Good Morning Bernd -
Do you definitely know, that the water at the bottom of the H/X ist 15 (F or C?) colder than on the top?
I don't definitely know it, i.e. even though I have stick on Type T thermocouples still in the box. I was taking my data from a posting by CafeIke (Ian) here:
http://www.home-barista.com/forum...4737-20.html#51817. In addition, if you do a google search on alt.coffee using "thermosyphon" as the key word, you will run into his write-up on a unique thermosyphon stall problem he had with his Vibiemme and he provided temp graphs at the upper and lower tubes immediately where they enter/exit the grouphead. At his point of measurement, you could, maybe add a touch to his upper temp and subtract a little from his lower temp to get the delta T across the hx. I trust his data.
Is it really true, that the design of the thermosiphon is based on any results of computantional fluid dynamics. Given the E61 Legend's simple adjustable flow restrictor (which does not just changes the idle temperature of the group but the the temperature of the brewing water as well) there might be a lot trial and error but I can't see an indication for serious science there)
My most truthful answer is "I don't know." However, given the profileration of the E-61 grouphead, it would surprise me if there did not exist some pretty hard core studies of its heat transfer and fluid dynamics characteristics. I can also surmise that these studies are not in the public domain. I don't consider the injector as being a part of the thermosyphon system (because it is not active when the thermosyphon system is active and vice-versa) although I could see the argument that it is a part of the thermosyphon system. I don't personally know how well the E-61 Legend's adjustable flow restrictor works - there has been, AFAIK, no published info on thermal performance. I bought one to install in Anita but I'm waiting on a rainy day because Anita has some rather tight quarters in that area. A calculation I once did showed me that the thermosyphon flowrate was "in the same ballpark" as the AVERAGE brew flowrate and, based on that, I agree with you that the restrictor also changes the temperature of the water mix entering the grouphead.
Why does the lenght of the injector changes the percentage of top and bottom water that gets to the group. Up to now I did belive that it changes the temperatures of top an bottom water differently, but the mix of top and bottom water in the brew head should just depend on the (dynamical) flow characteristics of the top and bottom part of the H/X.
Let's say the injector has a 3" length, just for discussion purposes. If you changed that to 2.875" or 3.125", I think you might be pressed to detect some brew water temp change. However, if you extended it to, say, 6" or reduced it to zero, I believe you could easily measure the difference. Here the size of the injector (inside diameter) would affect the fluid velocity and thus the dispersion within the hx. The relative amount of water (inertia), above & below the injector tip would govern the mix to the grouphead, in addition to the diameter and effective length of the two tubes. There are many factors, as I believe you know, and that is all the more reason why a model of the heat/mass transfer within these machines is constructed.