Conceptual question about currents and pumps

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SUMMARY

The discussion centers on the application of the energy density equation in analyzing currents and pumps, specifically in the context of fluid dynamics. The equation discussed is (P2-P1) + pg(y2-y1) + 1/2p(v2^2 - v1^2) = Epump/vol - IR. Participants debated whether the current remains constant and whether velocities differ, ultimately concluding that pressures are likely the same when measuring at the same height. The importance of understanding the relationship between pressure and potential energy (PE) in this context is emphasized.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the energy density equation
  • Knowledge of current and velocity relationships in fluid flow
  • Basic concepts of pressure measurement in fluids
NEXT STEPS
  • Study the derivation and applications of the energy density equation in fluid mechanics
  • Learn about the principles of Bernoulli's equation and its implications for fluid flow
  • Research the relationship between pressure, velocity, and height in fluid systems
  • Explore the effects of pump energy on fluid dynamics in various applications
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Students studying fluid dynamics, engineers working with pump systems, and anyone interested in the principles of pressure and current in fluid mechanics.

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Homework Statement



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Homework Equations



I suppose the energy density equation applies here:

(P2-P1) + pg(y2-y1) + 1/2p(v2^2 - v1^2) = Epump/vol - IR

and

I = Av

The Attempt at a Solution



My initial thought was that the current is the same. But then, since current is Av, I was second guessing myself that maybe the velocities are different. Any help's appreciated!
 
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Also, I'd appreciate it if you guys can help me on these

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My guess was that the sewer gas is less than 1 ATM.

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My guess is that the pressures are the same. Using the same energy density equation on the first post, I could eliminate the KE, Epump, and IR. That leaves the pressure and the PE. Since it's measuring the same height, the pressure's the same. Is this correct?
 

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