I have been hit over the head on more than one occasion when thinking about COP and have come to some interesting observations.
The most important factor is the Carnot efficiency of the potential heat engine that can be driven by the heat output of the LENR device. The Carnot efficiency is defined as 1 - Tc/Th where the Tc is the sink temperature and Th is the output temperature of the device. The temperatures must be absolute such as Kelvin. This potential heat engine can then drive an electric generator at know good efficiency which would then be able to drive the device electrical input requirements. Lets take an example of a heat generation process that puts out 300 C heat and then connect this to a heat engine that sinks the heat into 25 C. The Carnot efficiency would be 1 - (25 + 273)/(300 + 273) = .48. The most work energy that we could achieve from this heat engine is .48 times the available energy of the heat generator. A real life example of a nuclear power plant is calculated in wikipedia at http://en.wikipedia.org/wiki/Heat_engine where the actual efficiency is .30. Not too bad, but clearly imperfect. Now lets consider that we have a heat pump instead of the nuclear generator presented with the input source of water at 25 C and its output at 300 C as before. The COP for an ideal device in this case would be Th/(Th-Tc). If we use the numbers as before we get (300 + 273) / (300 - 25) = 2.08. This sounds like a pretty small number but it is the ideal calculated value and any real life device would do worse. It is interesting to notice that the product of the COP and Carnot efficiency is exactly 1 for an ideal device and you can derive one equation from the other by an inversion. My understanding of the situation is that this is an expression of the "there is no free lunch" thermodynamic law. In other words, in an ideal world we could use a heat pump to take coolant at 25 C and then output it at 300 C with a COP of exactly 2.08. This heated coolant could then be fed to an ideal Carnot engine that outputs its exhaust heat into the original 25 C sink. The ideal heat engine would then do exactly all of the work required by the heat pump to raise the temperature of the sink coolant. This cycle results in exactly zero extra energy output to utilize. Anyone can take the above mathematical model and apply it to the system of their choice to see if that system can generate enough power to drive itself and have left over power for other applications. I just want to point out that COP of an LENR process is not the final word. One must look at the complete system including the input and output temperature of the coolant before the device operation is well defined. Dave -----Original Message----- From: Andre Blum <[email protected]> To: vortex-l <[email protected]> Sent: Mon, Apr 2, 2012 11:26 am Subject: Re: [Vo]:Question about Defkalion products page This page from june 2011 already quotes the 6-30 COP and Xanthi factory. http://nextbigfuture.com/2011/06/defkalion-green-technologies-new.html Andre On 03/30/2012 06:53 PM, Alain Sepeda wrote: Hi, someone cite me todays "products" page of defkalion, and we notice the COP 6 to 30... Today I notice also the factory place in Xanthi, unemployment reference... I've often get through this page not reading it, to find the specs... does anybody remind if the following text is old, or have been modified recently ??? Industrialization The technology is currently in its final stages of becoming an industrialized and commercially viable prototype. This forms the basis for a broad range of products under the commercial name Hyperion. The current range of products produces surplus energy from 6 to 30 times more heat than energy consumed during its operation. Licensing of all Hyperion products is in progress. Manufacturing With three factories located in Xanthi, the region shall gain in employment but also become an international hub where global investors and partners will visit the factory for business and product viewings. Patent Hyperion patents are pending. EU safety certificates are in the process of issuance by the relevant authorities. Product tests will be similar to typical commercially available products with standardized procedures according to Performance; Stability; Functionality; and Safety.
