Consider a pipeline for which some sections of the pipeline are higher than othe

Question

Consider a pipeline for which some sections of the pipeline are higher than other sections. Is it
possible for the pressure in the fluid in the pipeline to be the same everywhere in the pipeline?
(You may assume that the pipeline is transporting an ideal incompressible fluid.)
a. No, the pressure cannot be the same everywhere in the pipeline.
b. Yes, the pressure can be the same everywhere in the pipeline provided that the radius of
the pipe is smaller in the higher sections than in the lower sections.
c. Yes, the pressure can be the same everywhere in the pipeline provided that the radius of the
pipe is larger in the higher sections than in the lower sections.

Explanation / Answer

b) Since P+pgh+1/2pv^2=K Bernoullis theorem

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