Thanks for that, SRT Tech. Another note to add to the friction / heating scenario is that the heavier the climber, the more the friction (as well as tension on the rope). I am in agreement with you that "rope lubricated rappel causing uncontrolled descent" is very, very unlikely in tree climbing. Possibly in recreational where the highest trees are often the goal or inexperienced yahoo demons showing off, rather than paying attention to their safety.
I attended a presentation last year at our monthly caving meeting. One of the members had had been out to a national park and rappelled down the face of a monlithic boulder called Half Dome. It was shaped like half a boulder, but had the size of a mountain. It was a very, very long drop, a good chunk of the day just coming down a rope. The presenter said he could sense the heat building up to dangerous levels and used his water bottle, drenching the rack to pull off more heat. It's probably a good thing he did. Those oblivious to the heat generation will be the ones lying next to the gobs of melted plastic.
Over the last 14 years I have used a lot of different devices and all the friction hitches ever covered here at Arboristsite. Close attention is paid to heat, friction, wear on the device/hitch/tress cord and the wear on the rope, as well as how tight a bend on the rope as it passes over a device at the point of friction knowing that the tighter the bend, the more stresses on the fibers and weakening of the rope at that point.
A parallel doubled rope takes 1/2 the friction per line. Additionally, if the friction center utilized both rope-on-metal friction as well as rope-on-rope friction, as well as control friction from your hand, the heat is distributed around and shared to a good degree. Any heat generated
into the rope itself is left behind (above), sparing the device from the full amount of heat buildup. Personally, I like a setup that distributes the heat around in this way, rope-on-rope and rope-on-metal. Most devices, however, take the entirety of the friction (pure rope-on-metal). Some will be absorbed by the rope, but rope doesn't absorb heat well (unless it's wet).
Thanks again, SRT. I would encourage everyone, however, to be aware and be in understanding of what is going on. A simple, non-scientific way to measure the heat generated after a long descent or a really fast descent is to touch the device. If you want even more accurate non-scientific measurement, purse your lips right up to it without actually touching. If you do this 50 or a hundred times you get a very good idea of the level of heat you're generating. Like SRT says,
we as tree cimbers really don't need to worry about it.
As far as the use of devices on a doubled parallel line, it's more important to apply the rope within the device correctly, to be certain how much hand-control it takes to slow or stop, and where are your positions for soft lock / hard lock. Each device is unique, even within the same class of devices. Each class works on the same principal, but it is the finer nuances of it's performance that will determine precisely how it is used.