What Diameter is Needed for the Tube in this Thermodynamics Problem?

AI Thread Summary
The discussion centers on calculating the diameter of a tube for oil flowing at a specific velocity and energy rate. The user is trying to determine whether to use absolute or gauge pressure in their calculations, as it affects the resulting diameter. They note that using either pressure type yields a diameter difference of about 20mm, which is not significant for their purposes. The key equation involves the mechanical energy rate, density, velocity, and pressure terms. Ultimately, the distinction between gauge and absolute pressure does not substantially impact the final diameter calculation.
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Homework Statement


Oil with a density of 850 kg/m^3 is flowing at a velocity of 20 m/s at the atmospheric pressure in a horizontal tube elevated at 20m above the sea level. Please determine the diameter of the tube if the rate of mechanical energy for oil is 60000 J/s


Homework Equations





The Attempt at a Solution


dE/dt = \frac{ρv∏D<sup>2</sup>}{4} * (\frac{P}{ρ} + \frac{20<sup>2</sup>}{2} + 9.81 * 20) = 60,000

Now, my question is, P/ρ. I was told that it is at atmospheric pressure, but the pressure I use for that equation, is it absolute or gage?


EDIT: It's not coming out properly, I just need to know if the P in P/ρ is gage or absolute or should it matter? I did it both ways and got a diameter difference of about 20mm
 
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it won't make any difference on gage or absolute
 
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