Heat transfer model for the pyroelectric anemometer

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Abstract
A resistor-capacitor analog heat transfer model is used to calculate the thermal pyroelectric anemometer (PA) response. This is compared to the data of Frederick et al. [J. Appl. Phys. 57, 4936 (1985)] in the accompanying paper. Steady-state gas flow conditions are assumed, and the calculations apply in the regime where the transit time of the gas over the device is much less than the time period of the heat input from the ac-driven heater. Since the pyroelectric substrate is thin, the analysis is simplified to one dimension and excludes edge effects, heat losses due to the support, and thermal radiation. Further, no temperature difference is assumed at the interface between the gas and substrate, i.e., no temperature jump. The calculated dynamic response is in excellent agreement with measurements. However, the calculated level of response is 240 μV at a gas flow of 10 m/min, much lower than the 570 μV measured by Frederick et al.

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