{"title":"用射孔法求解板坯微波加热模型","authors":"P. Olanrewaju, R. Ayeni, O. Adebimpe","doi":"10.4314/JONAMP.V11I1.40255","DOIUrl":null,"url":null,"abstract":"We employ shooting technique to explicitly construct the approximate solution of steady state reaction – diffusion equations with source term that arise in modeling microwave heating in an infinite slab with isothermal walls. In particular, we consider the case where the source term decreases spartially and increases with temperature. The important properties of the temperature fields and thermal criticality are discussed. JONAMP Vol. 11 2007: pp. 529-532","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Solving microwave heating model in a slab using shooting technique\",\"authors\":\"P. Olanrewaju, R. Ayeni, O. Adebimpe\",\"doi\":\"10.4314/JONAMP.V11I1.40255\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We employ shooting technique to explicitly construct the approximate solution of steady state reaction – diffusion equations with source term that arise in modeling microwave heating in an infinite slab with isothermal walls. In particular, we consider the case where the source term decreases spartially and increases with temperature. The important properties of the temperature fields and thermal criticality are discussed. JONAMP Vol. 11 2007: pp. 529-532\",\"PeriodicalId\":402697,\"journal\":{\"name\":\"Journal of the Nigerian Association of Mathematical Physics\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Nigerian Association of Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4314/JONAMP.V11I1.40255\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Nigerian Association of Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4314/JONAMP.V11I1.40255","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
利用射射技术明确地构造了具有源项的稳态反应扩散方程的近似解，这些方程是在模拟具有等温壁的无限大板的微波加热过程中出现的。特别地，我们考虑了源项局部减小而随温度升高的情况。讨论了温度场和热临界的重要性质。JONAMP Vol. 11 2007: pp. 529-532
Solving microwave heating model in a slab using shooting technique
We employ shooting technique to explicitly construct the approximate solution of steady state reaction – diffusion equations with source term that arise in modeling microwave heating in an infinite slab with isothermal walls. In particular, we consider the case where the source term decreases spartially and increases with temperature. The important properties of the temperature fields and thermal criticality are discussed. JONAMP Vol. 11 2007: pp. 529-532
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