On transient heat analysis of a two-step convective reactive cylinder

Lebelo, Ramoshweu Solomon; Waetzel, M.; Mahlobo, Radley Kebarapetse; Moloi, Kholeka Constance; Adesanya, Samuel O.

doi:10.1088/1742-6596/1730/1/012141

Cited by 3 publications

(2 citation statements)

References 10 publications

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“…The influence of density variation with temperature is approximated following Boussinesque approximation. The equations governing the momentum and energy balance under the assumptions above are as follows [14][15][16]20,26]:…”

Section: Mathematical Analysismentioning

confidence: 99%

“…In addition, enhancement in the chemical reaction rate leads to increased heat generation in the stockpile, resulting in quick auto-ignition. Lebelo et al [14][15][16] examined the two-step thermal decomposition of combustible materials in a sphere. They identified that elevation in the two-step kinetic parameter diminishes the rate of heat loss on the sphere's surface, which, in turn, speeds up auto-ignition.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Mathematical Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2023

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Mathematical analysis of a combustible viscoelastic material in a cylindrical channel taking into account induced electric field: A spectral approach

Adeosun,

Adesanya,

Lebelo

et al. 2024

Nonlinear Engineering

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In spite of the enormous applications of heating combustible materials due to exothermic chemical reactions, scientists and engineers still face a problem with these materials’ tendency to self-ignition, which can result in significant property damage if serious precautions are not taken. Therefore, the thermal decomposition of combustible viscoelastic material in a cylindrical channel is investigated in this study. With a third-order constitutive model considered for viscoelastic flow behavior, momentum and energy-balanced governing equations are provided. The chemical reaction of the material is assumed exothermic and thus follows Arrhenius’s kinetics. A numerical solution is provided for the boundary value problem via the bivariate spectral collocation method, and the impact of kinetics parameters on the combustible viscoelastic material is investigated. Our findings show that self-ignition is delayed with higher values of activation energy parameter ( ε \varepsilon ) and third-order parameter ( γ \gamma ), as well as lower values of magnetic field parameter ( M M ), current density parameter ( δ \delta ), and electrical conductivity exponent ( m m ).

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

Adeosun¹,

Ukaegbu²,

Lebelo³

2023

Preprint

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Despite the immense application of combustion in reactive materials, one of the challenges people are facing globally is the auto-ignition of such materials, resulting in fire and explosion hazards if proper measures are not considered. 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 Carreau constitutive relation. The chemical reaction of the polymer material is assumed 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.

show abstract

On transient heat analysis of a two-step convective reactive cylinder

Cited by 3 publications

References 10 publications

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

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

Mathematical analysis of a combustible viscoelastic material in a cylindrical channel taking into account induced electric field: A spectral approach

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

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