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