Patent application
How it works
The basic description on the introductory page describes two columns of fluid (cold and warm) that are connected both at the bottom and top, heated at the bottom and cooled at the top. The different densities of the hot and cold liquids cause the liquid to flow, with the heat entering the system at the bottom, and exiting through the cooler at the top. After that, it's simple.
As we will show below, we need large heights to be able to make useful measurements at all.But we have to solve two problems.The first is that heat can not enter nor exit the system other than up and at the bottom, so a good insulation is required throughout the whole system. Not necessarily 100%, but the closer we get, the better will the cycle efficiency be. The ideal 100% thermal insulation is when the ambient temperature is the same as the temperature of the object being insulated. This would mean expensive laboratory conditions and an energy requirement that could be even higher than the energy gain from the device. The solution is to work with small thermal gradients and look for the ideal insulation.
Calculation
Let's create a random example. Let's say we have a continuous continuous flow of 1kg/s (Q=0.001m3/s) of water in our plant. The cold water down entering the heater will have a temperature of 90°C. The water coming out of the heater will have a temperature of 95°C. I will therefore need about 21kJ every second to heat it. The density of water in the hot column will be 961.9kg/m3 and in the cold column 965.3kg/m3. At a hydrostatic height of 1000m the pressure difference will be 34kPa. Then by the formula P=Q.p we find the theoretical power of the turbine, approximately P=34W. However, we can build another heat circuit on top of the lower heat circuit. The higher circuit no longer needs to be heated, because it gains heat by cooling the lower circuit. Thus we have free heat. Due to the large heat exchanger, we will be working with an extremely small temperature difference, e.g. 0.05°C. Therefore, the 95°C lower hot water heats the upper circuit to 94.95°C and, conversely, the 89.95°C upper cold circuit cools the lower circuit to 90°C. Theoretically, I get further 34W in noble energy.
This means that about 700 circuits, each 1000m high, would need to be stacked on top of each other to at least return the energy we are putting into the device. And that's not even talking about the cycle efficiency, the energy for laboratory conditions, the variation of heat capacity with temperature, let alone the support structure, so more circuits would be needed. With 700pcs of circuits, the upper warm circuit would only have 60°C and the cold one 55°C. As the indicative calculation showed, there would theoretically still be room to add more circuits, but now they would be already producing a net profit.
Perpetual motion ?
Can I get more energy than I put into the system, according to classical physics?
These formulas do not show where the energy comes from. But it is clear from these formulae that for any incompressible fluid there is a height "h" at which the energy gain "P", from the flow, will be greater than the energy "E", required to heat the fluid.
If you liked these formulas, I would be grateful for your support.
Industrial applicability
Creative Commons License ( CC BY )
For all my texts and images on this website powerofthecycle.com, I grant a free Creative Commons ( CC BY 4.0 ), with only the obligation to credit the author, also for derived and commercial use. I have chosen to file a patent application in the Slovak Republic as an available way of publishing the idea, to make it clear that the invention is meant seriously. The patent application is not intended to block the use of the invention and it is possible to use the invention freely for personal non-commercial use in Slovakia as well.
How it works / Calculation / Perpetual motion /Industrial applicability / License ( CC BY )