Introduction A DIRECT measurement of transient surface temperature and heat flux is often difficult. For example, a surface involves two modes of heat transfer, say radiative and convective heat transfer. In this case, if the measuring probe has a different radiative property from that of the surface, erroneous measurements will result. Therefore, indirect estimation by inverting the temperature history inside the heat conducting solid as measured by a thermocouple is often used for prediction of the surface temperature and heat flux. Beck, Herring and Parker, Frank, Imber and Khan, Stolz, and Chen and Thomsen have developed inversion solutions for this purpose. Since all of these solutions assumed that the cavity drilled into the solid does not distort the true temperature distribution, it is, therefore, important that the temperature measurement by an interior probe be accurate and involve little distortion or error. From studies made by Chen and Li and Beck, it was found that with a proper combination of the thermocouple cavity diameter, cavity depth, and the thermocouple material, the magnitude of the distortion of the temperature field with respect to space or time can be minimized. In this Note we study the optimum combination of geometrical parameters and material properties to eliminate the temperature distortion.
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