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a) (12%) What is the total amount of heat transferred? At a flow rate of 0.1 kg/s for cold water, what is
the water temperature when it exits the inner pipe? Confirm it is close to (within 5 C difference from) the
inlet temperature, 20 C.
b) (only 2%) What sketch below represents the temperature change along x-direction in the diagram?
c) (12%) Construct the thermal circuit, label the temperatures and resistors.
d) (18%) What is the Nusselt number and convection coefficient of water in inner pipe?
e) (26%) What is the Nusselt number and convection coefficient of oil in the annulus pipe? What is the
inner pipe temperature? (Is/are the assumption(s) you took earlier consistent with your calculation?)
f) (14%) How long does the pipe need to be in order to cool the oil from 120 to 50 C?
g) (12%) Now, the jacketed pipe is not insulated outside, and instead, it is exposed in quiescent air at a
?”#$,& = 20 ?. Construct the thermal circuit, label the temperatures and resistors.
h) (bonus 10%) Continue from g) What is the free convection coefficient h”#$, if the surface temperature
of the outer pipe is at 53 C? (Use Table 9.2.) (another bonus 10%) do you think this free convection due
to the exposure to the air will increase or decrease the heat transfer of oil? By how much %.