When pipes of different diameters are connected in series from end to end to form a pipe line, the total head loss developed is equal to _______

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SSC JE Civil 06 Jun 2024 Shift 3 Official Paper - 1
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  1. Sum of local head losses and major head losses in each pipe
  2. sum of major head losses in each pipe
  3. Zero
  4. Sum of local head losses only 

Answer (Detailed Solution Below)

Option 1 : Sum of local head losses and major head losses in each pipe
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Detailed Solution

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Explanation:

Pipes can be connected in two ways. They are-

  • Flow through Parallel Pipes.
  • Flow through Series Pipes.

Series Pipes:

Pipes in series or compound pipes are defined as the pipes of different lengths, and different diameters connected end to end (in series) to form a pipeline.

Head loss in Series Pipe:

Total head loss is the summation of individual head losses in each pipe.

hf = hf1 + hf2

Discharge in Series Pipe:

The rate of flow is the same in each pipe.

∴ Q = Q1 = Q2

Parallel Pipes:

The main pipeline divides into two or more parallel pipes which again join together downstream.

Head loss in Parallel Pipe:

It is same in both pipe and given by-

hf = hf1 = hf2

Discharge in Parallel Pipe:

The rate of flow in the main pipe is the sum rate of flow in branched pipes.

∴ Q = Q1 + Q2  

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