Abstract
AbstractAn analysis is proposed to estimate the measurement error when determining the temperature of a surface with an attached thermocouple. The sensing element is assumed to be a point in a domain that is a circular segment of an infinitely long cylinder. The temperature distribution in the segment which models the medium used to attach the thermocouple is found approximately by using an embedding technique and the method of weighted residuals. The construction of bounds on the unknown exact solution is outlined and results are presented for Biot numbers up to 10.
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