{"title":"大生物数相变问题解析近似的局限性","authors":"A.D. Solomon","doi":"10.1016/0094-4548(81)90055-2","DOIUrl":null,"url":null,"abstract":"<div><p>While analytical approximation methods are attractive and widely used for phase change problems they may give physically fallacious results for larger Stefan and Biot numbers. In the following we show this for a simple one-phase melting process in a finite slab, obtaining estimates of how large these parameters may be.</p></div>","PeriodicalId":100875,"journal":{"name":"Letters in Heat and Mass Transfer","volume":"8 6","pages":"Pages 475-482"},"PeriodicalIF":0.0000,"publicationDate":"1981-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0094-4548(81)90055-2","citationCount":"2","resultStr":"{\"title\":\"On the limitations of analytical approximations for phase change problems with large biot numbers\",\"authors\":\"A.D. Solomon\",\"doi\":\"10.1016/0094-4548(81)90055-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>While analytical approximation methods are attractive and widely used for phase change problems they may give physically fallacious results for larger Stefan and Biot numbers. In the following we show this for a simple one-phase melting process in a finite slab, obtaining estimates of how large these parameters may be.</p></div>\",\"PeriodicalId\":100875,\"journal\":{\"name\":\"Letters in Heat and Mass Transfer\",\"volume\":\"8 6\",\"pages\":\"Pages 475-482\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1981-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0094-4548(81)90055-2\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Heat and Mass Transfer\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0094454881900552\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Heat and Mass Transfer","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0094454881900552","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the limitations of analytical approximations for phase change problems with large biot numbers
While analytical approximation methods are attractive and widely used for phase change problems they may give physically fallacious results for larger Stefan and Biot numbers. In the following we show this for a simple one-phase melting process in a finite slab, obtaining estimates of how large these parameters may be.