Finding the Optimal Location for a Water Pump in a Deep Mine

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SUMMARY

The optimal location for a water pump in a deep mine is at the bottom of the mine, as suction pumps can only effectively lift water up to 10 meters due to atmospheric pressure limitations. For deeper mines, a forcing pump must be utilized to push water out. The discussion emphasizes the importance of understanding the physics of fluid dynamics, particularly the equation P=P(surface)+rho(g)(h), to determine the pump's placement. For additional credit, positioning the pump 10 meters above the bottom is suggested as a potential consideration.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the equation P=P(surface)+rho(g)(h)
  • Knowledge of pump types, specifically suction and forcing pumps
  • Basic concepts of atmospheric pressure and its effects on fluid movement
NEXT STEPS
  • Research the mechanics of forcing pumps and their applications in mining
  • Study the effects of atmospheric pressure on fluid dynamics
  • Explore advanced fluid dynamics equations relevant to pump placement
  • Investigate case studies on water management in deep mining operations
USEFUL FOR

This discussion is beneficial for mining engineering students, fluid dynamics researchers, and professionals involved in water management and pump system design in deep mining environments.

birdhen
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Homework Statement



You are required to pump water out of a very deep mine. Where should you put the pump?

Homework Equations



P=P(surface)+rho(g)(h)

The Attempt at a Solution



I am sure that this is a very easy problem but I can't see mathematically how to solve it. I know that if the resevoir of water at the bottom was under atmosperic pressure a suction pump could only raise the water about 10 meters and therefore not be useful. So, you would use a forcing pump below the column of water but how do I work out where exactly it goes?
 
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What level is this question (are you in mining engineering college?)
I suspect it just wants you to know that you can't 'suck' water more than 10m - which you have done, and so you would have to pu tit at the bottom.

I suppose for extra credit you could put it 10m up from the bottom!
 

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