Lets find out what happens to pressure in a pipe when the height changes. In this example we have a pipe that has water going through it at a pressure of 1,000 KPA at a velocity of 3 m/s at the starting point. The velocity and diameter remain constant through the pipe but the pipe increases in height by 10 meters. We need to find the pressure at the point with increased height.(point 2)
We will once again use the Bernoulli’s equation. This is the equation that shows how much energy is in the water moving through the pipe.
Being that energy is conserved (energy point 1 equals energy point 2) we can take the benouilli equation at the starting point and set it equal to the bernoullis equation at the second point. The velocity remains the same so the kinetic energy can be eliminated from this equation .
We can then rearrange the equation and we realize that we are really taking the originaly pressure plus the density times gravity times the height difference.
Once we plug in our numbers being careful to remain in the proper units. (pressure units should be pascals or newtons per meter squared, density units should be kilograms a meter cubed, gravity should be in meters per second per second and the height difference in meters) If the height increased like this case the height delta or height 1 minus height 2 should be negative. If you were to have a height decrease it would be positive.
After pluggin in all of our numbers we get that the pressure at point 2 decreases to 901,900 n/m2
We can see that the pressure dropped due to the height increase.
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Disclaimer
These videos are intended for educational purposes only (students trying to pass a class) If you design or build something based off of these videos you do so at your own risk. I am not a professional engineer and this should not be considered engineering advice. Consult an engineer if you feel you may put someone at risk.
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