Falling Water

best idea ever, might get a Physics Nobel.
Was drinking too-hot tea, and thinking of cooking from the inside out if one drank boiling fluid.
But had been standing under very hot water, heating up for the day, thinking.
It is not the temperature that makes it bearable, but the fact the temperature of the water is falling.
Continually boiling water is adding heat at an aggressive rate, but as long as the temp is falling, even gradually and imperceptibly, then the water is bearable to the skin.
It is falling at a falling rate.
The temp is falling as the water is falling, in drops, like rain.
Question: is the energy released by the falling temperature converted to kinetic energy causing the drops to fall faster than they would if they were just accelerating downwards due to the principles of the Theory of Gravity.
It is a continuous process, and it would be an addition to the rate of increase, the second derivative.
I bet no one has ever measured this and it would be quite easy to film falling drops from a distance.
All of the lost heat is presumed to be transferred to the exterior of the drops where the temperature is lower.
It must be remembered that what we perceive as 'temperature' at our macro-level, is actually the kinetic energy of individual particles at an atomic level that is imperceptible to us.  Hot water is hot because the water molecules have a lot of kinetic energy and are constantly bumping into each other, exchanging energy when they do.
At the surface of the bubble of falling water some of the molecules will bounce straight out of the bubble, taking energy with them in their speed away, a form of linear kinetic energy.
However, heat lost to the surroundings of the bubble as the bubble cools might not account for all of it.
The kinetic energy of the particles is usually random in all directions equally so no direction results but in the direction of falling, where potential energy is already being converted to kinetic energy as the drop speeds up, some molecular energy will align with the over-all 'gravitational' kinetic energy and combine with it, increasing the rate of downward acceleration above Newton's predictions. 
While we are referring to movement of atoms and molecules, it is still at a vastly grosser and larger scale than the effects of Quantum Mechanics.  It is hard to imagine how very small 'very small' really is.
So what is the advantage besides something to think about under the shower?
Perhaps in Space Travel, where distances are vastly larger than my shower, some form of cooling could be converted to kinetic energy, creating a new type of hyper-drive.  Then again, at that sort of fuel storage temperature, there would probably be atomic fusion anyway, a much more efficient fuel.
While they are falling, the drops do fall a lot in temperature, but it wold be better if inverted, so the hot water fell on my feel and by the time it reached my head it wasn't brain-boiling.