Garry Whitman
whitman@kskc.net
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> Just had to do this.. it's been bugging me as to how this exit force
> from a centrfugal nozzle head could produce overunity. So here is
> some math (sorry Engineer here) that will explain what a Normal
> "sprinker head" would achieve in power. Forgot you said this.. but
> the raduis squared does come into play.. however.. still do not
> see where the "kick over" occurs for over unity.
>
> OK.. make believe we have a sprinkler (twisted L shaped on each
> side) which is feed water in the center of it. THis sprinker is turning
> at a velocity of "w" and the length of the arms (in the L forms) are
> "L". The exit velocity realitve to the nozzles are "Ve" for exit
velocity,
> and the area of the exit nozzle is "A". I think that now covers it.
> Assumptions have to be made now.. and we concider that laminer
> flow is occuring and no resistance is taken in to account (friction or
> heating). What we want to find is the power produced from this
> sprinkler. So..the moment around the z-axis.. will be the summations
> of all (r xV)*p*V*A . Opps now "r" is radius, and "p" is density of
> water. p*V*A is called the mass efflus of the nozzle.. or lets say "m"
> for now. The moment going into the hub.. enterance of water... is
> zero cause the radius "r" is zero. Thus the equation reduces to only
> one sum.. or (r x V)*m. Now we have to take into account for the
> rotational velocity and the velocity of the zozzle exit jet... in to the
> normal atmosphere. Now we can subsitute r X V = -r*(Ve - w*r).
> Thus the moment applied to the system by the generator would
> be -r*(Ve - W*r)*m. BUT the moment applied to the generator is the
> negative of the moment of the generator on the arms. So the equation
> becomes positive... no biggy!
>
> The power now is simple...one we have the moment.. It is the moment
> time the rotational velocity.. (M = moment) or M*w = P for Power!
>
> For all who would like the in to one equation .. here...
> P = (w*r*Ve - w*w*r*r)*m
>
> ENSURE.. that proper mks units are used for example ... RPM has
> to be changed to RPS.. etc etc.. and don;t forget 2*pi for rotational
> velocity!
>
> v/r Ken Carrigan
>
> PS.. NOW... WHERE IS THE OVERUNITY!!!
> Help me understand...
>