How much heat is transferred by a waterfall in a swimming pool?

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Discussion Overview

The discussion revolves around the heat transfer associated with a waterfall feature in a swimming pool, specifically how much the waterfall contributes to cooling the pool water. Participants explore the application of Newton's law of cooling and the relevant parameters affecting heat transfer, including flow rate, temperatures, and geometry.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant inquires about the specifics of the waterfall's geometry, asking whether it has one or two "faces."
  • Another participant suggests that determining the effectiveness of the waterfall in cooling is complex and estimates a cooling effectiveness of 25% to 50%, depending on various factors like geometry and wind conditions.
  • A participant points out that the temperature used in calculations should be the wet bulb temperature of the air rather than the ambient air temperature.
  • It is mentioned that the wet bulb temperature can be obtained from local weather reports, particularly from nearby airport weather stations.
  • The original poster clarifies that the waterfall has two faces, providing an approximate area for calculations.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of the waterfall for cooling, with no consensus on a specific percentage. There is also a lack of agreement on the appropriate temperature to use in calculations, as one participant emphasizes the importance of the wet bulb temperature.

Contextual Notes

The discussion highlights uncertainties regarding the heat transfer coefficient and the assumptions involved in estimating cooling effectiveness. The dependence on specific environmental conditions and the geometry of the waterfall are also noted as factors that complicate the analysis.

M.Sabbarini
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Hello,
I have a swimming pool with a waterfall feature.
I need to know how much does the waterfall contributes to cooling the pool.
I tried to use Newton's law of cooling, but I have a problem with the Heat Transfer Coefficient in this case.

Following are the Givens:
Waterfall Width= 5m
Waterfall Height= 1m
Waterfall Thickness= 1cm
Waterfall Flow Rate= 100 m3/Hr
Water Temperature= 26 C
Air Temperature= 20 C

I need to Find Q (in Watts).

Could someone help.
Many Thanks.
 
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One or two "faces" to the "fall?"
 
Welcome to PF.

This isn't an easy problem. The effectiveness of the waterfall in cooling the water in it is pretty difficult to determine. 25%? 50%? Definitely not any better than that, but it depends on factors like geometry and wind. I'd probably guess 25% for a ballpark, if it isn't a dense stream.

What I can tell you is you are using the wrong temperature. A waterfall (cooling tower) will cool the water down to the wet bulb temperature of the air. So that's what you need to calculate your approach against.
 
An easy way to get the wet bulb temperature is to check the weather at you nearby airport. Every hour (or sooner) they report wind, visibility, cloud coverage, temperature, dewpoint (wet bulb temp), and the altimeter setting. Most airport weather stations have a local phone number you can call just to receive the weather report. These stations are called an AWOS or ASOS.
 
Hello,
Thank you all, and thanks for pointing out the wet bulb temperature.

The water fall is two faces, so approximate area of both sides is 10 m2.

Thanks
 

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