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In a planned experiment, a thermocouple is to be exposed to a step change in temperature. The response characteristics of the thermocouple must be such that the thermocouple's output reaches 98% of the final temperature within 5 s. Assume that the thermocouple's bead (its sensing element) is spherical with a density equal to 8000 kg/m3, a specific heat at constant volume equal to 380 J/(kg.K), and a convective heat transfer coefficient equal to 210 W/(m2.K). Determine the maximum diameter [] that the thermocouple can have and still meet the desired response characteristics. The unit is millimeter.

Sagot :

batolisis

Answer:

max Diameter = 0.530 mm

Explanation:

Calculate the maximum Diameter that the thermocouple should have

applying this formula : e = [tex]\frac{SvCv}{hA}[/tex]  ------ ( 1 )

mass = density * volume

Time constant = mc / hA

attached below is the detailed solution

r ( diameter ) = 0.530 mm

View image batolisis
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