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In a water flowing pipeline, if the diameter of a pipe is reduced, the pressure in the line will increase. Bernoulli's theorem says that there should be a reduction in pressure when the area is reduced. What is the justification for this?
Well, according to Bernoulli's theorem, if the diameter of a pipe is reduced, the pressure in the line will increase. But isn't there supposed to be a reduction in pressure when the area is reduced? What's the justification for this?
The justification for this is that as the diameter of the pipe decreases, the velocity of the flow must increase in order to maintain the same flow rate. According to Bernoulli's equation, an increase in fluid velocity is accompanied by a decrease in pressure. So although the area may be reduced, the increase in velocity results in an overall increase in pressure.