Why do particles move faster through small pipes and slower through big pipes?
Understand the Problem
The question is asking why the velocity of particles differs based on the size of the pipe they are travelling through. This involves understanding concepts related to fluid dynamics, pressure, friction, and flow rates. It likely refers to situations where the same amount of fluid is forced through pipes of different sizes.
Answer
Smaller pipes increase velocity, while larger pipes decrease it, given the same flow rate.
The velocity of fluid in a pipe depends on the flow rate and the pipe's area. For a given flow rate, a smaller pipe will have a higher velocity, while a larger pipe will have a lower velocity.
Answer for screen readers
The velocity of fluid in a pipe depends on the flow rate and the pipe's area. For a given flow rate, a smaller pipe will have a higher velocity, while a larger pipe will have a lower velocity.
More Information
This is related to the principle of continuity, which states that for incompressible fluids, the mass flow rate must remain constant. Therefore, if the area decreases, the velocity must increase to maintain the same flow rate.
Tips
A common mistake is forgetting that this relationship assumes a constant flow rate. If the flow rate changes, the velocity can also change independently of the pipe size.
Sources
- Flow and Pressure in Pipes Explained - practical.engineering
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