How can I derive the equation for calculating pump horsepower?

  • Thread starter mhzq007
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    Derivation
In summary, The equation Hp= Q(gpm)* Δp(psi)/1714 can be derived by first converting 1 HP into 33000 ft-lb/min and 1 gal. water into 8.33 lbs. Then using the formula Δp = H * 144 in^{2}/ft^{2} / 62.4 lbs / ft for water, where H is the pump head in feet of water. Finally, substituting the conversions and formula into HP = Q(gpm)* Δp(psi)/1714.
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mhzq007
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hi everyone can anyone please give me a clue of how to derive this equation

Hp= Q(gpm)* Δp(psi)/1714

Q is volumetric flow rate
Δp is pressure
 
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  • #2
mhzq007 said:
hi everyone can anyone please give me a clue of how to derive this equation

Hp= Q(gpm)* Δp(psi)/1714

Q is volumetric flow rate
Δp is pressure

1 HP = 33000 ft-lb/min.

1 gal. water = 8.33 lbs

for water, Δp = H * 144 in[itex]^{2}[/itex]/ft[itex]^{2}[/itex] / 62.4 lbs / ft,
where H is the pump head in feet of water

So

HP = Q*H / 33000 = [Q gal/min * 8.33 lbs / gal * H feet of water * Δp * (144/62.4 lbs / ft[itex]^{2}[/itex])] / 33000

HP = [Q * Δp * 8.33 * (62.4/144)] / 33000 = Q * Δp / 1714
 

1. What is the purpose of deriving THp?

The purpose of deriving THp is to better understand the underlying principles and mechanisms that govern its behavior. This can help us make predictions and improve our understanding of related systems.

2. What are the steps involved in deriving THp?

The steps involved in deriving THp vary depending on the specific system and phenomena being studied. Generally, it involves identifying the relevant variables and equations, manipulating and simplifying these equations using mathematical techniques, and interpreting the results in the context of the system being studied.

3. Can THp be derived for any system?

THp can be derived for any system that can be described by a set of variables and equations. However, the complexity and accuracy of the derivation may vary depending on the system and the available data.

4. What are the limitations of deriving THp?

There may be limitations in accurately deriving THp for complex systems with many variables and uncontrollable factors. Additionally, the accuracy of the derived THp may be affected by the quality and quantity of data available.

5. How can the derived THp be applied in practical situations?

The derived THp can be used to make predictions and guide decision-making in practical situations. It can also serve as a basis for further research and development in the related field.

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