- #1
Johny Prime
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Homework Statement
Question:
For a fluid flowing within a horizontal tube, if the diameter of the tube narrows, will the fluid's flow rate increase, resulting in increased pressure in the narrowing and explain your reasoning.
Homework Equations
Volume flow rate = volume/time
Volume = Area x Distance
Velocity = Distance/ time
The Attempt at a Solution
Sub in Volume = A x D
So, Flow rate = (Area x distance)/time
simplifies down to Flow rate= Area X Velocity
As the volume flow rate is constant, (A1 xV1 = A2 x V2)
if Area gets smaller (the tube narrowing) then Velocity must increase (water goes faster)
What I do not understand, is how does this affect the pressure? Is it to do with Kinetic energy?
Could someone please explain why it results in higher pressure?
Thanks