Help with Mine Engineering Assignment Questions

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SUMMARY

This discussion focuses on calculating the required power for pumping water in mine engineering assignments. The specific questions involve determining power for two scenarios: pumping 11.36 liters per second against a total dynamic head of 112.78 meters at 70% efficiency, and pumping 4000 liters per minute against a total dynamic head of 120 meters at 75% efficiency. The formula provided, P = Q.γ.H / 10^6, is clarified as needing adjustments for efficiency and unit conversions, particularly in understanding the multiplier for power calculations.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with pump efficiency calculations
  • Knowledge of unit conversions (liters to kilograms, seconds)
  • Basic grasp of energy and power equations in physics
NEXT STEPS
  • Research the derivation of the power formula P = Q.γ.H / 10^6
  • Learn about pump efficiency and its impact on power calculations
  • Study unit conversion techniques for fluid flow rates
  • Explore case studies on pump performance in mining applications
USEFUL FOR

Mine engineering students, hydraulic engineers, and professionals involved in fluid mechanics and pump system design will benefit from this discussion.

Poco Express
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Hi
I am doing a mine engineering degree by correspondence and I have an assignment to do and the lecture notes do not provide any assistance on some of the cals.
I am hoping some of you can help me
I will start with these two questions and see if you can help before posting more:
Q1)
Determine the reqired power to pump 11.36 l/s against a total dynamic head of 112.78m if the pump operates at 70% efficiency
Q2)
What is the required power to pump 4000 litres per minute against a total dynamic head of 120m if the pump operates at 75% efficiency

The formula the notes gives me is
P = Q.γ.H / 10 power 6
But I can't work out what this means
 
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This is a decent little paper on pump requirements.

I've never seen a power formula with 10^6 in the denominator.

Generally, the equation is some form of: [(Flow rate)*(Head)*(Specific Gravity)] / [(multiplier)*(% efficiency/100)]
Of course care must be given to units to determine the value of the multiplier in order to get your power in the correct units as well. Though, again, I don't know how the multiplier could go as high as 10^6.

Nor do I know what the y is in this equation (is it SG? If so, where is the efficiency considered?).
 
Poco Express said:
Hi
I am doing a mine engineering degree by correspondence and I have an assignment to do and the lecture notes do not provide any assistance on some of the cals.
I am hoping some of you can help me
I will start with these two questions and see if you can help before posting more:
Q1)
Determine the reqired power to pump 11.36 l/s against a total dynamic head of 112.78m if the pump operates at 70% efficiency
Q2)
What is the required power to pump 4000 litres per minute against a total dynamic head of 120m if the pump operates at 75% efficiency

The formula the notes gives me is
P = Q.γ.H / 10 power 6
But I can't work out what this means

I assume we're talking about water.
Q1:
1st, what is the energy (in Joules) needed to lift 11.36 l over a height of 112.78m?
2nd, what power is required to do this in a time of 1s?
3rd, how do you adjust the required power in light of the 70% pump efficiency?

Q2: same thing except convert l/min. to kg/s.
 

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