Question
Download Solution PDFWhen 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 _______
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
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
\(∴ {h_f} = \frac{{4{f_1}V_1^2}}{{2g{d_1}}} + \frac{{4{f_2}V_2^2}}{{2g{d_2}}}\)
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
\(∴ {h_f} = \frac{{4{f_1}V_1^2}}{{2g{d_1}}} = \frac{{4{f_2}V_2^2}}{{2g{d_2}}}\)
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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