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- Thread starter Eng27
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berkeman

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Welcome to the PF.

Reynolds number? Try starting first with a more simplified model to get some initial results that are close, then add more complicated modeling in to get more accurate results. What equations can you start with for evaporation as a function of temperature?

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O=.0000881+.0000776*v;

m=((O*(P1-P2))/Y)*A; %water evaporated in kg/s

where:

P1-P2 = difference in vapor pressure between the water and passing air (in Pa)

v=velocity of the air (m/s)

Y=2501; heat of vaporization (in kJ/kg)

A=Area (m^2) of water exposed to the air

I've used this equation in the model but I'm getting results that don't match experimental data. And the area term is pretty hard to estimate in a tumbling dryer situation.

As for the heat transfer, I'm just using the basic equation:

Q=h*A*(T1-T2)

but without a good way to determine h, I've just been inputing numbers until the results of my model start approaching experimental data. The problematic A term is also in this equation.

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SteamKing

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All of which goes to show that the clothes dryer was designed neither by scientists nor engineers.

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Bandit127

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SteamKing

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The dryer blows warm air onto the clothes to increase evaporation and remove the moisture from the fibers. Hopefully, the warm air is also drier and has the capacity to accept more moisture content. If you time dry on a warm humid day versus a cold dry day, your clothes may not come out of the machine fully dry on the hot day.

The tumbling action serves not only to increase air flow over the wet clothes, but it also helps to expose more of the area of the clothes to the warmer air circulating in the machine, otherwise, without tumbling, the clothes would stick together and only those clothes on top would get dried.

Such a simple machine, but devilishly complex to model.

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Chestermiller

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Also check out Treybel, Mass Transfer Operations

Chet

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256bits

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Have a look at Wet-bulb temperature form wkii, the well known source of information

http://en.wikipedia.org/wiki/Wet-bulb_temperature

There are 2 equations that you can use or modify to suit your purpose, plus an explanation.

Basically the clothes are a source of water that has air of a water content blowing over them. From the first eqaution the water from the clothes evaporates into the air and the temperature of the clothes will drop, and the moisture content of the air will increase. Obviously that is not the case but you could use that as one of your models to see how it turns out.

The second equation has a conductive heat transfer from the air to the clothes. With this the moisture content of the air increases and the temperature of the clothes also increases via conduction. From that one gets the Tsat = Twet-bulb, which would be the temperature of the more humid air coming out of the exit tube.

You can also look up adiabatic saturation temperature and see how that is calculated.

Here is a more involved pdf that someone put out there on wet bulb and adaibatic saturation temperatures, though that uses the Reynolds, Prandtl, Nusselt, Lewis, Schmidt, and Sherwood ( that's a new one for me ) numbers and has a few nifty equations, if you really want to be courageous in addapting that to your clothes dryer.

http://www.cambridge.org/us/engineering/author/nellisandklein/downloads/examples/EXAMPLE_9.5-1.pdf

good luck!

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Chet,

These sources look like they should hold the solution to this problem, thanks! They're both a little daunting but hopefully once I get further in, things will start falling into place. I'm going to try one more simplified model using the experimental data I have to estimate mass/heat transfer rates but once I get a good base model set up the equations in these sources should be able to fill any holes.

As for using just the mass/heat transfer involved with a wet-bulb setup, this seems like a good setup for an initial model. But down the line I don't think it takes into account the complexity of what happens at the surface of the fabric. It also wouldn't take the velocity of the air into account which is known to have a sizable effect on the evaporation rate and wouldn't explain the slow-down of evaporation once the clothes get closer to their dry point.

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Chestermiller

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Chet

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