Chapter 8, Problem 8.40P

Consider the encased pipe of Problem 4.29, but now allow tor the difference between the mean temperature of the fluid, which changes along the pipe length, and that of the pipe.

(a) For the prescribed values of k, D, w, h, and $T_{\infty }$ and a pipe of length $\text{L }=\text{ 1}00\text{ m}$ . what is the outlet temperature $T_{m,o}$ of water that enters the pipe at a temperature of $T_{m,i}=90$ °C and a how rate of $\text{m }=\text{ 2 kg}/\text{s}$ ?

(b) What is the pressure drop of the water and the corresponding pump power requirement?

(c) Subject to the constraint that the width of the duct is fixed at $\text{w }=0.\text{3}0\text{ m}$ , explore the effects of the flow rate and the pipe diameter on the outlet temperature.