Parameter Estimation for a Thin Layer by Measuring Temperature Induced by a Heat Source

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Authors
Wang, Hongyun
Zhou, Hong
Subjects
Parameter estimation
heat equation
temperature profile
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Date of Issue
2013
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Abstract
We study the temperature profile for a semi-infinite thin layer due to a Gaussian heat source. We follow the time-dependent temperature profile at the center of the top surface of the layer, deriving the asymptotic behavior and both the short time and long time behaviors. We also show that one can estimate thermal properites from various time measurements of the temperature at the center of the top surface. Finally, we investigate the statistical uncertainty in estimating parameter values from temperature measurements.
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Article
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https://hdl.handle.net/10945/40840
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Applied Mathematics
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Available online at http://scik.org J. Math. Comput. Sci. 3 (2013), No. 6, pp. 1353-1372, ISSN: 1927-5307
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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