Calculating Energy Needed to Fill Basins with Water

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Discussion Overview

The discussion revolves around calculating the energy required to transfer water between two basins of specified dimensions. Participants explore the theoretical framework for determining the energy needed to fill one basin to the top using water from another basin, considering factors such as height, volume, and the absence of frictional losses.

Discussion Character

  • Technical explanation, Mathematical reasoning

Main Points Raised

  • One participant requests assistance in calculating the energy needed to fill one of the basins, providing dimensions and context for the problem.
  • Another participant estimates that the energy required is equivalent to lifting 96 tonnes of water vertically by 8 meters.
  • A third participant presents a formula for calculating the minimum energy required, detailing the variables involved: height of water, length and breadth of the tank, gravitational acceleration, and water density.
  • There is an acknowledgment of the formula's assumptions, specifically the neglect of frictional losses in the system.

Areas of Agreement / Disagreement

Participants present different approaches to the problem, with no consensus reached on a single method or solution. The discussion remains open to further exploration of the calculations involved.

Contextual Notes

The discussion does not clarify the assumptions regarding the efficiency of the motor or the specific conditions under which the calculations apply, such as potential frictional losses.

Yoann
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I'm currently working on a project, but I'm no engineer or physicist, so I'm limited in my calculations. It would be great if you guys could help me out!

I joined an image to this post to help understand. There are two basins, height = 16 meters, length = 4 meters and width = 3 meters. They are next to each other, and both half-full with water. If there is a kind of motor or machine connecting both basins and located in the bottom that can transfer the water from one basin to the other, how much energy/electricity would the motor/machine use in order to fill one of the basins to the top with the water from the other basin? (so basically fill the top half)

If there's any kind of formula that could help me calculate this, that would help me big time.

Thanks!

http://img221.imageshack.us/img221/3350/photo6dw.jpg
 
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It would take the same energy as required to lift 96 tonnes of water (8x4x3) vertically by a height of 8m.
 


The minimum energy you need (that is assuming no frictional losses in pipes etc) is h2LBgρ in which

h is the height of water in each half (not the combined height) [enter in m]
L is the length of tank [enter in m]
B is the breadth of tank [enter in m]
g = 9.8 N kg-1
ρ = density of water = 1000 kg m-3

The answer will come out in joule (J)
 


Thanks, appreciate your help! That helps a lot!
 

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