I have been playing with math and wanted to share some interesting calculations that I have generated. This work involves progress toward my search for a coupling mechanism which leads to a slow form of chain reaction based upon phonons or heat. There are some interesting bits of data that have been uncovered, where some of the conclusions may seem obvious after the fact. My current model is of a simple design and assumes that an ECAT like device uses 100 grams of Nickel with a density of 8.908 grams per cubic centimeter. I have assumed that each LENR reaction yields 5 MeV of energy but this can be adjusted freely to match any desired level. Also, the diameter of the nickel spheres is adjustable with an initially assumed size of 10 micrometers.
The excess power generated by the modeled system is initially 10,000 watts and this can be adjusted freely. Energy leaves the spheres through the surface area and therefore I have concentrated most of my effort on power per square centimeter behavior. Rossi's device appears to operate at a level of approximately .150 watts per square centimeter which is not too excessive. Calculations which assume .150 watts exiting each square centimeter show that the size of the spheres is inversely proportional to the power being generated. In other words, a collection of spheres 10 micrometers in diameter should generate 1/10 the power released by a collection of spheres that are 1 micrometer in diameter. This particular model assumes a constant total mass of nickel of 100 grams and a type of reaction that occurs upon the surface of the spheres. I am pursuing reactions that occur throughout the entire mass of the spheres as well, but this particular note is restricted to surface effects only. It is interesting to see that each tiny reaction surface area can be broken into squares whose sides are approximately 100 atoms each which in this case calculates to be 26.2 nanometers per reaction per second. This of course is the average value over all of the small spheres of an ECAT like device. The calculated size throws a bone to the vorts that have strong feelings about nano plasmonics. It would be interesting to obtain data concerning the excess power generated versus average size of the spheres of nickel. If the power varies inversely with diameter then additional support will be shown that we are seeking a surface effect in this version of LENR. I have interesting additional material to share at a latter date, and I feel that calculations of this nature might lead to important insights. Dave
