A pipe of diameter \(2 \mathrm{~cm}\) with an oil flow rate of \(0.02 \mathrm{~kg} / \mathrm{s}\) heated by a wall temperature of \(400 \mathrm{~K}\). The inlet temperature is \(300 \mathrm{~K}\).

Find and plot the radial temperature profile at a distance of \(5 \mathrm{~cm}\) from the entrance.

Find and plot the radial temperature profile at a distance of \(100 \mathrm{~cm}\) from the entrance.

If an outlet temperature of \(380 \mathrm{~K}\) is needed, what is the length of the heat exchanger needed? Use an average Nusselt-number value of 3.66 .

The following values for the physical properties are applicable: \(v=4 \times 10^{-5}, c_{p}=2120\), \(k=0.14\), and \(ho=1000\). All are in SI units.

Transcribed Image Text:

(3.66) a=1.4