson Comparison Theorems for Multicomponent Diffusion Systems: Developments since 1961. Submitted, 1999.
23. H.S. Sidhu, M.J. Sexton, M.I. Nelson, G.N. Mercer, and R.O. Weber. A Simple Combustion Process in a Semibatch Reactor. Submitted, 2000.