Question

(b) A schematic diagram of a simple transport system designed to transport oil over a lon distance. A schematic diagram of the system is illustrated in Figure 3(b). The elevations of free surfaces of tanks 1 and 2 from a common ground level are measured to be 100 m and 145 m respectively. The tanks are connected with 300-m long a circular pipe of diameter 50 cm The supply curve of the pump connected is given in Figure 3(c) Express the system demand head hsytem (in m) as a function of volume flow rate Q (in m'/s). Assume a Darcy friction factor f 0.02 for all pipes, a 90° miter bend with vanes, (0 a sharp-edged pipe entrance and a rounded edge pipe exit. (8 marks) (ii) Determine the volume flow rate when the pump is running steadily. (5 marks) 300-m pipe 50 cm in diameter Pump Figure 3(b) 70 65 60 E55 50 45 40 35 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Volume Flow Rate /m3/s Figure 3(c)

Answer 1

h-45m た002 Initi h = 45m eLimina ing all losses, Q = 0.12 m3/s 0.q2 46 mls 0.02 χ200 χ 4.68 3-39 Tm head loss at inlet, hi= os v2 h: V. 1-116 head loas at exit l-ll6 rr 2. head loss due to bend (LO- 2. 0.3 y 2 2. .. Total head aaingt u^hich ac 60-3

1.78 m/s 2. i= o.sx v2 2. 0 . 04 8τη -- 20 0-048 z 47-22 m 47. 22