What is the relationship between gas velocity in a pipe and its pressure?



Answer:
Bernouli's equation:

Pressure1/density + velocity1^2/2g +elevation1 = Pressure2/density + velocity2^2/2g + elevation2 +friction losses + minor losses

points 1 and 2 are any two points within the pipeline.
None, strictly speaking. There has to be a pressure gradient in the pipe to cause the gas to flow. You can have pressurised gas in a container and there is no flow. Pressurise one end of a pipe and allow the other end to be open and then the pressure gradient along the pipe will cause a gas flow.
Velocity of gas inside the pipe will cause a drop of pressure.
"Bernoulli's Principle"
Actually, there has to be a pressure drop across the tube for flow to exist in the tube.

n i agree with my friend above that a/c to bernoulii's principle,... ... n so on..

But there is a criterion for velocity in the pipe..

(If the area of the pipe is constant/not constant)

If the flow is sub-sonic, continuity equation/bernoulii's equation is valid. and the velocity is inversely proportional to the Area.

But the flow is supersonic,
The velocity is directly proportional to the Area.

and pressure depends on the area of contact also..

All these r highly interlinked.
This is the principle of a converging diverging nozzle.
Refer to fluid Mechanics books for more details.

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