Water enters a 13-cm-diameter pipe steadily with a uniform velocity of 2 m/s and exits with the turbulent flow velocity distribution given by u = umax(1 − rR)1/7 . If the pressure drop along the pipe is 10 kPa, determine the viscous force exerted in the pipe by the water flow. Take the density of water to be 1000 kg/m3. The average velocity is equal to 0.816 times the max velocity. The viscous force exerted in the pipe by the water flow is 50

Apiping systems consists of 6 m of 6-std type k and 12 m of 4-std type k, both drawn copper tubing. the system conveys ethylene glycol at a rate of 0.013 m3/s. the pressure drop across the system is to be calculated. there are two 90° elbows in the 6-in pipe, a reduction from the 6-in pipe to the 4-in pipe and four 90° elbows in the 4-in pipe. all fittings are soldered (same as flanged) and regular. the inlet and outlet of the system are at the same height.