Abstract
Abstract: This paper expands the recently proposed Calibration Integral Equation Method (CIEM) for resolving inverse heat conduction problems to include an alternative instrumentation scheme based on ultrasonic interferometry. Conventional approaches to inverse heat conduction problems use local temperature data obtained from in-depth thermocouples. In contrast, the mathematical framework developed in this paper is based on an pulse-echo transducer arrangement for estimating the active-side surface heat flux and temperature. The resulting formulation leads to a first kind Volterra integral equation involving only calibration data and the unknown surface condition (either net surface heat flux or temperature). This approach eliminates the need to specify any thermophysical properties associated with the sample and hence reduces systematic errors. The linearized formulation can make use of the identical computational procedures as previously developed in the context of in-depth thermocouples.
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