- #1

lurifax1

- 7

- 0

## Homework Statement

http://imgur.com/DSBFIeO

I want to find the flowrate through this pipe based on the pipe's diameter, height of the pipe and the pressure difference. I tried to use Bernoulli, but since the diameter on either end is the same, the terms cancel out. I guess Bernoulli's equation doesn't apply in this example

## Homework Equations

https://en.wikipedia.org/wiki/Bernoulli's_principle

https://en.wikipedia.org/wiki/Hagen–Poiseuille_equation

## The Attempt at a Solution

[itex] P_1 + \rho g h_1 + \dfrac{1}{2}\rho {v_1}^2 = P_2+ \rho g h_2 + \dfrac{1}{2}\rho {v_2}^2 \\

{v_2}^2-{v_1}^2 = \dfrac{|P1-P2|-\rho g h_2}{0.5\rho}\\[2mm]

[/itex]

I also looked at Poiseuille's equation: [itex] \dfrac{\Delta V}{\Delta t}=\dfrac{\pi r^4 (P_1-P_2)}{8\eta l},\\[2mm][/itex]

but this does not take the height of the pipe into effect.