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New Energy Technologies Magazine nr 3 2005.pdf - Index of

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weight <strong>of</strong> the left ones by the weight <strong>of</strong> the<br />

water filling the useful capacities, an<br />

additional force will influence the right side<br />

<strong>of</strong> the belt and create a rotary moment <strong>of</strong> the<br />

systems:<br />

Z=mgNR (1),<br />

where m is the mass <strong>of</strong> the water in the useful<br />

capacity; g is the acceleration <strong>of</strong> free fall; N<br />

is the number <strong>of</strong> the cylinders filled with<br />

water in the vertical sector <strong>of</strong> the belt; R is<br />

the wheel's radius.<br />

Thus, the belt will rotate clockwise. When the<br />

cylinder filled with water will pass the lowest<br />

point and occupy a vertical position, the<br />

piston will press the water out <strong>of</strong> the cylinder<br />

under the influence <strong>of</strong> gravity force. At the<br />

same time, in the upper cylinder, which is<br />

connected with it, the piston will go down<br />

under the influence <strong>of</strong> the weight and draw<br />

the water from the lower cylinder into its<br />

useful capacity. Both weights will operate in<br />

the same direction under the influence <strong>of</strong><br />

gravity force overcoming a pressure <strong>of</strong> a<br />

liquid spout with height H (where h is an<br />

upright distance from the bottom <strong>of</strong> the left<br />

lower cylinder to the bottom <strong>of</strong> the right<br />

upper one). A condition <strong>of</strong> the water raise will<br />

be determined by the excess <strong>of</strong> the sum <strong>of</strong><br />

pressures created by two weights over a<br />

pressure created by water spout H:<br />

2Mg/s ρgH (2),<br />

where M is the mass <strong>of</strong> the weight; s is the<br />

sectional area <strong>of</strong> the cylinder's useful<br />

capacity; ρ is the specific density <strong>of</strong> the liquid.<br />

it follows that an optimal height <strong>of</strong> water<br />

rises:<br />

H = 2M/sρ (3).<br />

Due to the fact that, if the lower cylinder is<br />

located vertically, the water from it raises up<br />

to height H in the upper cylinder, which is<br />

connected with it, the system increases its<br />

potential energy by a value <strong>of</strong><br />

E 0<br />

= mgH (4)<br />

under the influence <strong>of</strong> gravity force inside the<br />

cylinders. The water mass corresponds with<br />

the cylinder's useful capacity:<br />

m = ρsL (5),<br />

where L is a length <strong>of</strong> the useful capacity.<br />

Using (4) and taking into account (3) and (5),<br />

the potential energy increase can be<br />

expressed as<br />

E 0<br />

= 2MgL (6),<br />

which is equivalent to the work produced<br />

during motion <strong>of</strong> the weights under the<br />

influence <strong>of</strong> gravity force in both cylinders.<br />

Thus, the described system is a gravity<br />

engine <strong>of</strong> perpetual mobile type able to<br />

produce yield using only gravity force.<br />

Thus, the gravity engine's power will be<br />

determined by a quantity <strong>of</strong> the cylinders<br />

passing through a permanent point <strong>of</strong> the<br />

system (n) per second and efficiency (η)<br />

taking into account friction losses:<br />

W=nE 0<br />

η (7)<br />

Under permanent speed <strong>of</strong> the belt's motion<br />

(V):<br />

n=V/(L+d) (8),<br />

where d is the interval between adjoining<br />

capacities <strong>of</strong> the cylinders. Putting (7) into<br />

expressions (6) and (8), we obtain an<br />

expression <strong>of</strong> the power as:<br />

W=2MgVηL/(L+d) (9)<br />

It can be seen that a maximal power can be<br />

obtained by a possible increase <strong>of</strong> the belt's<br />

motion and placing the cylinders on the belt<br />

with minimal allowable intervals.<br />

However, it is early to talk about efficiency<br />

and future possibilities <strong>of</strong> the gravity engine<br />

without making an experimental test.<br />

The author would be thankful for critics and<br />

discussion the model proposed.<br />

24 <strong>New</strong> <strong>Energy</strong> <strong>Technologies</strong> #3(22) 2005

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