Thursday, July 30, 2009

[oyalhxor] Wet cotton and insulation

I have often heard that wet cotton is an extremely poor insulator of body heat, variously compared against wool and being naked. I would like to see this tested, for I am skeptical.

Start with cotton and wool swatches of identical dry insulation rating. Moisten the swatches with identical amounts of water, or in a separate experiment, moisten them to saturation.

Heat transfer may occur through three mechanisms: diffusion and convection(?), and evaporation.

In diffusion, vibrating molecules induce neighboring vibrating molecules to vibrate. The heat transfer of diffusion of the wet fabric is probably a linear combination of the heat transfer of diffusion of the dry fabric, defined to be the same by initial choice of fabric, and of the water. With identical amounts of water, this factor will also be the same. Moistened to saturation, it will depend on the maximum amount of water the fabric can absorb.

Convection (that's probably not the right word) will occur if the water moves, transporting heat with itself. The fibers in fabric will probably slow water motion a lot to the point where convection is negligible. Convection does occur if you are being rained upon and you are naked, the rain rolls off your skin, carrying heat away. This is why I am skeptical of the statement that wearing cotton is a worse insulator than being naked when being actively rained upon.

Upon further consideration, convection does occur by capillary action from wet to dry. However if you are being rained upon, the water would be traveling in the wrong direction to carry heat away from your body. (It is good if you are sweating. )

I don't have a good feel for capillary action. It probably depends on the gradient of moistness between the outer and inner surfaces of the fabric, so is not relevant if the fabric is fully saturated with water. It also probably depends on fiber thickness, and density.

Evaporation can carry away heat. But in a situation in which you have just been rained on, or are currently being rained on, and you are trying to stay warm, the humidity is probably very high and the temperature low, so very little evaporation should occur.

The evaporation rate of a fabric depends on fiber surface area.

My reasoning can be refuted by experiment. I am curious where my reasoning is wrong. The experiment has probably already been carried out: if wet cotton's poor insulation were a myth perpetuated by the wool and synthetic fabric industries, the big cotton industry would probably not stand idly by losing profits to such a myth.

2 comments :

Brian said...

Convection is the right word for heat loss to a moving fluid (fluid = gas or liquid). Conduction is heat transfer by direct contact. You also left out the radiation mode of heat transfer - that is how the Predator creature sees us! And why they have metallic emergency blankets, but it is normally weaker than the other modes.

For a human on land evaporation is usually the fastest way heat is lost (of course this is linked to convection, wind accelerates evap). Floating in water "body heat loss is 25 times greater in the water than in the air." this would be via convection. http://www.caske2000.org/survival/survivesea.htm#Hypothermia
Evaporation is so significant because the phase change from liquid to vapor captures a lot of heat.

If you lay down on a rock conduction becomes very significant.

Looks like people have done some qualitative experiments similar to what you suggest:
http://www.inquiry.net/OUTDOOR/winter/health/insulation_basics.htm

You said, "This is why I am skeptical of the statement that wearing cotton is a worse insulator than being naked when being actively rained upon. " I think I agree, cotton seems better than nothing, but they usually say cotton sucks in comparison to wool or synthetics (there is no doubt about this part). In your favor evaporation would happen faster from a naked person... I think if it stopped raining and it was not too windy you'd be better off naked. Because evaporative heat loss would last a long time with cotton on. But while raining the cotton would slow down the movement of cold water over your body (this is basically how a wet suit works).

It takes more body heat to dry cotton than the other fabrics, I think mainly because cotton holds so much, and it doesn't drip dry via gravity since it is hydrophilic.

http://adventure.howstuffworks.com/wool-when-wet1.htm
Wool supposedly usually has air pockets even when wet that help it insulate. It can absorb 30% of it's own weight in water "without feeling wet" (okay so it is not an equal metric to the one below), wool absorbs a lot more than most synthetics.... Woah, okay just found: "cotton can absorb about 25 times its weight in water." http://home.howstuffworks.com/question547.htm

Anyway, cotton is inferior to other fabrics when it is wet. And most people don't go around naked anyway.

Tort Semptor said...

I think the cotton would also act like a sponge so there'd be more water closer to your skin. So skin tight cotton would probably be colder than naked I'd think.