Abstract

In this article, we look at spontaneous combustion due to exothermic chemical reaction taking place within a stockpile of combustible material. The model includes mass and energy balance equations in a spherical domain. The complicated chemical reaction is simplified by considering a one-dimensional process. The differential equations governing the problem are solved using semi-implicit finite difference method. The effects of kinetic parameters embedded within the system are analyzed and the results are expressed graphically and discussed accordingly.

Highlights

  • Spontaneous combustion taking place in a stockpile of combustible material is due to oxygen trapped within the stockpile reacting with the carbon containing material

  • We see a decrease in oxygen concentration as time increases, until a steady-state situation is attained. The reason for this behavior is that oxygen is consumed during combustion and its concentration is reduced but more concentration thereof is toward the surface of the sphere and diffuses into the sphere to enhance exothermic chemical reaction

  • We investigated the effects of various parameters embedded within the system of a stockpile of combustible material modeled in a spherical domain

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Summary

Introduction

Spontaneous combustion taking place in a stockpile of combustible material is due to oxygen trapped within the stockpile reacting with the carbon containing material. If the heat generated is not appropriately transferred to the surroundings, the temperature of the system increases such that the rate of reaction increases exponentially according to Arrhenius law.[5,6] When the heat released due to exothermic chemical reaction is not dissipated to the surrounding environment, the reaction rate becomes faster and this may result in thermal runaway phenomena to a point where spontaneous ignition occurs.[7,8] The heat produced in a stockpile of combustible material determines temperature gradients across the stockpile These temperature gradients cause existence of natural convection, which pushes air into the stockpile to supply oxygen for the chemical reaction, but at the same time it cools the system with air at ambient temperature.[9] The chemical.

C À C0 Cb À C0
Results and discussion
Conclusion

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