Question

Water at 20° flows in pipeline system shown below (Fig. 1) at rate of 32400 Vhr. Pipe 1 is 15m long and 0.044 m outer diameter and pipe 2 is 100m long and 0.034m outer diameter. The thickness of both pipes is 2mm. Pipe 1 is a ductile iron uncoated pipe and pipe 2 is ductile iron coated pipe. There are totally 4 elbows in the system (two elbows in each pipe) and the elbows are 90° street elbows. All pipes are located on the same elevation. Consider major loss and minor loss for both pipes. 1. Calculate the flow rate and head loss in each pipe (10 marks) 2. Calculate the pressure drop between point A and point Blocated on either sides of the main pipeline (5 marks). Note: Attach your calculation on moody diagram to the solution. This forms part of total mark. Branch 1 Main Pipe B Main Pipe Branch 2 Fig. 1

Answer 1

Griven :- 1 9o* elbows > 2 Q2 L=25m di= 0.04m 3 L2= 3om dzz0.03m Q= = 32400 l/hr 32.4 m/s Q 1-354/s 2 24 Neglecting Major losses the Minor loves due to the ao bends in > the pipe are & Minor head loss in abend Kvz zg [Ka bend factor Assune 2015 Since, both pipes are paralled, los will .0.5v12 +0.5812 0.5 0.5722 to 522 2g M22 paralld, so head be equal

Qı x4 (1.35-21) Qu) x4 7 %0.0374 Tx6.04)2 Quto2 51.35m/3 Qı = 0.864 mits In Pipe 1 → Q2 = 0.486m/ In Pipe 2 >> (2.) Pressure drop bin A&B :- Chead loss bln A & B) 0.5v2 +0.5412 suited Posting hli ahir V2 e Q12 Ar g (0.864² x 16 x 1 Xx(0.04)" 249.81 24094 AP gg OP = 24094x108x9.8| AP 2 236362 tha

1)

Q₁=0.864 m³/s

Q₂=0.486 m³/s

2)

∆P = 236362 Kpa.

Thank you.