Thermal Stability and Reactant Consumption Analysis in a Reactive Cylinder of Variable Thermal Conductivity

Ramoshweu Solomon Lebelo; Kazeem O. Okosun; Fanyana Mtunzi; Mohana S. Muthuvalu; Radley K. Mahlobo

doi:10.15866/ireme.v11i11.12265

Thermal Stability and Reactant Consumption Analysis in a Reactive Cylinder of Variable Thermal Conductivity

Ramoshweu Solomon Lebelo^(1*), Kazeem O. Okosun⁽²⁾, Fanyana Mtunzi⁽³⁾, Mohana S. Muthuvalu⁽⁴⁾, Radley K. Mahlobo⁽⁵⁾

^(*) Corresponding author

Authors' affiliations

DOI: https://doi.org/10.15866/ireme.v11i11.12265

Abstract

In this article, we consider thermal stability and oxygen consumption rate in a reactive stockpile material and at the same time spontaneously combusts. Spontaneous combustion usually takes place when a material containing carbon or hydrocarbon reacts with oxygen that is trapped within the stockpile due to low-temperature oxidation. Heat is one of the products of combustion in any exothermic chemical reaction, and in this case, complete combustion is assumed with the reactant oxygen consumption. The study is done theoretically with the application of energy and mass transfer equations, to give an understanding of the complicated process of combustion. The nonlinear differential equations governing the problem are solved numerically using semi-implicit finite difference method (FDM). The reactant and the temperature behaviors are depicted graphically, and results are discussed accordingly.
Copyright © 2017 Praise Worthy Prize - All rights reserved.

Keywords

Cylinder; Oxygen Consumption; Thermal Stability; Numerical Methods

Full Text:

PDF

References

J. Bebernes, D. Eberly, Mathematical Problems from Combustion Theory (2nd edition, Springer, 1989).

O. D. Makinde, M. S. Tshehla, Analysis of thermal stability in a convecting and radiating two-step reactive slab, Advances in Mechanical Engineering, vol. 2013, pp. 1-9, 2013.
http://dx.doi.org/10.1155/2013/294961

A. A. Lacey, G. C. Wake, Thermal ignition with variable thermal conductivity, IMA Journal of Applied Mathematics, vol. 28, pp. 23-39, 1982.
http://dx.doi.org/10.1093/imamat/28.1.23

P. C. Bowes, Self-Heating: Evaluating and controlling the hazards (2nd edition, Elsevier, 1984).
http://dx.doi.org/10.1016/0376-6349(85)90015-x

E. Balakrishnan, A. Swift, G. C. Wake, Critical values for some non-class A geometries in thermal ignition theory, Mathematical and Computer Modelling, vol. 24, pp. 1–10, 1996.
http://dx.doi.org/10.1016/0895-7177(96)00133-1

R. S. Lebelo, Convective and radiative heat loss impact on CO2 emission, O2 depletion and thermal stability in a reactive slab of variable thermal conductivity, IEEE Conf. Record 36345, Sousse, 2015, pp. 1-7.
http://dx.doi.org/10.1109/wsmeap.2015.7338218

C. Lohrer, U. Krause, J. Steinbach, Self-ignition of combustible bulk materials under various ambient conditions, Trans. Inst. Chem. Eng. (IChemE), vol. 83, pp. 145–150, 2005.
http://dx.doi.org/10.1205/psep.04234

Q. Xiong, and S. Kong, Modelling effects of interphase transport coefficients on biomass pyrolysis in fluidized beds, Power Technology, vol. 262, pp. 96-105, 2014.
http://dx.doi.org/10.1016/j.powtec.2014.04.062

F. S. Dainton, Chain reaction: An introduction, (1st edition, Wiley, 1960).
http://dx.doi.org/10.9774/gleaf.978-1-907643-57-6_14

R. S. Lebelo, O. D. Makinde, Modelling the impact of radiative heat loss on CO2 emission, O2 depletion and thermal stability in a reactive slab, IJST, Transaction of Mechanical Engineering, vol. 39, n. M2, pp. 351-365, 2015.
http://dx.doi.org/10.1109/wsmeap.2015.7338218

O. D. Makinde, Hermite-Pade´ approach to thermal stability of reacting masses in a slab with asymmetric convective cooling, Journal of Franklin Institute, vol. 349, pp. 957–965, 2012.
http://dx.doi.org/10.1016/j.jfranklin.2011.12.001

R. S. Lebelo, O. D. Makinde, T. Chinyoka, Thermal decomposition analysis in a sphere of combustible materials, Advances in Mechanical Engineering, vol. 9, pp. 1–14, 2017.
http://dx.doi.org/10.1177/1687814017692515

O. D. Makinde, Computational modelling of thermal stability in a reactive slab with reactant consumption, Abstract and Applied Analysis, vol. 2012, pp. 1-13, 2012.
http://dx.doi.org/10.1155/2012/239052

R. S. Lebelo, Thermal stability investigation in a reactive sphere of combustible material, Advances in Mathematical Physics, vol. 2016, pp. 1-6, 2016.
http://dx.doi.org/10.1155/2016/9384541

Krishna Mohan, S., Ramanathan, S., Ramakrishnan, V., Thermo Physical Property Measurement of Ti-6Al-4V Alloy and Ti-6Al-4V/Nano SiCp Composites, (2014) International Review of Mechanical Engineering (IREME), 8 (6), pp. 992-996.
http://dx.doi.org/10.15866/ireme.v8i6.3732

Abuelnuor, A., Wahid, M., Saat, A., Abdalla, M., Hosseini, S., Flameless Combustion and the Effect of Air Preheat on the Combustion Performance: a Review, (2016) International Journal on Energy Conversion (IRECON), 4 (4), pp. 105-114.

Refbacks

There are currently no refbacks.

Username
Password
Remember me