Back in your office at "Pipeline Chemicals Inc." you think about the problem your boss gave you. What pressure drop corresponds to each flow rate of the fluid?
Looking at the plant layout you realize that there are no changes in elevation or velocity, so that, excluding the pump, the only term contributing to the pressure drop in Bernoulli's equation is the friction of the fluid in the pipe.
How are you going to find out how the pressure drop varies with flow-rate? You decide to make pressure drop measurements in a pilot plant for a shorter length of pipe and then scale the result according to length of the real pipe.
Define the pressure drop as
, so that the pressure drop is a positive number, and
.
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