Steady Flow Energy Equation for a Water Pump

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Discussion Overview

The discussion revolves around the Steady Flow Energy Equation as it applies to a water pump with a specific configuration, including one inlet and one outlet, and the consideration of work input. Participants are exploring the simplification of this equation in the context of a homework problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant seeks clarification on the simplified Steady Flow Energy Equation for a water pump, indicating uncertainty about their solution attempt.
  • Another participant questions whether a clear question is posed in the initial post.
  • The original poster reiterates their question and requests feedback on their simplification of the energy equation.
  • A participant affirms that the simplification appears correct but advises the inclusion of the Δp/ρ term in relation to Δh.
  • The original poster queries whether the Δp/ρ term is already accounted for in the equation, referencing the relationship h = u + pv.
  • The responding participant acknowledges the original poster's point but notes that some may simplify Δh to CΔT, indicating a potential misunderstanding.

Areas of Agreement / Disagreement

There is no clear consensus on the simplification of the equation, as participants express differing views on the inclusion of specific terms and their implications.

Contextual Notes

Participants have not fully resolved the implications of the Δh term and its relationship to other variables in the equation. There is also a lack of clarity regarding the assumptions made in the simplification process.

KingDaniel
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Homework Statement


I'm not too sure about my attempt to this question, but what is the simplified Steady Flow Energy Equation for a water pump that has one inlet at the bottom and one outlet at the top, and a work input?

Homework Equations


Q^ = W^ + m^[(h2 - h1) + 1/2 (c22 - c12) + g(z1 - z2)]

The Attempt at a Solution


I have attached a picture of my attempt to the solution to this thread.
IMG_0474.JPG
 
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Is there a question here?

Chet
 
Yes, my question, as stated already, is

KingDaniel said:
what is the simplified Steady Flow Energy Equation for a water pump that has one inlet at the bottom and one outlet at the top, and a work input?

My attempt to the solution along with the picture of what I'm talking about is attached too...as well as the steady-flow energy equation that I need to be simplified for this particular situation.
Is my simplification correct? If not, please advise further
 
Last edited:
Yes. It looks like what you did is correct. With regard to the Δh, don't forget to include the Δp/ρ term.

Chet
 
@Chestermiller , okay, but isn't that already included, as h = u + pv ?
 
KingDaniel said:
@Chestermiller , okay, but isn't that already included, as h = u + pv ?
Yes. But some people would have just written Δh=CΔT. Since I don't know you, I was unaware of whether you might make that mistake.

Chet
 

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