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(Solved): URGENT Help! Please explain the steps! A thermocouple is often used to measure fluid flow temperatur ...
URGENT Help! Please explain the steps! A thermocouple is often used to measure fluid flow temperature. Consider a thermocouple junction that is a metal sphere of 4 -mm-diameter. The thermocouple junction metal properties are
\rho =3000k(g)/(m^(3)),c_(p)=1000
(J)/(k)g-K,k=20(W)/(m)-K, and
\alpha =6.66\times 10^(-6)(m^(2))/(s). Initially, the thermocouple junction has the uniform temperature of
25\deg Cbefore it is inserted to fluid flows. (a) Now, the thermocouple is inserted to an engine exhaust pipe. The exhaust gas has the temperature of
700\deg Cand the heat transfer coefficient of
10(W)/(m^(2))-K. How long would it take for the center of the thermocouple junction to reach
598\deg C? (b) Now, the thermocouple (at
25\deg C) is inserted to a water pipe. Water flow temperature is
80\deg Cand has heat transfer coefficient of
6000(W)/(m^(2))-K. Determine the center temperature of the junction after
0.5s.
