在一个边界上具有过指定数据的瞬态一维反热传导问题

Letters in Heat and Mass Transfer Pub Date : 1982-09-01 DOI:10.1016/0094-4548(82)90001-7

L.C. Chow, K.C. Woo, D.M. Green

{"title":"在一个边界上具有过指定数据的瞬态一维反热传导问题","authors":"L.C. Chow, K.C. Woo, D.M. Green","doi":"10.1016/0094-4548(82)90001-7","DOIUrl":null,"url":null,"abstract":"<div><p>For one-dimensional transient heat conduction, a procedure is developed to estimate the temperature at one boundary when both the temperature and heat flux are measured at the other boundary. The Laplace transform technique is employed and the inverse Laplace transform is carried out by using a novel technique. Exact and noisy data are used to infer the unknown boundary temperature. It is shown that the present procedure is accurate and also stable to measurement errors.</p></div>","PeriodicalId":100875,"journal":{"name":"Letters in Heat and Mass Transfer","volume":"9 5","pages":"Pages 325-332"},"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)90001-7","citationCount":"0","resultStr":"{\"title\":\"A transient one-dimensional inverse heat conduction problem with overspecified data at one boundary\",\"authors\":\"L.C. Chow, K.C. Woo, D.M. Green\",\"doi\":\"10.1016/0094-4548(82)90001-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>For one-dimensional transient heat conduction, a procedure is developed to estimate the temperature at one boundary when both the temperature and heat flux are measured at the other boundary. The Laplace transform technique is employed and the inverse Laplace transform is carried out by using a novel technique. Exact and noisy data are used to infer the unknown boundary temperature. It is shown that the present procedure is accurate and also stable to measurement errors.</p></div>\",\"PeriodicalId\":100875,\"journal\":{\"name\":\"Letters in Heat and Mass Transfer\",\"volume\":\"9 5\",\"pages\":\"Pages 325-332\"},\"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)90001-7\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Heat and Mass Transfer\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0094454882900017\",\"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/0094454882900017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

对于一维瞬态热传导，本文提出了在测量另一边界的温度和热流密度时，估算一边界温度的方法。采用拉普拉斯变换技术，采用一种新颖的技术进行拉普拉斯逆变换。用精确的和有噪声的数据来推断未知的边界温度。结果表明，该方法测量精度高，对测量误差稳定。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A transient one-dimensional inverse heat conduction problem with overspecified data at one boundary

For one-dimensional transient heat conduction, a procedure is developed to estimate the temperature at one boundary when both the temperature and heat flux are measured at the other boundary. The Laplace transform technique is employed and the inverse Laplace transform is carried out by using a novel technique. Exact and noisy data are used to infer the unknown boundary temperature. It is shown that the present procedure is accurate and also stable to measurement errors.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Letters in Heat and Mass Transfer

自引率

0.00%

发文量