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Rpm Formula


By Guerreiro, Section Homebrewed Electricity
Posted on Thu Nov 6th, 2003 at 07:49:27 AM MST
www.fieldlines.com

Does anyone know a formula that to given rotor diameter and number of blades, will relate wind vellocity with Rpm.
Thanks,
Guerreiro
Rpm Formula | 12 comments (12 topical, 0 editorial)

Re: Rpm Formula (none / 0) (#1)
by windstuffnow (elenz(at)windstuffnow(dot)com) on Thu Nov 6th, 2003 at 10:39:34 AM MST
(User Info) http://www.windstuffnow.com/main

   Here is one that I use,

Windspeed x 88 / ( Dia x Pi ) x TSR = RPM

Windspeed in mph
Diameter in feet

An Example:

12mph wind x 88 / ( 6ft prop x 3.14 ) x 6 = 336 rpm

Have Fun
Ed

Have Fun! Windstuff Ed



Re: Rpm Formula (none / 0) (#2)
by DanB (danb@*no spam*otherpower.com) on Thu Nov 6th, 2003 at 10:47:54 AM MST
(User Info) http://www.otherpower.com/

Hi Ed - where does the 88 enter into it?  Im not clear on that... does that represent the proper loading from the alternator or something?

[ Parent ]


Re: Rpm Formula (none / 0) (#3)
by windstuffnow (elenz(at)windstuffnow(dot)com) on Thu Nov 6th, 2003 at 12:01:48 PM MST
(User Info) http://www.windstuffnow.com/main

  Hi Dan,
    The "88" in the formula converts mph to feet per minute.  Since were measuring the circumference of the prop in feet it makes a quick conversion to divide the two and get rpm.  Just easier than converting mph to miles per min to feet per min.

Have Fun
Ed

Have Fun! Windstuff Ed
[ Parent ]



Re: Rpm Formula (none / 0) (#4)
by DanB (danb@*no spam*otherpower.com) on Thu Nov 6th, 2003 at 12:05:49 PM MST
(User Info) http://www.otherpower.com/

I see :-)  that makes sense.
yes, that does make it easier, I always do it the long hard way I guess...
Thanks Ed!

[ Parent ]


Re: Rpm Formula (none / 0) (#5)
by monte350c on Fri Nov 7th, 2003 at 03:14:56 PM MST
(User Info)

Hi Ed,

Would this formula work for an H-Bar Darrieus? Or is there another more suitable. I'm thinking the unit I'm building (10 ft. diameter x 6.25 ft. high blades) will be happy between 175 to 225 rpm.

Another question, I've read varying opinions about speed control, some say it's needed, others say the Darrieus is self regulating to a degree. I'm going to incorporate speed brakes on this thing anyhow, but was wondering how necessary they really are...

Ted.

This IS fun!

[ Parent ]



Re: Rpm Formula (none / 0) (#6)
by windstuffnow (elenz(at)windstuffnow(dot)com) on Fri Nov 7th, 2003 at 03:52:00 PM MST
(User Info) http://www.windstuffnow.com/main

  Hi Ted,
    Yea, the formula works for anything that'll spin as long as you know the TSR your looking for.  As far as a darrieus controlling itself in the wind????  I think it would control itself to self destruction if allowed to.  Like anything you put in front of mother nature... she can and will break it.  I'd go for the control system if your heart is set on a Darrieus type turbine.  In a 40 mph wind it would be running at around 450 rpm and the blade speed would be around 160mph assuming a TSR of 4 was achieved.  Imagine what the blades would weigh at that speed? Yikes!!!

Have Fun
Ed

Have Fun! Windstuff Ed
[ Parent ]



Re: Rpm Formula (none / 0) (#7)
by monte350c on Fri Nov 7th, 2003 at 09:50:40 PM MST
(User Info)

Thanks Ed,

The speed brakes (spoilers) are mounted on the upper struts, deployed by centrifugal force. They will be set to start deploying at 250 rpm. They deploy up into the wind stream so the resultant force is down against the tower. I figured at least I could make RCF work FOR me in that small way. There's a disk brake too in case that fails. And an aircraft type woven cable through each wing, bolted to the torque tube in case both of those fail so the pieces will stay close to the tower.

At 2 lb per blade and 450 rpm TSR 4 I make it 690 lb. (Yikes is right...)

Thanks for the formula - I really like things distilled to the KISS principle wherever possible.

This is a lot of fun - I'll post pics once this thing is done. Hopefully about 2 weeks.

Ted.

[ Parent ]



Re: Rpm Formula (none / 0) (#8)
by windstuffnow (elenz(at)windstuffnow(dot)com) on Sat Nov 8th, 2003 at 06:51:27 AM MST
(User Info) http://www.windstuffnow.com/main

   I figure at 160 mph a 2 lb blade would create 1800 hp at the point of release... that could sting!  Need a system that would constantly release the blades into a collection chamber and turn the forces into watts!!  The power of 1 release could power the house for a month.  Kind of makes you think wer're looking for power in the wrong direction.
   I did some experiments with aileron flutter, the forces are somewhat similar to loosing a blade on a darrieus.  Its pretty impressive once you start the motion... stopping it or controlling it is a whole new ball game.  Very destructive, extreemly powerfull.

Have Fun
Ed

Have Fun! Windstuff Ed
[ Parent ]



Re: Rpm Formula (none / 0) (#9)
by monte350c on Sat Nov 8th, 2003 at 07:41:52 AM MST
(User Info)

Hi Ed,

Destructive is right! Something like http://www.fieldlines.com/story/2003/10/29/72741/101

I'll be trying a few different composite blade coverings this week to see if I can get something strong enough that's less than 2 lb. I do a bit a flying too and one of the things that was stressed to us back when I was studying for my license was a good pre-flight on the prop. Cause if a blade flies off during flight the resulting imbalance can cause some pretty bad stuff to happen to the remaining rotating assembly - like a motor coming off for example. Then the C of G moves so far aft the whole thing becomes 100 percent uncontrollable.

I kind of like the larger diameter idea - I am trying a Darrieus first, but I'm planning a 12 foot or so prop model next. If the diameter is big, and the rpm's are controlled the machine can rotate relatively slowly and still capture significant power.

It is a lot of fun!

Ted.

[ Parent ]



Re: Rpm Formula (none / 0) (#10)
by windstuffnow (elenz(at)windstuffnow(dot)com) on Sat Nov 8th, 2003 at 10:19:40 AM MST
(User Info) http://www.windstuffnow.com/main

  Hey!!! I know about prop problems...  We had just taken off from the three rivers airport, climb rate seems a bit sluggish but expected being a hot summer day.  Reaching an altitude of around 500 ft out of nowhere BANG... the whole plane started to shake violently I reached over and shut the engine down as an almost imediate response just after pushing the stick forward to maintain air speed at the same time looking for an open field.... nothing but trees except for a small open patch... no choice, at 500 ft you have about 5 seconds to react and make a decision.  Down I went and made it to the field clipping a couple trees on the way in.  Into the field I went with both feet planted on the toe brakes with enough adrenilin to bend the floor pan... Aiming the plane between two trees at the end of the field hoping I could stop it before I hit.  There were two very large ruts crossing the planes path, still enough speed to jump the gap but by the second I had slowed below flying speed and in the ditch I went.  Took the nose gear off, bent the mains but we walked away.  They say if you walk away its a good landing, if you can use the plane again its a perfect landing.  We won't get into what a bad landing is.  Needless to say the cause of the prop damage was a 1/4" nut that had loossened on the exhaust bracket and hit the prop.  Took 1/2 of one blade off...  Didn't have to exercise for 3 days, maintaining the heart rate of a runner.

Lots of Fun as a learned experience to look back on, not necessarily fun at the time.  Found out later that a nyloc nut was a replacement for a steel lock nut.. Can't do that on an exhaust system... nylon melts.

Ed

Have Fun! Windstuff Ed
[ Parent ]



Re: Rpm Formula (none / 0) (#11)
by monte350c on Sat Nov 8th, 2003 at 12:59:50 PM MST
(User Info)

Hi Ed,

OUCH! Well I guess you're the level-headed type under pressure! Never had a forced landing other than the 1,000,000 times the instructor pulled the power - lots of times under the hood. It's interesting flying along on instruments, keeping your scan, and wondering why there's constant downwards altitude creep... Thankfully never the real thing - yet.

Found this kinda neat program to play around with props: http://www.mh-aerotools.de/airfoils/javaprop.htm

If you click the "The Applet" link on the left, then scroll down to near the end of the page there's directions on how to download a free copy for your PC. Alternatively you can just run it from the web page.

Depending on the various problems that are still waiting to crop up, the HAWT may actually make it onto the pole first, who knows. I liked the downwind turbine on your web site, thinking about something like that but about 12' dia. And an airfoil the same height as the blade's radius for the pole, you know, linked to the rotating head so it pivots around with the turbine and lessens the turbulence downwind of the pipe...

Ted.

[ Parent ]



Re: Rpm Formula (none / 0) (#12)
by windstuffnow (elenz(at)windstuffnow(dot)com) on Sat Nov 8th, 2003 at 01:48:20 PM MST
(User Info) http://www.windstuffnow.com/main

  Thats a slick program, althought, basically reverse of what we need for capturing power from the wind.  

Lots of fun!
Ed

Have Fun! Windstuff Ed
[ Parent ]



Rpm Formula | 12 comments (12 topical, 0 editorial)
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