Abstract
Problem statement: Literatures have shown that thermal processes in the interior of the earth and the classical thermal explosion are analogous and that combustion processes are characterized by ignition and explosion. The heat released during the thermal explosion that occurs in the interior of the earth requires more attention. Approach: The study investigated the role of activation energies ratio in the thermal explosion that occurs in the earth interior during gravitational differentiation. The study examined the effects of activation energies on the unsteady, steady and homogenous reactions of the resulting energy equation and provided the numerical and exact solutions of the equations. Results: The results showed that activation energies ratio has different implication in terms of heat release and established the criteria for the blow up to occur in two different homogenous reactions. It was observed that an increase in activation energies ratio increased the maximum temperature of the reactions but reduced the ignition time of the homogenous states. Conclusion: The results imply that for any non-zero second activation energy, ignition time lowers and more heat are released.
Highlights
Explosion generally results from two exothermic more scientific attention and knowledge
The ignition source is activated steps are involved in chemical reaction but two major during gravitational differentiation and when the steps are basically involved and these include chemical gaseous heated materials come in contact with magma, decomposition and combustion process
Combustion problems are characterized by two Having been motivated by (Ayeni et al, 2006; processes; Ignition and Explosion; and some of the Vityazev, 2004) in their work on thermal explosion in useful results on classical thermal explosion are the evolution of the earth and for which they considered recently obtained in (Kannan and Udayakumar, 2009). only one activation energy for the entire process
Summary
Earthquake is a recent natural disastrous elements. Explosion generally results from two exothermic more scientific attention and knowledge. Combustion problems are characterized by two Having been motivated by (Ayeni et al, 2006; processes; Ignition and Explosion; and some of the Vityazev, 2004) in their work on thermal explosion in useful results on classical thermal explosion are the evolution of the earth and for which they considered recently obtained in (Kannan and Udayakumar, 2009). Thermal processes occur in the earth study extends their work by breaking the interior, differ from characteristic thermal activation energy into two; one for decomposition and explosion but according to The thermal conductivity equation governing the generation of heat during GD and the decay of radioactive elements is given by (Ayeni et al, 2006; Vityazev, 2004): ρlp.
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