jammieg said:
Why does hot air rise?
What I'm really getting at is why should the speed of kinetic motion of the individual atoms of heated air rise compared to it's slow moving neighbor, is it merely because it bounces around more often and so all air competes for dominance upward such that the fastest moving air must go up? I mean when I watch smoke rise I think well these must be some heavy particles in that smoke and so they should go down but instead they go up because it's warmer than the surrounding air...seems odd to me, but then my thermodynamics knowledge is basic maybe that's why or maybe I'm too philosophically trained to accept this answer and be done with it.
1. Hot air does not "rise". It is pushed up by denser (cooler and/or drier) air underneath it. Stop the pushing and the air stops rising. Nothing moves against the pull of the force of gravity unless pushed by a stronger force.
2. Since we are dealing with moving air, we are dealing with non-equilibrium conditions. None of the classical equations that require conditions of equilibrium can be easily applied. The discussion is best approached through the physical disciplines of statistical thermodynamics and non-equilibrium kinetic gas theory. These disciplines describe macroscopic air movement in terms of statistical functions on the molecular level.
3. Molecular flux is the number of molecules passing through one square meter of an imaginary plane in one second. Under conditions of equilibrium, the molecular flux is the same along either arm of any axis of movement. That is, there are as many molecules with an eastward flux as there are with a westward flux. And, there are as many molecules with an upward flux as there are with a downward flux. This number is one-half the mean molecular number density (n/2) in each case.
4. When a parcel of air is moving, this equivalence no longer holds. When a parcel of air is being pushed upward, the upward flux exceeds the downward flux. That is, more air molecules will have an upward component of movement than will have a downward component of movement.
5. Flux rates are affected by both molecular density and molecular speeds. Under the conditions that are normally found in our atmosphere, density seems to be the more important of the two. Cool air “pushes” against warm air more strongly than warm air pushes against cool air. Hence, the hot-air balloon is pushed up and the cool air spills down off of the Greenland ice-cap.
6. At 1000 hPa, the molecular flux rate (x 10
27 molecules m
2 sec
-1) is:
2.73 at 50°C
2.84 at 25°C
2.97 at 0°C
3.11 at -25°C
7. Hence, cool air flows toward warm air. We describe this by saying that “warm air rises”, but it is actually being pushed up by the cooler air.