Modeling and analytical simulation of a smouldering carbonaceous rod

Modeling of pyrolysis and combustion in a smouldering fuel bed requires the solution of flow, heat and mass transfer through porous media. This paper presents an analytical method for describing the smouldering of a porous carbonaceous rod. We assume that no local thermal equilibrium exist between...

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Main Authors: A.A. Mohammed, R.O. Olayiwola, M Eseyin, A.A. Wachin
Format: Article
Language:English
Published: Joint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP) 2017-11-01
Series:Journal of Applied Sciences and Environmental Management
Subjects:
Online Access:https://www.ajol.info/index.php/jasem/article/view/163354
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author A.A. Mohammed
R.O. Olayiwola
M Eseyin
A.A. Wachin
author_facet A.A. Mohammed
R.O. Olayiwola
M Eseyin
A.A. Wachin
author_sort A.A. Mohammed
collection DOAJ
description Modeling of pyrolysis and combustion in a smouldering fuel bed requires the solution of flow, heat and mass transfer through porous media. This paper presents an analytical method for describing the smouldering of a porous carbonaceous rod. We assume that no local thermal equilibrium exist between the phases. Also, the initial temperatures are assumed to depend on space variable. We prove the existence and uniqueness of solution of the model by actual solution method. The coupled non-linear partial differential equations describing the phenomenon have been decoupled using parameter-expanding method and solved analytically using eigenfunction expansion technique. The results obtained were discussed. The study shows that the Frank-Kamenetskii number, Scaled thermal conductivity of gas and solid phases and Species diffusion coefficient have a significant effects on the slow burning process associated with porous carbonaceous rod. Keywords: Pyrolysis, smouldering, combustion, carbonaceous rod, pyrolysis reactions, analytical solution
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spelling doaj.art-626630f46d1c4c6c9f3dede3f27f53a92024-04-02T19:52:20ZengJoint Coordination Centre of the World Bank assisted National Agricultural Research Programme (NARP)Journal of Applied Sciences and Environmental Management2659-15022659-14992017-11-0121510.4314/jasem.v21i5.21Modeling and analytical simulation of a smouldering carbonaceous rodA.A. MohammedR.O. OlayiwolaM EseyinA.A. Wachin Modeling of pyrolysis and combustion in a smouldering fuel bed requires the solution of flow, heat and mass transfer through porous media. This paper presents an analytical method for describing the smouldering of a porous carbonaceous rod. We assume that no local thermal equilibrium exist between the phases. Also, the initial temperatures are assumed to depend on space variable. We prove the existence and uniqueness of solution of the model by actual solution method. The coupled non-linear partial differential equations describing the phenomenon have been decoupled using parameter-expanding method and solved analytically using eigenfunction expansion technique. The results obtained were discussed. The study shows that the Frank-Kamenetskii number, Scaled thermal conductivity of gas and solid phases and Species diffusion coefficient have a significant effects on the slow burning process associated with porous carbonaceous rod. Keywords: Pyrolysis, smouldering, combustion, carbonaceous rod, pyrolysis reactions, analytical solution https://www.ajol.info/index.php/jasem/article/view/163354Pyrolysissmoulderingcombustioncarbonaceous rodpyrolysis reactionsanalytical solution
spellingShingle A.A. Mohammed
R.O. Olayiwola
M Eseyin
A.A. Wachin
Modeling and analytical simulation of a smouldering carbonaceous rod
Journal of Applied Sciences and Environmental Management
Pyrolysis
smouldering
combustion
carbonaceous rod
pyrolysis reactions
analytical solution
title Modeling and analytical simulation of a smouldering carbonaceous rod
title_full Modeling and analytical simulation of a smouldering carbonaceous rod
title_fullStr Modeling and analytical simulation of a smouldering carbonaceous rod
title_full_unstemmed Modeling and analytical simulation of a smouldering carbonaceous rod
title_short Modeling and analytical simulation of a smouldering carbonaceous rod
title_sort modeling and analytical simulation of a smouldering carbonaceous rod
topic Pyrolysis
smouldering
combustion
carbonaceous rod
pyrolysis reactions
analytical solution
url https://www.ajol.info/index.php/jasem/article/view/163354
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AT roolayiwola modelingandanalyticalsimulationofasmoulderingcarbonaceousrod
AT meseyin modelingandanalyticalsimulationofasmoulderingcarbonaceousrod
AT aawachin modelingandanalyticalsimulationofasmoulderingcarbonaceousrod