(adsbygoogle = window.adsbygoogle || []).push({}); Force exerted on U-shaped pipe by steady air-flow... help please!! :)

Hello! I have attempted this problem, and my result makes sense in my twisted mind. However, it seems like it came too easy!

1. The problem statement, all variables and given/known data

Consider a length of pipe bent into a U-shape. The inside diameter of the pipe is 0.2m. Air enters one leg of the pipe at a mean velocity of 10 m/s and exits the other leg at the same magnitude of velocity, but moving in the opposite direction. The pressure of the flow at the inlet and exit is the ambient pressure of the surroundings. Calculate the magnitude and direction of the force exerted on the pipe by the airflow. The air density is 1.23 kg/m^3.

2. Relevant equations

I attempted this problem using the steady-flow momentum equation, [itex]\sum\vec{F}[/itex] = [itex]\int\rho\vec{v}(\vec{v}\cdot\vec{n})dA[/itex]

3. The attempt at a solution

My attempt at the solution can be viewed here:

http://i.imgur.com/SHItH.jpg

Pleeeeease help!!! Thanks!! :D

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# Force exerted on U-shaped pipe by steady air-flow help please

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