The engineers at this company have specified design constraints for an ideal thermocouple: it must detect temperature changes no later than 1.5 minute, and the reported temperature value must be reasonably correct: at most %3 difference between measured and actual temperature values is allowed.The experiment involves placing the thermocouple from air at 20 °C to air at 150 °C, and monitoring the time it takes for the measured values to reach 150 °C, which is the temperature value the thermocouple should read in this case. If the convection heat transfer coefficient of the air is 10 W/m2*K, which thermocouple meets the design criteria the best? Please perform necessary calculations.
The engineers at this company have specified design constraints for an ideal
thermocouple: it must detect temperature changes no later than 1.5 minute, and the reported temperature value must be reasonably correct: at most %3 difference between measured and actual temperature values is allowed.The experiment involves placing the thermocouple from air at 20 °C to air at 150 °C, and monitoring the time it takes for the measured values to reach 150 °C, which is the temperature value the thermocouple
should read in this case. If the convection heat transfer coefficient of the air is 10 W/m2*K, which thermocouple meets the design criteria the best? Please perform necessary calculations.
Device Thermal conductivity Density Specific Heat Bead Diameter
Thermocouple 1 36 W/m*K 12000 kg/m3 140 kJ/kg*K 0.9 mm
Thermocouple 2 36 W/m*K 10000 kg/m3 120 kJ/kg*K 0.9 mm
Thermocouple 3 42 W/m*K 12000 kg/m3 150 kJ/kg*K 1.2 mm
Thermocouple 4 33 W/m*K 9000 kg/m3 160 kJ/kg*K 0.7 mm
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