Investigating Thermal Stability in a Two-Step Convective Radiating Cylindrical Pipe

Abstract:

Thermal stability in a stockpile of reactive materials is analyzed in this article. The combustion process is modelled in a long cylindrical pipe that is assumed to lose heat to the surrounding environment by convection and radiation. The study of effects of different kinetic parameters embedded on the governing differential equation, makes it easier to investigate the complicated combustion process. The combustion process results with nonlinear molecular interactions and as a result it is not easy to solve the differential equation exactly, and therefore the numerical approach by using the Finite Difference Method (FDM) is applied. The numerical solutions are depicted graphically for each parameter’s effect on the temperature of the system. In general, the results indicate that kinetic parameters like the reaction rate promote the exothermic chemical reaction process by increasing the temperature profiles, whilst kinetic parameters such as the order of the reaction show the tendency to retard the combustion process by lowering the temperature of the system.

• Periodical: Defect and Diffusion Forum (Volume 408)
• Pages: 99-107
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.408.99
• Online since: April 2021
• Authors: Ramoshweu Solomon Lebelo*, Radley Kebarapetse Mahlobo, Samuel Olumide Adesanya
• Keywords: Convective Heat Loss, Cylindrical Domain, Thermal Stability, Two-Step Exothermic Chemical Reaction

References

[1] O.D. Makinde, On the thermal decomposition of reactive materials of variable thermal conductivity and heat loss characteristics in a long pipe, J. Energetic Mat. 30 (2012) 283- 298.

DOI: 10.1080/07370652.2011.566598

[2] O.D. Makinde, Strongly exothermic explosions in a cylindrical pipe: a case study of series summation technique, Mech. Res. Commun. 32 (2005) 191–195.

DOI: 10.1016/j.mechrescom.2004.02.008

[3] G. Nyamadzawo, W. Gwenzi, A. Kanda1, A. Kundhlande, C. Masona, Understanding the Causes, socio-economic and environmental impacts, and management of veld fires in tropical Zimbabwe, Fire Science Reviews 2(2) (2013) 1 – 13.

DOI: 10.1186/2193-0414-2-2

[4] R.S. Lebelo, O.D. Makinde, Numerical investigation of CO2 emission and thermal stability of a convective and radiative stockpile of reactive material in a cylindrical pipe, Adv. Mech. Eng. 7(12) (2015) 1–11.

DOI: 10.1063/1.4898446

[5] B.H. Hamza, E.S. Massawe, O.D. Makinde, Analysis of transient heating due to exothermic reaction in a stockpile of combustible material, Int. J. Phys. Sci. 6 (2011) 4337 – 4341.

[6] 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 Conference Record 36345.

DOI: 10.1109/wsmeap.2015.7338218

[7] E. Balakrishnan, A. Swift, G.C. Wake, Critical values for some non-class geometries in thermal ignition theory, Math. Comp. Modell 24 (1996) 1-10.

DOI: 10.1016/0895-7177(96)00133-1

[8] A.A. Lacey, G.C. Wake, Thermal ignition with variable thermal conductivity, J. Appl. Math. 28 (1982) 23 – 39.

DOI: 10.1093/imamat/28.1.23

[9] C. Lohrer, M. Schmidt, U. Krause, A study on the influence of liquid water and water vapour on the self-ignition of lignite coal-experiments and numerical simulations, J. Loss Prev. Process. Ind. 18 (2005) 167–177.

DOI: 10.1016/j.jlp.2005.03.006

[10] A.M.K. Legodi, O.D. Makinde, A numerical study of steady state exothermic reaction in a slab with convective boundary conditions, Int. J. Phys. Sci. 6(10) (2011) 2541-2549.

[11] R.S. Lebelo, Transient heat and reactant consumption investigation in a cylindrical pipe of variable thermal conductivity, DDF 392 (2019) 178-188.

DOI: 10.4028/www.scientific.net/ddf.392.178

[12] R.S. Lebelo, Thermal stability investigation in a reactive sphere of combustible material, Adv. Math.

[13] R.S. Lebelo, R.K. Mahlobo, S.O. Adesanya, Reactant consumption and thermal decomposition analysis in a two-step combustible slab, DDF 393 (2019) 59-72.

DOI: 10.4028/www.scientific.net/ddf.393.59

[14] D. A. Frank-Kamenetskii, Diffusion and heat transfer in chemical kinetics, Plenum Press, New York, (1969).

[15] S. VanBeek, et al., Thermal stability analysis and modelling of advanced perpendicular magnetic tunnel Junctions, AIP ADVANCES 8 (2018) 055909-1 - 055909-6.

DOI: 10.1063/1.5007690

[16] A. Klapiszewski, K. Bula, M. Sobczak, T. Jesionowski, Influence of processing conditions on the thermal stability and mechanical properties of pp/silica-lignin composite, International Journal of Polymer Science (2016) ID 1627258, 1 – 9.

DOI: 10.1155/2016/1627258

[17] Y. Kuo, Application of thermal convection to stability analysis of lithograph, Heat Mass Transfer 47 (2011) 1395–1399.

DOI: 10.1007/s00231-011-0798-4

[18] M. Shamsipur, S.M. Pourmortazavi, A.A.M. Beigi, R. Heydari, M. Khatibi, Thermal stability And decomposition kinetic studies of acyclovir and zidovudine drug compounds, AAPS Pharm Sci Tech 14 (2013) 287 – 293.

DOI: 10.1208/s12249-012-9916-y

[19] H. Vahabi, et al., Thermal stability and flammability behavior of Poly(3-hydroxybutyrate) (PHB) based composites, Materials 12 (2239) (2019) 1 – 14.

DOI: 10.3390/ma12142239

[21] O.D. Makinde, M.S. Tshehla, Analysis of thermal stability in a convecting and radiating two- step reactive slab, Adv. Mech. Eng. (2013) 1-9.

DOI: 10.1155/2013/294961

[22] R.S. Lebelo, On heat transfer of a two-step radiating slab of variable thermal conductivity, MSF 987 (2020) 137-141.

DOI: 10.4028/www.scientific.net/msf.987.137

[23] R.S. Lebelo, R.K. Mahlobo, K.C. Moloi, Thermal Stability Analysis in a Two-Step Reactive Cylindrical Stockpile, AJAS 15 (2) (2018) 124-131.

DOI: 10.3844/ajassp.2018.124.131

[24] R.S. Lebelo, K.C. Moloi, K.O. Okosun, M. Mukamuri, S.O. Adesanya, M.S. Muthuvalu, Two- step low-temperature oxidation for thermal stability analysis of a combustible sphere, AEJ 57 (2018) 2829–2835.

DOI: 10.1016/j.aej.2018.01.006