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Consider the following conditions for the pipe network shown in the given figure (Notations have the usual meaning with suffixes 1, 2 and 3 referring to respective pipes) - (1) Q1 = Q3 (2) Q2 = Q1 + Q3 (3) hf1 = hf3 (4) hf1 = hf2 = hf3 Which of these conditions must be satisfied by this pipe network?

Consider the following conditions for the pipe network shown in the given figure (Notations have the usual meaning with suffixes 1, 2 and 3 referring to respective pipes) - (1) Q1 = Q3 (2) Q2 = Q1 + Q3 (3) hf1 = hf3 (4) hf1 = hf2 = hf3 Which of these conditions must be satisfied by this pipe network? Correct Answer 2 and 3

Explanation:

The basic difference between pipe in series and pipe in parallel is given below:

Pipes in Series

Pipes in Parallel

Pipes are said to be in series if they are connected end to end (in continuation with each other) so that the fluid flows in a continuous line without any branching.

When two or more pipes are connected the fluid flow splits among the branch pipes and eventually combines at downstream into a single pipe. Such a piping system is referred to as parallel pipes.

The discharge will remain the same.

 

The discharge will be the sum of the discharges in individual pipes.

Total head = Sum of heads of all the pipes connected in series

Heads will remain the same.

The head loss will sum up of head loss in each pipe.

The head loss in each pipe will be the same

Now, for the given problem, pipe 1 and pipe 3 are parallel to each other, so

hf1 = hf3  

Pipe 2 is in series with pipe 1 & pipe 3 collectively, so

Total head loss = hf2 + hf1 or hf2 + hf3 (as hf1 = hf3)

And

Q2 = Q1 + Q3 (due to continuity equation at junction)             

 

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