Effect of Activation Energies on Thermal Explosion in the Interior of the Earth | Science Publications

Journal of Mathematics and Statistics

Amos Oladele Popoola¹ 

关键词: Homogenous reaction;    thermal explosion;    activation energy;    Gravitational Differentiation (GD);    Blow up;    dimensionless temperature;    activation energy ratio;    decay of radioactive;    exothermic reaction;    chemical decomposition;   

DOI  :  10.3844/jmssp.2011.222.226

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem statement: Literatures have shown that thermal processes in the interior of theearth and the classical thermal explosion are analogous and that combustion processes are characterizedby ignition and explosion. The heat released during the thermal explosion that occurs in the interior of theearth requires more attention. Approach: The study investigated the role of activation energies ratio inthe thermal explosion that occurs in the earth interior during gravitational differentiation. The studyexamined the effects of activation energies on the unsteady, steady and homogenous reactions of theresulting energy equation and provided the numerical and exact solutions of the equations. Results: Theresults showed that activation energies ratio has different implication in terms of heat release andestablished the criteria for the blow up to occur in two different homogenous reactions. It was observedthat an increase in activation energies ratio increased the maximum temperature of the reactions butreduced the ignition time of the homogenous states. Conclusion: The results imply that for any non-zerosecond activation energy, ignition time lowers and more heat are released.

【 授权许可】

Unknown