Pumped storage of energy from ambient temperature II

While wordpress was down yesterday I lost a little work on the previous article because of a bad interaction between Firefox and the partly down wordpress server. The browser back button did not return to a page where I could save my text. Firefox had forgotten it after sending it to the server and receiving an updated page (showing an empty blog), and the server had no record of the text. So I started working on the article at renewableenergy.wikia.com. I hate re-doing things, but it all came out for the best because I finally got the design right.

Please refer to the image of the tanks, pipes, valves, and reservoirs. 

The article is still in a state of flux, but I believe I now have all of the elements of a workable design. I figured out how to make the water motion reversible: water is moved between many pairs of low-pressure tanks at different elevations by adjusting the air pressure difference so that water flows either up or down through a U tube (with valve) connecting each tank of a pair. The pressure difference is coupled to the hydrostatic pressure applied to pairs of high-pressure tanks so that expansion of many different levels of high-pressure gas exerts a low pressure force raising water from many lower tanks to many higher tanks at once, while the pressure generated by water flowing downward from many pairs of higher and lower tanks together creates an increase in the hydrostatic pressure of a column of water feeding the high-pressure tanks, which compresses the air.

This machine is so simple it is amazing. It isn't quite obvious, but it will seem so once built. During compression, the slight pressure created by water flowing downward in many pairs of tanks at once is combined and applied to the space above an enclosed water reservoir at about the same height as the upper lake. The level of the enclosed reservoir is restored to the level of the upper lake after every step. (I call it a step rather than a cycle, because this machine completes one trip around the thermodynamic cycle each day). Thus, water descending in many pairs of tanks at different elevations generates air pressure which combines to push down on the top of a column of water, which compresses air at many different pressures simultaneously.

During expansion, the air pressure inside the hydrostatic tanks causes air flow until the hydrostatic pressures equal the air pressures inside all tanks. This causes an increase in the height of the water in the enclosed top reservoir, a decrease in the available volume for the enclosed air, and an increase in the air pressure. This air pressure appears in the lower tank of a pair of low-pressure tanks, and forces water down through the U tube and up into the upper tank of the pair. Thus, expanding gas pumps water.

The enclosed reservoir drain can be connected to either the even or odd hydrostatic manifold, while the upper lake is connected to the other one. The even hydrostatic manifold connects to the drain ports on the even numbered hydrostatic tanks, while the odd manifold connects to the odd numbered tanks. The manifolds are completely filled with water from the surface of the upper lake or reservoir to the water surface inside those tanks which contain air, or else to the top of the tanks. So the hydrostatic pressure at the surface of the water equals the vertical distance from the reservoir surface to the water surface inside the tank. Water will flow and air will compress or expand until the air pressure equals the hydrostatic pressure. This can't take very long because the pressures are never very far apart.

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