In the top picture some of the
atoms or molecules near the
hot object have collided with the object and picked up energy from the
object. This is reflected by the increased speed
of motion or increased kinetic energy of these molecules or
atoms (these guys are colored orange).
In the middle picture the
initial bunch of
energetic molecules have
collided with some of their neighbors and shared energy with
them (these are pink). The neighbor molecules have gained
energy though they don't
have as much energy as the molecules next to the hot object.
In
the third picture molecules further out (yellow) have now gained
some energy. The random motions and collisions
between molecules
is carrying energy from the hot object out into the colder surrounding
air.
Conduction transports energy from hot to cold. The
rate
of
energy
transport
depends
first
on
the
temperature
gradient of temperature difference. If the object in the picture
had been warm rather
than hot, less energy would flow or energy would flow at a slower into
the surrounding air.
The rate of
energy transport also depends on the material transporting energy (air
in the example
above). Thermal
conductivities of some common materials are listed. Air is a very
poor conductor of energy. I could put my finger alongside the
flame from the propane torch and not feel anything. Air is
generally regarded as an
insulator.
Water is a little bit better conductor. Metals
are generally very good conductors (cooking pans are often made of
stainless steel but have aluminum or copper bottoms to evenly spread
out heat when placed on a stove). Diamond has a very high
thermal conductivity. Diamonds are sometimes called "ice."
They feel cold when you touch them. The cold feeling is due to
the fact that they conduct energy very quickly away from your warm
fingers when you touch them.
Transport of energy by conduction is similar to the
transport of a strong smell throughout a classroom by diffusion.
Small eddies of wind in the classroom blow in random directions and
move smells throughout the room. For a demonstration you need
something that has a strong smell but is safe to breathe.
I chose curry powder.
With time I was hoping the smell would
spread
throughout the room. It didn't seem to though. The
ventilation system in the Gallagher Theater must be very good. It
quickly replaces air in the classroom with fresh air from outside (if
mercury were ever spilled I'm guessing the ventilation system won't
allow the vapor to build up the dangerous levels). If I ever
teach in the Gallagher again maybe I'll make some hot buttered popcorn.
Because
air has such a low thermal conductivity it is often used as an
insulator. It is important, however, to keep the air trapped in
small pockets or small volumes so that it isn't able to move and
transport energy by convection (we'll look at convection
shortly). Here are some examples of
insulators that use air:
Foam is
filled with lots of small air bubbles, they're what provides the
insulation.
Thin
insulating layer of air in a double
pane window. I don't have double pane
windows in my house. As a matter of fact
I leave a window open so the cats can get in and
out of the house (that's not particularly energy
efficient). And the stray cats have found out about it and come
in to eat my cat's food (and pee on the furniture). Maybe
sprinkling curry powder on the carpet will keep the stray cats out.
Hollow fibers
(Hollofil) filled with air used in
sleeping
bags and
winter coats. Goose feathers
(goosedown) work in a similar way.
Convection
was the next energy transport process we had a look at.
Rather
than moving about randomly, the atoms or molecules move together as a
group (organized motion). Convection works in liquids and gases
but not
solids (the atoms or molecules in a solid can't move freely).
At Point 1 in the picture above a
thin layer of air
surrounding a hot object has
been
heated by conduction. Then at Point 2 a person is blowing the blob of
warm air
off to the right. The warm air molecules are moving away at Point
3 from the
hot object together as a group (that's the organized part of the
motion). At Point 4 cooler air moves in and surrounds the hot
object and the whole process can repeat itself.
This is forced
convection. If you have a hot object in your hand you could just
hold onto it and let it cool by conduction. That might take a
while because air is a poor conductor. Or you could blow on the
hot object and force it to cool more quickly. I put a
small fan behind the curry powder to try to help spread the
smell faster and further out into the classroom.
And actually you don't need to force convection, it will often happen
on its own.
A thin layer of air at Point 1 in
the figure above (lower
left) is
heated by conduction. Then because hot air is also
low density air, it actually isn't necessary to blow on the hot object,
the
warm air will rise by itself (Point 3). Energy is being
transported away
from the hot object into the cooler surrounding air. This is
called free convection. Cooler air moves in to take the place of
the rising air at Point 4 and the cycle repeats itself.
The example at upper right is also
free convection. Room temperature air in contact with a cold
object loses energy and becomes cold high density air. The
sinking
air motions that would be found around a cold object have the effect of
transporting energy from the room temperature surroundings to the
colder object.
In both examples of free convection, energy is being transported
from
hot toward cold.
I could put my finger alongside the flame from the propane torch
without any problem. There's very little energy transported
sideways by conduction. I'm very careful if I put my fingers or
hand above the torch. That's because there's a lot of very hot
air rising from the torch. This is energy transport by
convection.
Free convection is a 3rd way of causing rising air motions
(together with convergence into centers of low pressure and
fronts). They're sketched below together with the 4th
process.
In the 4th process, wind is blowing horizontally when it
encounters a mountain. The air is forced to move up and over the
mountain. Generally the upslope side is where the clouds and rain
form. The dry downwind side is often referred to as a rainshadow.
Now some fairly practical applications, I think, of what we
have
learned about conductive and
convective energy transport. Energy transport really does
show up
in a lot more everyday real life situations than you might expect.
Note first of all there is a temperature difference between
your hand and a room temperature (70 F) object. Energy will flow
from your warm
hand to the colder object. Metals are better conductors than
wood. If you touch a
piece of
70 F metal it will feel much colder than a piece of 70 F wood, even
though they both have the same temperature. A
piece
of 70 F diamond would feel even colder because it is an even better
conductor
than metal. A piece of aluminum and a piece of wood
(oak) were passed around class so that you could check this out for
yourself.
Something that feels cold may not be as
cold as it seems. Our perception of cold is more an
indication of how
quickly our hand is losing energy than a reliable measurement of
temperature.
Here's a similar situation.
It's pleasant
standing outside on a nice day in 70 F air. But if
you jump into 70 F pool water you
will
feel cold, at least until you "get used" to the water temperature (your
body might reduce blood flow to your extremeties and skin to try to
reduce energy loss).
Air is a poor conductor. If you go out in
40 F
weather you will feel colder largely because there is a larger
temperature difference between you and your surroundings (and
temperature difference is one of the factors that affect rate of energy
transport by conduction).
If you stick your hand
into a bucket of 40 F water (I probably shouldn't, but I will suggest
you try this), it will feel very
cold (your hand will
actually soon begin to hurt). Water is a much better conductor
than air. Energy flows much more rapidly from your hand into the
cold water. Have some warm water nearby to warm your cold hand
back up.
You can safely stick your
hand in liquid nitrogen for a fraction of a second. It doesn't
feel particularly cold and doesn't feel wet. Some of the liquid
nitrogen evaporates and quickly surrounds your hand with a layer of
nitrogen
gas. This gas is a poor conductor and insulates your
hand from the cold for a very short time (the gas is a poor conductor
but a
conductor nonetheless; if you leave your hand in the liquid nitrogen
for very long it will freeze and your hand would need to be amputated).
Our
perception of cold is an indication of how quickly our body is
losing energy rather than an accurate measurement of temperature.
This basic knowledge puts us in a perfect position to understand the
concept of wind
chill temperature.
Your body works hard to keep its core temperature around
98.6 F. If you go outside on a 40 F day (calm winds)
you will
feel
cool; your
body is losing energy to the colder surroundings (by conduction
mainly). Your body will be able to keep you warm for a little
while anyway (maybe indefinitely, I don't know). A thermometer
behaves differently, it is supposed to cool to the temperature of the
surroundings. Once it reaches 40 F it won't lose any additional
energy. If your body cools to 40 F you will probably die.
If you go outside on a 40 F day with 30 MPH winds your
body
will lose
energy at a more rapid rate (because convection together with
conduction are transporting energy away from your body). Note the
additional arrows drawn on the figures above indicating the greater
heat loss. This
higher rate of energy loss will make it feel colder
than a 40
F day
with calm winds.
Actually, in terms of the rate at which your
body loses energy, the windy 40 F day would feel the same as a 28
F day without any wind. Your body is losing energy at the same
rate in both
cases. The combination 40 F and 30 MPH winds results in a wind
chill temperature of 28 F.
The thermometer will again cool to the
temperature of its surroundings, it will just cool more quickly on a
windy day. Once the thermometer reaches 40 F there won't be any
additional energy flow. The
thermometer would measure 40 F on both the calm and the windy day.
Standing outside on a 40 F day is not an immediate
life
threatening
situation. Falling into 40 F water is.
Energy will be conducted away from your body more quickly
than
your
body can replace it. Your core body temperature will drop and
bring on hypothermia.
Be
sure
not
to
confuse
hypothermia
with
hyperthermia
which
can bring on
heatstroke and is a serious outdoors risk in S.
Arizona.
Latent heat energy transport was the first topic of the
day. This is the 3rd energy transport process we have talked
about. We're working from least important (in air that is
conduction) to the most important (electromagnetic radiation).
If you had an object that you wanted to cool off quickly you could blow
on it. Or you could stick it into some water, that would cool it
off pretty quickly because water will conduct energy more rapidly than
air. With a really hot object immersed in water,
you'd probably hear a brief sizzling sound, the sound
of boiling water. A lot of energy would be taken quickly from the
hot object and used to boil (evaporate) the water.
Latent heat energy transport is sometimes a little hard to visualize
or understand because the energy is "hidden" in water vapor or
water. And here's another warning.
Latent heat energy transport is
associated with changes of
phase (solid to liquid, water to water vapor, that sort of thing) A
solid to liquid phase change is melting, liquid to gas is
evaporation, and sublimation is a solid to gas phase change (dry ice
sublimates when placed in a warm room, it turns directly from solid
carbon dioxide to gaseous carbon dioxide).
In
each case energy must be added to the material changing phase.
You can consciously add or supply the energy (such as when you put
water in a
pan and put the pan on a hot stove to boil [evaporate] the water) or
the phase change can occur
without you playing any role. In that case the needed energy will
be
taken from the surroundings. When you step out of the shower in
the morning, the water takes energy from your body and
evaporates. Because your body is losing energy your body feels
cold.
The object of this figure is to
give you some appreciation for the
amount of energy involved in phase changes. A 240 pound man or
woman running at 20 MPH has just
enough
kinetic energy (if you could capture it) to
be able to melt an ordinary ice cube. It would take 8 people
running at 20 MPH to
evaporate the resulting water.
You can consciously remove energy
from water vapor to make
it
condense. You take energy out of water to cause it to freeze (you
could put water in a
freezer; energy would flow from the relatively warm water to the
colder surroundings). If one of these phase
changes occurs, without you playing a role, energy will be released
into the surroundings (causing
the surroundings to warm). Note the orange energy arrows have
turned around and are pointing from the material toward the
surroundings (note Tedy Bruschi being released from the water when it
freezes and turns into an ice cube).
A can of cold drink will warm more
quickly in warm moist surroundings
than in warm dry surroundings. Equal amounts of heat will flow
from the warm air
into the cold cans in both cases. Condensation of water vapor is
an additional source of energy and will warm that can more
rapidly. The condensation may actually be the dominant process.
Have you ever stepped out of an air conditioned
building into warm moist air outdoors and had your glasses or
sunglasses "steam up"? It never happens to you (i.e. your body
doesn't steam up) because your body is too warm. However if it
did you would feel warm. It would be just the opposite of the
cold feeling when you step out of the shower or a pool and the water on
your body evaporates.
This figure shows how energy can be
transported from one
location to another in the form of latent heat. The story starts
at left in the
tropics where there is often an abundance or surplus of sunlight
energy. Some of the incoming
sunlight
evaporates ocean water. The resulting water vapor moves somewhere
else and carries hidden latent heat energy with it. This hidden energy
reappears when something (air running into a mountain and rising,
expanding, and cooling) causes the water vapor to condense. The
condensation releases energy into the surrounding atmosphere.
This would warm the air.
Energy arriving in sunlight in the tropics has effectively been
transported to the atmosphere in a place like Tucson.