Calculating Wind Energy and Pump Size

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Discussion Overview

The discussion revolves around calculating the energy produced by wind at a specific speed and the subsequent application of that energy to determine the size of a reciprocating pump for a personal project. The scope includes theoretical calculations related to wind energy and practical applications in engineering.

Discussion Character

  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks to calculate the energy from wind at 2.67 m/s with a turbine blade length of 0.5 m and how to use that energy for a pump calculation.
  • Another participant suggests starting with a thermodynamic calculation to find the maximum power available from the wind turbine, referencing Betz's Law for maximum allowable power.
  • A further suggestion includes estimating the actual power output by taking about half of the theoretical maximum, assuming specific turbine design characteristics.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculations, and the discussion remains unresolved regarding the specific values and methods to apply.

Contextual Notes

There are limitations in the assumptions made regarding turbine efficiency and design characteristics, which may affect the calculations. The context of the project is also relevant to the approach taken.

indistress
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Hi, I'm having a little bit of trouble. I need to work out the amount of energy the wind provides at an average speed of 2.67m/s when the blades of a turbine are 0.5m in length? Also how would I use this energy in order to calculate the size of a reciporacting pump needed to pump a head of water 1m through 0.01m rubber tubing?
 
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indistress said:
Hi, I'm having a little bit of trouble. I need to work out the amount of energy the wind provides at an average speed of 2.67m/s when the blades of a turbine are 0.5m in length? Also how would I use this energy in order to calculate the size of a reciporacting pump needed to pump a head of water 1m through 0.01m rubber tubing?

Welcome to the PF.

What is the context of your question? Is it for schoolwork, a school project, or a personal project?
 
Hi, thanks. It's a personal project for University.
 
You should first start with a simple thermodynamic calculation to determine the maximum amount of power available given the affective area of the wind turbine. You can then apply Betz's Law which determines the maximum allowable power a wind turbine can produce.

http://en.wikipedia.org/wiki/Betz'_law

You can then probably take about half of that value to ballpark the amount of power your turbine will generate assuming its a 3 blade fixed pitch variable speed design with an AC induction or permanent magnet generator.

What's are major? Are you an engineering student?
 
Cheers for the reply. I was going about it all wrong, all sorted now tho :cool:

Thanks
 

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