{"title":"Influence of power-law index on an unsteady exothermic reaction","authors":"O. Lamidi, R. Ayeni","doi":"10.4314/JONAMP.V11I1.40257","DOIUrl":null,"url":null,"abstract":"This study presents the solution of an unsteady Arrhenius exothermic reaction where we reduced the exponential term to a power-law approximation. A numerical solution of the problem is obtained using shooting technique with second order Runge-Kuta scheme. It is shown that the temperature of the reactant depends on the power-law index. The temperature of the reactant increases as the power-law index increases. JONAMP Vol. 11 2007: pp. 545-548","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40257","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This study presents the solution of an unsteady Arrhenius exothermic reaction where we reduced the exponential term to a power-law approximation. A numerical solution of the problem is obtained using shooting technique with second order Runge-Kuta scheme. It is shown that the temperature of the reactant depends on the power-law index. The temperature of the reactant increases as the power-law index increases. JONAMP Vol. 11 2007: pp. 545-548