Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane Combustion

An analysis of a three-step combustion process, analogous to the three-step methane combustion, in a reactive stockpile modeled in a rectangular domain, is considered, assuming an exothermic chemical reaction process. Heat loss to the environment is assumed to take place by convective and radiative...

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Main Authors: Ramoshweu Solomon Lebelo, Tranos Zuva
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/ijmm/7611717
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author Ramoshweu Solomon Lebelo
Tranos Zuva
author_facet Ramoshweu Solomon Lebelo
Tranos Zuva
author_sort Ramoshweu Solomon Lebelo
collection DOAJ
description An analysis of a three-step combustion process, analogous to the three-step methane combustion, in a reactive stockpile modeled in a rectangular domain, is considered, assuming an exothermic chemical reaction process. Heat loss to the environment is assumed to take place by convective and radiative means in a steady-state combustion process. The nonlinear energy equation governing the problem is solved numerically by the coupled Runge–Kutta–Fehlberg with the Shooting technique method. Heat transfer analysis during methane combustion is investigated by manipulating parameters embedded within the governing equation and studying their influence on the temperature profiles during the process. The manipulation of parameters is done by varying their magnitudes to observe how the temperature profiles are affected. The results indicate that parameters such as radiation and activation energy, for example, slow down the exothermic chemical reaction to reduce heat release to the surrounding environment. In contrast, the kinetic type and reaction rate parameters enhance the combustion process by accelerating the exothermic chemical reaction to release more heat to the surrounding environment.
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institution Kabale University
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publishDate 2025-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8d2c0eeb2e454e02a4a45a376dff5c112025-08-20T03:43:31ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252025-01-01202510.1155/ijmm/7611717Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane CombustionRamoshweu Solomon Lebelo0Tranos Zuva1Department of Applied Physical SciencesDepartment of Computer SciencesAn analysis of a three-step combustion process, analogous to the three-step methane combustion, in a reactive stockpile modeled in a rectangular domain, is considered, assuming an exothermic chemical reaction process. Heat loss to the environment is assumed to take place by convective and radiative means in a steady-state combustion process. The nonlinear energy equation governing the problem is solved numerically by the coupled Runge–Kutta–Fehlberg with the Shooting technique method. Heat transfer analysis during methane combustion is investigated by manipulating parameters embedded within the governing equation and studying their influence on the temperature profiles during the process. The manipulation of parameters is done by varying their magnitudes to observe how the temperature profiles are affected. The results indicate that parameters such as radiation and activation energy, for example, slow down the exothermic chemical reaction to reduce heat release to the surrounding environment. In contrast, the kinetic type and reaction rate parameters enhance the combustion process by accelerating the exothermic chemical reaction to release more heat to the surrounding environment.http://dx.doi.org/10.1155/ijmm/7611717
spellingShingle Ramoshweu Solomon Lebelo
Tranos Zuva
Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane Combustion
International Journal of Mathematics and Mathematical Sciences
title Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane Combustion
title_full Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane Combustion
title_fullStr Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane Combustion
title_full_unstemmed Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane Combustion
title_short Convective and Radiative Heat Transfer Analysis in a Three-Step Exothermic Chemical Reaction: Case Study—Methane Combustion
title_sort convective and radiative heat transfer analysis in a three step exothermic chemical reaction case study methane combustion
url http://dx.doi.org/10.1155/ijmm/7611717
work_keys_str_mv AT ramoshweusolomonlebelo convectiveandradiativeheattransferanalysisinathreestepexothermicchemicalreactioncasestudymethanecombustion
AT tranoszuva convectiveandradiativeheattransferanalysisinathreestepexothermicchemicalreactioncasestudymethanecombustion