Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption
This paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant consumption. The nonlinear partial differential...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/239052 |
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| _version_ | 1832564591628910592 |
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| author | O. D. Makinde |
| author_facet | O. D. Makinde |
| author_sort | O. D. Makinde |
| collection | DOAJ |
| description | This paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant consumption. The nonlinear partial differential equation governing the transient reaction-diffusion problem is solved numerically using a semidiscretization finite difference technique. The steady-state problem is solved using a perturbation technique together with a special type of the Hermite-Padé approximants. Graphical results are presented and discussed quantitatively with respect to various embedded parameters controlling the systems. The crucial roles played by the boundary conditions in determining the thermal ignition criticality are demonstrated. |
| format | Article |
| id | doaj-art-104d5b16ee104505b4c9ef354f5701b9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-104d5b16ee104505b4c9ef354f5701b92025-02-03T01:10:42ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/239052239052Computational Modelling of Thermal Stability in a Reactive Slab with Reactant ConsumptionO. D. Makinde0Institute for Advance Research in Mathematical Modelling and Computations, Cape Peninsula University of Technology, P.O. Box 1906, Bellville 7535, South AfricaThis paper investigates both the transient and the steady state of a one-step nth-order oxidation exothermic reaction in a slab of combustible material with an insulated lower surface and an isothermal upper surface, taking into consideration reactant consumption. The nonlinear partial differential equation governing the transient reaction-diffusion problem is solved numerically using a semidiscretization finite difference technique. The steady-state problem is solved using a perturbation technique together with a special type of the Hermite-Padé approximants. Graphical results are presented and discussed quantitatively with respect to various embedded parameters controlling the systems. The crucial roles played by the boundary conditions in determining the thermal ignition criticality are demonstrated.http://dx.doi.org/10.1155/2012/239052 |
| spellingShingle | O. D. Makinde Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption Abstract and Applied Analysis |
| title | Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption |
| title_full | Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption |
| title_fullStr | Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption |
| title_full_unstemmed | Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption |
| title_short | Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption |
| title_sort | computational modelling of thermal stability in a reactive slab with reactant consumption |
| url | http://dx.doi.org/10.1155/2012/239052 |
| work_keys_str_mv | AT odmakinde computationalmodellingofthermalstabilityinareactiveslabwithreactantconsumption |