The shell-and-tube heat exchanger shown in Figure 3 carries 0.007 m/s of fluid of density 988 kg/m3 and viscosity 0.000541 Pa-s. The shell is a 2-inch Type K copper tube with an internal diameter of 49.76 mm, while the tubes are 3/8-inch Type K copper tubes with an outer diameter of 12.70 mm. Three circular tubes are in the shell as shown. a) Find the flow area and the wetted perimeter and hence find the hydraulic radius of the non-circular section inside the shell but outside the tubes. [8 marks] b) Find the velocity of water. [2 marks] c) Calculate Reynolds number, relative roughness and the friction factor of the fluid. {The duct and pipe material has roughness of 1.5x10" m) [5 marks] d) Find the friction loss over 6.0 m length of shell. [1 mark] e) Find the pressure drop of the water in the shell in (d). [4 marks] Figure 3