5 Two-Step Exothermic Chemical Reaction for Heat Transfer Investigation …
57
5.4 Conclusion
The work in this article investigated the heat in transit of a chemical reaction undergoing a two-step mechanism occurring in a stockpile whose materials react spontaneously with the trapped oxygen. The study was modelled in a cylindrical domain.
A theoretical analysis using mathematical application was conducted to understand
the heat transfer process by observation of effects selected thermo-physical parameters have on the temperature during combustion. The study considered both the
temperature dependent and independent scenarios to demonstrate the heat transfer
process clearly. It was observed that parameters which increase the temperature
during combustion are α (reaction rate parameter), m (chemical kinetics type), ε (activation energy) and ω (two-step exothermic chemical reaction). The raise in temperature of the system is not good for environmental purposes, because global warming
and depletion of the ozone layer are the results. Global warming has contributed so
much to climate change. The parameter that lowers the system’s temperature was
identified as ϕ (heat loss parameter). In general, the results obtained agree with the
literature in [2, 3, 6, 8]. A future study can consider material’s thermal conductivity
that is temperature dependent.
References
1. Hamza, B.H., Massawe, E.S., Makinde, O.D.: Analysis of transient heating due to exothermic
reaction in a stockpile of combustible material. Int. J. Phys. Sci. 6(18), 4337–4341 (2011)
2. Lebelo, R.S., Okosun, K.O., Mtunzi, F., Muthuvalu, M.S., Mahlobo, R.K.: Thermal stability
and reactant consumption analysis in a reactive cylinder of variable thermal conductivity. Int.
Rev. Mech. Eng. 11, 787–796 (2017)
3. Lebelo, R.S.: Thermal stability investigation in a reactive sphere of combustible material. Adv.
Math. Phys. 1, 1–6 (2016)
4. Bebernes, J., Eberly, D.: Mathematical Problems from Combustion Theory. Springer, New
York (1989)
5. Frank-Kamenetskii, D.A.: Diffusion and Heat Transfer in Chemical Kinetics. Plenum Press,
New York (1969)
6. Lebelo, R.S., Makinde, O.D., Chinyoka, T.: Thermal decomposition analysis in a sphere of
combustible materials. Adv. Mech. Eng. 9(2), 1–14 (2017)
7. Lohrer, C., Krause, U., Steinbach, J.: Self-ignition of combustible bulk materials under various
ambient conditions. Process Saf. Environ. Prot. 83(2), 145–150 (2005)
8. Hensel, W., Krause, U., Loffler, U.: Self-ignition of materials (including dust). In: Hartwig, M.,
Steen, H. (eds.) Handbook of explosion prevention and protection. Wiley-VCH 2.7, Weinheim,
pp. 227–270 (2004)
9. Makinde, O.D., Tshehla, M.S.: Analysis of thermal stability in a convecting and radiating
two-step reactive slab. Adv. Mech. Eng. 1, 1–9 (2013)
10. Lebelo, R.S., Moloi, K.C., Okosun, K.O., Mukamuri, M., Adesanya, S.O., Muthuvalu, M.S.:
Two-step low-temperature oxidation for thermal stability analysis of a combustible sphere.
Alexandria Eng. J. 57(4), 2829–2835 (2018)
11. Makinde, O.S., Adegbie, K.S., Fasoranbaku, O.A.: Mathematical modelling of two-step
exothermic reactions with and without reactants consumption. FUTA J. Res. Sci. 1, 44–53
(2013)
57
5.4 Conclusion
The work in this article investigated the heat in transit of a chemical reaction undergoing a two-step mechanism occurring in a stockpile whose materials react spontaneously with the trapped oxygen. The study was modelled in a cylindrical domain.
A theoretical analysis using mathematical application was conducted to understand
the heat transfer process by observation of effects selected thermo-physical parameters have on the temperature during combustion. The study considered both the
temperature dependent and independent scenarios to demonstrate the heat transfer
process clearly. It was observed that parameters which increase the temperature
during combustion are α (reaction rate parameter), m (chemical kinetics type), ε (activation energy) and ω (two-step exothermic chemical reaction). The raise in temperature of the system is not good for environmental purposes, because global warming
and depletion of the ozone layer are the results. Global warming has contributed so
much to climate change. The parameter that lowers the system’s temperature was
identified as ϕ (heat loss parameter). In general, the results obtained agree with the
literature in [2, 3, 6, 8]. A future study can consider material’s thermal conductivity
that is temperature dependent.
References
1. Hamza, B.H., Massawe, E.S., Makinde, O.D.: Analysis of transient heating due to exothermic
reaction in a stockpile of combustible material. Int. J. Phys. Sci. 6(18), 4337–4341 (2011)
2. Lebelo, R.S., Okosun, K.O., Mtunzi, F., Muthuvalu, M.S., Mahlobo, R.K.: Thermal stability
and reactant consumption analysis in a reactive cylinder of variable thermal conductivity. Int.
Rev. Mech. Eng. 11, 787–796 (2017)
3. Lebelo, R.S.: Thermal stability investigation in a reactive sphere of combustible material. Adv.
Math. Phys. 1, 1–6 (2016)
4. Bebernes, J., Eberly, D.: Mathematical Problems from Combustion Theory. Springer, New
York (1989)
5. Frank-Kamenetskii, D.A.: Diffusion and Heat Transfer in Chemical Kinetics. Plenum Press,
New York (1969)
6. Lebelo, R.S., Makinde, O.D., Chinyoka, T.: Thermal decomposition analysis in a sphere of
combustible materials. Adv. Mech. Eng. 9(2), 1–14 (2017)
7. Lohrer, C., Krause, U., Steinbach, J.: Self-ignition of combustible bulk materials under various
ambient conditions. Process Saf. Environ. Prot. 83(2), 145–150 (2005)
8. Hensel, W., Krause, U., Loffler, U.: Self-ignition of materials (including dust). In: Hartwig, M.,
Steen, H. (eds.) Handbook of explosion prevention and protection. Wiley-VCH 2.7, Weinheim,
pp. 227–270 (2004)
9. Makinde, O.D., Tshehla, M.S.: Analysis of thermal stability in a convecting and radiating
two-step reactive slab. Adv. Mech. Eng. 1, 1–9 (2013)
10. Lebelo, R.S., Moloi, K.C., Okosun, K.O., Mukamuri, M., Adesanya, S.O., Muthuvalu, M.S.:
Two-step low-temperature oxidation for thermal stability analysis of a combustible sphere.
Alexandria Eng. J. 57(4), 2829–2835 (2018)
11. Makinde, O.S., Adegbie, K.S., Fasoranbaku, O.A.: Mathematical modelling of two-step
exothermic reactions with and without reactants consumption. FUTA J. Res. Sci. 1, 44–53
(2013)