Windmill and Steel Tower: Hypothetical Pumping Sensitivity

Posted by Robbie Dickson on

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Explore how a hypothetical pumping rate changes under selected assumptions for wheel size, wind speed, depth and tower height. The example starts at an assumed 180 gal/hour reference; it is not a measured pump curve or a site-performance forecast.

Windmill and Steel Tower Interactive Calculator

Enter wheel diameter, wind speed, tower height and well depth. Delivery is an assumed normalized scaling—not measured performance or a design guarantee.

0°

Hypothetical normalized delivery
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Delivery divided by 60
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24-hour constant-rate product
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Ideal gpm-head quotient
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Equation Used

Q=180(D/8)^2(V/15)^3(100/L)(T/33)^0.5 gal/h; gpm=Q/60; daily=24Q; water hp=gpm L/3960.
Every exponent and the 180 gal/hour anchor are calculator assumptions. Tower height is used as a square-root multiplier without a site wind-shear model.
  • The 180 gal/hour reference anchor is assumed.
  • Diameter, wind, depth and tower effects follow the displayed normalized exponents.
  • Wind speed is steady and simultaneous with pumping.
  • Hydraulic horsepower uses US gpm-ft/3960.
  • Pump curve, wind distribution, mechanical efficiency, storage and structure are omitted.
FIRGELLI Automations - Interactive Mechanism Calculators
Same mechanism and inputs as the interactive calculator.

Hypothetical Wind-Pump Scaling

The U.S. DOE provides wind-energy context. The delivery curve shown here is a hypothetical assumption, not DOE performance data.

What This Calculator Represents

A hypothetical sensitivity curve around one fixed reference point.

Normalized Scaling

Q=180(D/8)^2(V/15)^3(100/L)(T/33)^0.5
gpm=Q/60
day=24Q
hp=gpmL/3960

Reference Scenario

At 8 ft, 15 mph, 33 ft and 100 ft, the assumed anchor is 180 gal/hour, 3 gpm, 4,320 gal/day and about 0.076 water hp.

Assumptions and Limits

No pump curve, actual wind distribution, efficiency, storage, drawdown or tower design is included.

Frequently Asked Questions

Is 180 gal/hour measured?

No; it is the model anchor.

Why wind speed cubed?

It is an assumed exponent used for this sensitivity comparison; it does not establish the pumping response of a real machine.

Does tower height predict local wind?

No.

Is well depth total dynamic head?

It is used as a simplified proxy.

Is daily water guaranteed?

No.

Can this size a pumping system?

No.

References

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Explore the precision-engineered motion control hardware used by mechanical engineers, makers, and product designers.

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