Steady Flow Energy Equation for a Water Pump

[KingDaniel]

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.

 

[Chestermiller]

Is there a question here?

Chet

 

[KingDaniel]

Yes, my question, as stated already, is

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

 

[Chestermiller]

Yes. It looks like what you did is correct. With regard to the Δh, don't forget to include the Δp/ρ term.

Chet

 

[KingDaniel]

@Chestermiller , okay, but isn't that already included, as h = u + pv ?

 

[Chestermiller]

@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

 

[KingDaniel]

@Chestermiller , okay. Thanks