Thermal decomposition analysis in a sphere of combustible materials

Lebelo, Ramoshweu Solomon; Makinde, Oluwole Daniel; Chinyoka, T.

doi:10.1177/1687814017692515

Cited by 20 publications

(10 citation statements)

References 13 publications

(27 reference statements)

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“…We employ consistent, efficient, accurate, and robust semi-implicit finite difference algorithms for the solution process of the governing equations, see for example [23,24,25,26,28,27] for details. Taking 0 ≤ ξ ≤ 1, the implicit terms, for our semi-implicit algorithms, correspond to the intermediate time level (N + ξ).…”

Section: Numerical Proceduresmentioning

confidence: 99%

Computational Irreversibility Analysis in Transient Flow of a Non-Newtonian Fluid through a Channel with Porous Walls

Chinyoka

Makinde

2023

DFMA

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A second law analysis is explored to investigate the irreversibility properties in a transient, porous channel flow of a viscous, incompressible, and non-Newtonian fluid. The non-Newtonian fluid model is of a Generalized Newtonian Fluid type with no elastic properties but with shear-thinning viscosity. Additionally, given that the flow is non-isothermal, the viscosity is therefore expectedly also assumed to be temperature dependent. The porous channel is subjected to constant suction and injection of fluid through the walls. Computational solutions for the underlying fluid dynamical equations, based on robust finite difference numerical techniques, are developed and implemented in time and space. We demonstrate the effects of the embedded fluid flow and heat transfer parameters on the fluid velocity and temperature profiles. We also explore the competing effects of heat transfer irreversibility versus fluid friction irreversibility. The major observations are that, in the flow regions where the maximum velocity obtains, heat transfer irreversibility significantly dominates over the otherwise insignificant fluid friction irreversibility. It is also observed that, in those flow regions away from the region of maximum velocity, the opposite scenario obtains, and hence fluid friction irreversibility significantly dominates over heat transfer irreversibility. Along the channel walls, fluid friction irreversibility notably dominates over heat transfer irreversibility. The possibility that certain parameter choices may lead to reverse scenario is not discounted.

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Section: Numerical Proceduresmentioning

confidence: 99%

Computational Irreversibility Analysis in Transient Flow of a Non-Newtonian Fluid through a Channel with Porous Walls

Chinyoka

Makinde

2023

DFMA

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“…Some mathematical models that are less expensive and faster than experimental approaches have been implemented in the literature to explain the auto-ignition of combustible materials in a stockpile. For instance, a one-step combustion process of heat transfer in a spherical channel was investigated in [12,13]. According to their reports, the system maintains stability as heat escapes into the atmosphere.…”

Section: Introductionmentioning

confidence: 99%

“…Motivated by the reviewed literature in [12][13][14]22,28], this study focuses on an investigation of the thermal decomposition of Carreau fluid in a rectangular stockpile with variable thermophysical properties. It is believed that this present study has not been reported in the literature.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of a Combustible Polymer in a Rectangular Stockpile: A Spectral Approach

2023

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Despite the wide application of combustion in reactive materials, one of the challenges faced globally is the auto-ignition of such materials, resulting in fire and explosion hazards. To avoid this unfortunate occurrence, a mathematical model describing the thermal decomposition of combustible polymer material in a rectangular stockpile is formulated. A nonlinear momentum equation is provided with the assumption that the combustible polymer follows a Carreau constitutive relation. The chemical reaction of the polymer material is assumed to be exothermic; therefore, Arrhenius’s kinetic theory is considered in the energy balance equation. The bivariate spectral local linearization scheme (BSLLS) is utilized to provide a numerical solution for the dimensionless equations governing the problem. The obtained results are validated by the collocation weighted residual method (CWRM), and a good agreement is achieved. Dimensionless velocity, temperature, and thermal stability results are presented and explained comprehensively with suitable applications. Some of the obtained results show that thermal criticality increases with increasing power law index (n) and radiation (Ra) values and decreases with increasing variable viscosity (β1) and material parameter (We) values.

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“…The combustion process is so complicated and results with nonlinear molecular interactions [8][9], hence the ODE governing the problem is nonlinear and can only be solved by numerical methods, and in this case, the RKF45 coupled with the Shooting technique is employed [10][11]. Many studies on heat transfer analysis were carried out in a rectangular slab [12][13], cylindrical pipe [14][15], and spherical domain [16]. In the investigations done already, a one-step complete combustion process represented by the following equation was considered:…”

Section: Introductionmentioning

confidence: 99%

Transient Heat Analysis in a Two-Step Radiative Combustible Slab

Lebelo

Moloi

2021

KEM

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In this article, analysis of heat transfer in a stockpile of reactive materials modelled in a rectangular slab is carried out. A two-step exothermic chemical reaction is assumed and the heat loss to the surrounding environment is by radiation. The ordinary differential equation (ODE) governing the problem is tackled numerically by Runge-Kutta Fehlberg (RKF45) method coupled with Shooting technique. The heat transfer analysis is simplified by investigation some kinetic parameters’ effects on the temperature of the combusting system. It was found out that some kinetic parameters raise the levels of the temperature by encouraging the exothermic chemical reaction, whereas some, reduce the levels of the temperature to slow down the heat transfer rate. The results are depicted graphically and discussed accordingly.

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Thermal decomposition analysis in a sphere of combustible materials

Cited by 20 publications

References 13 publications

Computational Irreversibility Analysis in Transient Flow of a Non-Newtonian Fluid through a Channel with Porous Walls

Computational Irreversibility Analysis in Transient Flow of a Non-Newtonian Fluid through a Channel with Porous Walls

Numerical Investigation of a Combustible Polymer in a Rectangular Stockpile: A Spectral Approach

Transient Heat Analysis in a Two-Step Radiative Combustible Slab

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