I keep an open water bucket in my coop.
I often see people say not to do that in the winter because of the moisture it adds via evaporation.
I don't think it adds enough to matter (at least in a well ventilated coop), partly because I don't see evidence of it mattering in my coop and partly because I don't think the physics of it mattering make sense.
So, I tried to do the math to find out.
https://www.engineeringtoolbox.com/evaporation-water-surface-d_690.html
gives a formula that is the most applicable I found with a moderate amount of looking. See the link at the end of this post for more information on the difficulties of coming up with such a formula.
g h = Θ A (x s - x)
where
g s = amount of evaporated water per second (kg/s)
g h = amount of evaporated water per hour (kg/h)
Θ = ( 25 + 19 v ) = evaporation coefficient (kg/m 2 h)
v = velocity of air above the water surface (m/s)
A = water surface area (m 2 )
x s = maximum humidity ratio of saturated air at the same temperature as the water surface (kg/kg) (kg H 2 O in kg Dry Air)
x = humidity ratio air (kg/kg) (kg H 2 O in kg Dry Air)
---
For a swimming pool 50 meters by 20 meters
g s = (34.5 kg/m 2 h ) (1000 m 2 ) ((0.014659 kg/kg) - (0.0098kg/kg)) / 3600
Which calculates out as 0.047 kg/s
My math is weak so I experimented with their equation
0.014659 - 0.0098 = 0.004859
0.004859 x 1000 = 4.859
4.859 x 34.5 = 167.6355
167.6355 divided by 3600 = 0.04656542
Round to three decimal places = 0.047
So, to get the numbers easier for me to see... skip the divide by 3600 to get kg per hour instead of kg per second
167.6355 kg/hour
If the "swimming pool" is 1 sq meter instead of 1000 sq meters and the unit is g instead of kg then
A meter by meter surface would evaporate 167.6355 grams per hour (at these temperatures and this humidity).
A meter by meter = 100 cm by 100 cm
100 x 100 = 10,000 sq cm
167.6355 divided by 10,000 is 0.01676355 g per hour per sq cm
My water bucket is 16 cm in diameter.
area of a circle is pi r squared
3.16 x 8 x 8 = 202.24 sq cm
0.01676355 g per hour per sq cm X 202.24 = 3.39 g per hour.
That is a mostly meaningless number to me.
There are 240 grams of water in a cup of water. A chicken drinks 2 to 4 cups of water per day. So, 480 to 960 grams per day.
3.39g per hour x 24 hours = 81 grams per day.
My water bucket might produce as much as 1/5 of a chicken if all the moisture a chicken produces is released via their poop, breath, and such. I couldn't quickly find info on how much moisture a hen generates in a day but they certainly can't generate more than they take in.
My water bucket doesn't evaporate that much in the winter (and it only matters in the winter) because the formula was for water at 20C (68F), and air temperature of 25C (77F). I couldn't quickly find the numbers for different temperatures. Many sources state that there is much higher evaporation rates at higher temperatures without giving numbers. And I can see that it makes a lot of difference just in how long it takes spilled water to evaporate on a warm day vs a cold day.
Similarly, I didn't easily find the numbers for different humidity levels. I decided it didn't matter for this purpose, partly because the outside humidity level around here is very rarely lower than what was used in the swimming pool example. Higher humidity will slow the evaporation.
For a discussion about some of the difficulties of making a formula for the rate of evaporation of water see
https://van.physics.illinois.edu/ask/listing/1440
I noticed that most of the issues they discuss slow down the rate of evaporation in my context (for example, how much the body of water is mixed by stirring or current, how much wind moves across the surface).
Edit it fix grammar.
And add conclusion: It makes sense to continue not worrying about the open water.
I often see people say not to do that in the winter because of the moisture it adds via evaporation.
I don't think it adds enough to matter (at least in a well ventilated coop), partly because I don't see evidence of it mattering in my coop and partly because I don't think the physics of it mattering make sense.
So, I tried to do the math to find out.
https://www.engineeringtoolbox.com/evaporation-water-surface-d_690.html
gives a formula that is the most applicable I found with a moderate amount of looking. See the link at the end of this post for more information on the difficulties of coming up with such a formula.
g h = Θ A (x s - x)
where
g s = amount of evaporated water per second (kg/s)
g h = amount of evaporated water per hour (kg/h)
Θ = ( 25 + 19 v ) = evaporation coefficient (kg/m 2 h)
v = velocity of air above the water surface (m/s)
A = water surface area (m 2 )
x s = maximum humidity ratio of saturated air at the same temperature as the water surface (kg/kg) (kg H 2 O in kg Dry Air)
x = humidity ratio air (kg/kg) (kg H 2 O in kg Dry Air)
---
For a swimming pool 50 meters by 20 meters
g s = (34.5 kg/m 2 h ) (1000 m 2 ) ((0.014659 kg/kg) - (0.0098kg/kg)) / 3600
Which calculates out as 0.047 kg/s
My math is weak so I experimented with their equation
0.014659 - 0.0098 = 0.004859
0.004859 x 1000 = 4.859
4.859 x 34.5 = 167.6355
167.6355 divided by 3600 = 0.04656542
Round to three decimal places = 0.047
So, to get the numbers easier for me to see... skip the divide by 3600 to get kg per hour instead of kg per second
167.6355 kg/hour
If the "swimming pool" is 1 sq meter instead of 1000 sq meters and the unit is g instead of kg then
A meter by meter surface would evaporate 167.6355 grams per hour (at these temperatures and this humidity).
A meter by meter = 100 cm by 100 cm
100 x 100 = 10,000 sq cm
167.6355 divided by 10,000 is 0.01676355 g per hour per sq cm
My water bucket is 16 cm in diameter.
area of a circle is pi r squared
3.16 x 8 x 8 = 202.24 sq cm
0.01676355 g per hour per sq cm X 202.24 = 3.39 g per hour.
That is a mostly meaningless number to me.
There are 240 grams of water in a cup of water. A chicken drinks 2 to 4 cups of water per day. So, 480 to 960 grams per day.
3.39g per hour x 24 hours = 81 grams per day.
My water bucket might produce as much as 1/5 of a chicken if all the moisture a chicken produces is released via their poop, breath, and such. I couldn't quickly find info on how much moisture a hen generates in a day but they certainly can't generate more than they take in.
My water bucket doesn't evaporate that much in the winter (and it only matters in the winter) because the formula was for water at 20C (68F), and air temperature of 25C (77F). I couldn't quickly find the numbers for different temperatures. Many sources state that there is much higher evaporation rates at higher temperatures without giving numbers. And I can see that it makes a lot of difference just in how long it takes spilled water to evaporate on a warm day vs a cold day.
Similarly, I didn't easily find the numbers for different humidity levels. I decided it didn't matter for this purpose, partly because the outside humidity level around here is very rarely lower than what was used in the swimming pool example. Higher humidity will slow the evaporation.
For a discussion about some of the difficulties of making a formula for the rate of evaporation of water see
https://van.physics.illinois.edu/ask/listing/1440
I noticed that most of the issues they discuss slow down the rate of evaporation in my context (for example, how much the body of water is mixed by stirring or current, how much wind moves across the surface).
Edit it fix grammar.
And add conclusion: It makes sense to continue not worrying about the open water.
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