Question 1 (40 points) [Heat Exchangers]

Below data was obtained from an experimental activity for a parallel pipe heat exchanger.

Arrangement: counter flow (cold fluid in annular and hot fluid in tube).

Mass flow rate: - Hot fluid: 1.03 kg/s

- Cold fluid: 0.91 kg/s

Temperatures: - Hot fluid inlet: 80.5 +/- 10% C

- Hot fluid outlet: 64.0 +/- 10% C

- Cold fluid inlet: 20.0 +/- 10% C

- Cold fluid outlet: 41.0 +/- 10% C

Assume c_p constant and equal to 4.2 kJ/kg-K.

1. State assumptions (at least 9 unique ones) and include references. (5 points)
2. What is the log mean temperature difference in C? (5 points)
3. What is the heat transfer rate on the cold side in kW? Heat added or lost on cold side? (5 points)
4. What is the heat transfer rate on the hot side in kW? Heat added or lost on hot side? (5 points)
5. What is the effectiveness of the heat exchanger for the given conditions? (10 points)
6. Calculate the propagation of uncertainty in kW for part 3 (heat transfer rate on the cold side). (5 points)
7. Calculate the propagation of uncertainty in kW for part 4 (heat transfer rate on the hot side). (5 points)