{"title":"通过非均匀介质的周期性热传递","authors":"A.K.S. Thakur","doi":"10.1016/0094-4548(82)90008-X","DOIUrl":null,"url":null,"abstract":"<div><p>One dimensional heat conduction equation has been analysed for periodic heat transfer in an inhomogeneous bounded medium. Exact analytical solutions for some typical thermal conductivity profiles have been obtained. Also an approximate solution has been attempted for the first time for heat conduction problems which is applicable for any arbitrary variation of thermal conductivity, Numerical appreciation for a parabolic thermal conductivity profile shows that results from approximate approach are in excellant agreement with those obtained by the exact analytical approach.</p></div>","PeriodicalId":100875,"journal":{"name":"Letters in Heat and Mass Transfer","volume":"9 5","pages":"Pages 385-394"},"PeriodicalIF":0.0000,"publicationDate":"1982-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0094-4548(82)90008-X","citationCount":"17","resultStr":"{\"title\":\"Periodic heat transfer through an inhomogeneous medium\",\"authors\":\"A.K.S. Thakur\",\"doi\":\"10.1016/0094-4548(82)90008-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>One dimensional heat conduction equation has been analysed for periodic heat transfer in an inhomogeneous bounded medium. Exact analytical solutions for some typical thermal conductivity profiles have been obtained. Also an approximate solution has been attempted for the first time for heat conduction problems which is applicable for any arbitrary variation of thermal conductivity, Numerical appreciation for a parabolic thermal conductivity profile shows that results from approximate approach are in excellant agreement with those obtained by the exact analytical approach.</p></div>\",\"PeriodicalId\":100875,\"journal\":{\"name\":\"Letters in Heat and Mass Transfer\",\"volume\":\"9 5\",\"pages\":\"Pages 385-394\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1982-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0094-4548(82)90008-X\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Heat and Mass Transfer\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/009445488290008X\",\"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/009445488290008X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Periodic heat transfer through an inhomogeneous medium
One dimensional heat conduction equation has been analysed for periodic heat transfer in an inhomogeneous bounded medium. Exact analytical solutions for some typical thermal conductivity profiles have been obtained. Also an approximate solution has been attempted for the first time for heat conduction problems which is applicable for any arbitrary variation of thermal conductivity, Numerical appreciation for a parabolic thermal conductivity profile shows that results from approximate approach are in excellant agreement with those obtained by the exact analytical approach.
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