Water ( with density 999.7 kg/m3 and viscosity 1.307 103 kg/(ms)) at an average velocity of 3.2 m/s flows in a steel pipe (length 20 m, inner diameter 0.025 m, surfacae roughness 0.045 mm) connecting two tanks, as shown in figure.

Calculate

(a) the viscous dissipation of the flow

(b) the height difference between pipe inlet and outlet required to produce the given velocity.

20 m 3.2 m/s i.d. 0.025 m Figure 1