Open AccessOn Thermal Explosion of Sensitized Reaction with Variable Heat Loss
Author(s) -
K. S. Adegbie,
Felix Ilesanmi Alao
Publication year - 2007
Publication title -
american journal of applied sciences
Language(s) - English
Resource type - Journals
eISSN - 1554-3641
pISSN - 1546-9239
DOI - 10.3844/ajassp.2007.53.55
Subject(s) - variable (mathematics) , thermal , forensic engineering , materials science , environmental science , mechanics , thermodynamics , engineering , mathematics , physics , mathematical analysis
This study discusses the influence of heat loss on the critical ignition temperature and Frank-Kamenetskii parameter of a non-linear ordinary differential equation arising in thermal sensitized reaction. The reaction obeys the Arrhenius expression with temperature dependent pre-exponential factor, taking heat exchange between the reacting material and its surrounding into account. The consequences of heat loss are explored within the framework of one dimensional, steady state model. The numerical estimations based on shooting method techniques show the effect of heat loss parameter on the critical values of ignition temperature and Frank-Kamenetskii parameter