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Flow Through Pipes In Parallel

Pipes are said to be in parallel when they are so connected that the flow from a pipe branches or divides into two or more separate pipes and then reunite into a single pipe.

Suppose a main pipe branched at section 1-1 into two pipes of lengths l1 and l2 and diameters d1 and d2 and unite again at a section 2-2 to form a single pipe.
Then the two branch pipes are said to be connected in parallel.

In this arrangement the total discharge Q divides into components Q1 and Q2 along the branch pipes such that –

Q = Q1 + Q2

In this arrangement the loss of head from section 1-1 to section 2-2 is equal to the loss of head in any one of the branch pipes.

hf = hf1 = hf2



Hence the total discharge Q divides into components Q1 and Q2 satisfying the above equation.

Similarly when a number of pipes be connected in parallel, then also, the total loss of head in the system is equal to the loss of head in any one of the pipes.



Credit:- http://www.engineeringenotes.com/fluids/pipes/flow-through-pipes-in-series-and-parallel-difference-diameters-equations-and-solved-problems/47568

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