{"title":"The ignition of gases by local sources","authors":"H.G. Landau","doi":"10.1016/S1062-2888(65)80020-X","DOIUrl":null,"url":null,"abstract":"<div><p>When energy is released by a local source such as an electric spark in a combustible gaseous mixture, it is assumed to heat instantaneously a small volume and also to create active particles, chain carriers, which diffuse through the gas and increase in number by chain-branching processes at a rate proportional to their concentration. The heat-producing reaction proceeds at a rate proportional to concentration of active particles. Taking as a criterion for ignition the requirement that the temperature at the point of ignition shall never decrease, the following condition for ignition is obtained: <span><span><span><math><mrow><mi>A</mi><mo>=</mo><mfrac><mrow><mn>4</mn><mo>(</mo><msub><mi>T</mi><mn>1</mn></msub><mo>−</mo><msub><mi>T</mi><mn>0</mn></msub><mo>)</mo><mi>k</mi></mrow><mrow><mi>Q</mi><msub><mi>n</mi><mn>0</mn></msub><msup><mi>R</mi><mn>2</mn></msup></mrow></mfrac></mrow></math></span></span></span> must be less than or equal to a value depending on <em>α</em>, the relation being given in Fig. 1.</p><p>The significance and applicability of this result are discussed.</p></div>","PeriodicalId":101045,"journal":{"name":"Proceedings of the Symposium on Combustion","volume":"1 ","pages":"Pages 127-133"},"PeriodicalIF":0.0000,"publicationDate":"1948-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1062-2888(65)80020-X","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Symposium on Combustion","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S106228886580020X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
When energy is released by a local source such as an electric spark in a combustible gaseous mixture, it is assumed to heat instantaneously a small volume and also to create active particles, chain carriers, which diffuse through the gas and increase in number by chain-branching processes at a rate proportional to their concentration. The heat-producing reaction proceeds at a rate proportional to concentration of active particles. Taking as a criterion for ignition the requirement that the temperature at the point of ignition shall never decrease, the following condition for ignition is obtained: must be less than or equal to a value depending on α, the relation being given in Fig. 1.
The significance and applicability of this result are discussed.