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Mathematical Problems in Engineering
Volume 2015, Article ID 614143, 8 pages
http://dx.doi.org/10.1155/2015/614143
Research Article

Mathematical Modeling of Heat and Mass Transfer Processes with Chemical Reaction at Polymeric Material Ignition by Several Small-Size Hot Particles

National Research Tomsk Polytechnic University, 30 Lenin Avenue, Tomsk 634050, Russia

Received 9 May 2014; Revised 7 July 2014; Accepted 13 October 2014

Academic Editor: Christopher Gunaseelan Jesudason

Copyright © 2015 Dmitrii O. Glushkov and Pavel A. Strizhak. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Numerical research of interconnected heat and mass transfer processes in the “two hot particles—polymeric material—air” system was executed. The joint effect of several local heat sources on the main integrated characteristic of ignition process (ignition delay time) was established. Two ignition models characterized by the relative positioning of hot particles on a polymeric material surface were revealed. Besides, there were established characteristics of local heat sources and the distance between them (700  K and or  K and when regularities of heat and mass transfer processes in the “two hot particles—polymeric material—air” system are similar to regularities of heat and mass transfer processes in the “single hot particle—polymeric material—air” system.