For a Newtonian fluid flowing under turbulent flow conditions, show mathematically (without using numerical values) the effect of increasing the flow rate by 2 times on the pressure difference and the effect of increasing the pipe diameter by 25% on the pressure difference. Show mathematically (without using numerical values) the effect of increasing the pipe diameter on the flow, the effect of increasing the pipe length on the pressure difference, and the effect of increasing the pipe length on the flow provided that everything else remains constant. Show mathematically (without numerical values) how the pressure difference will be affected if you use two parallel pipelines with a length equal to half the length of the first pipe and equal diameter to the first pipe instead of one long pipeline.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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For a Newtonian fluid flowing under turbulent flow conditions, show mathematically (without using numerical values) the effect of increasing the flow rate by 2 times on the pressure difference and the effect of increasing the pipe diameter by 25% on the pressure difference. Show mathematically (without using numerical values) the effect of increasing the pipe diameter on the flow, the effect of increasing the pipe length on the pressure difference, and the effect of increasing the pipe length on the flow provided that everything else remains constant. Show mathematically (without numerical values) how the pressure difference will be affected if you use two parallel pipelines with a length equal to half the length of the first pipe and equal diameter to the first pipe instead of one long pipeline.

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