Mailing List flyrotary@lancaironline.net Message #39553
From: George Lendich <lendich@optusnet.com.au>
Subject: Re: [FlyRotary] Re: Area of a circle
Date: Mon, 24 Sep 2007 08:35:48 +1000
To: Rotary motors in aircraft <flyrotary@lancaironline.net>
Ed,
I agree!
But having no prior experience, it gives me something muse over at and points me in the right direction - hopefully.
George (down under)
 Yes, I've always enjoyed using math to try to get a model for what the real world is doing.  But, as I always say our Math models  are  a dumbed-down representation of the real world, so don't be surprised if you find differences between the two (:>).
 
Have fun, George.
 
Ed
----- Original Message -----
Sent: Sunday, September 23, 2007 2:47 AM
Subject: [FlyRotary] Re: Area of a circle

Ed,
I intend adding a notch to the square slide for a couple of reasons, but I don't know if either reason is valid, but I can just treat it as an add-on.
The graph seems to validate what I had done manually today - it's all very interesting isn't it!?
George (down under)
 
Ah, well, George,  if  you are using a slide throttle, then forget the spreadsheet I sent you - that was assuming a rotating plate.  In that case it will depend on the shape of your slide, if a straight plate then the area is fairly  easy to find.  I am assuming a throttle with a flat straight edge sliding plate across the throttle area.
 
Since there is no revolving throttle plate, the angle in the spreadsheet is actually the angel between the center of the circle area to the points where the sliding plate enters the throat.
 
So when the plate is fully across the opening or  closed - this angle is zero, the angle is 180 deg when the plate is half way open and 360 degree when it is fully open.
 
That's about all I can along these lines.  If the end of the sliding plate is anything other than straight (no "V" notches, etc) then this is not going to be accurate.
 
Ed
 
 ----- Original Message -----
Sent: Saturday, September 22, 2007 8:06 PM
Subject: [FlyRotary] Re: Area of a circle

Thanks Ed,
I'm looking at it - again!
Mind you I'm wanting to use a slide throttle, so the butterfly thickness and rod are not a factor in my non-venturi, straight through 44 mm dia carb design.
George
----- Original Message -----
Sent: Sunday, September 23, 2007 2:25 AM
Subject: [FlyRotary] Re: Area of a circle

I agree with Al, George. 
 
However, if you wish to enjoy the thrill of calculating that area (which is not a trivial task), here is a document that has all the information (formulas) you need.
 
 
     Now if you are willing to assume that the throttle plate  thickness and its rod are not a factor (maybe not a bad real-world assumption just to get the area of the opening - but different story regarding its effect on air flow which is why Al's suggestion is a good one), I have attached a spreadsheet with this simplification of the math.
 
Ed
 
----- Original Message -----
From: Al Gietzen
Sent: Saturday, September 22, 2007 12:06 PM
Subject: [FlyRotary] Re: Area of a circle

George;

 

Determining the area of the opening of a circular butterfly with position is certainly complex enough; but the flow is likely not directly proportional because of the complexities of the flow characteristics and pressure changes.  I would think measuring it is really the only way.  Do you have access to a flow bench?

 

Sorry; probably not very helpful,

 

Al G

 

-----Original Message-----
From: Rotary motors in aircraft [mailto:flyrotary@lancaironline.net] On Behalf Of George Lendich
Sent: Friday, September 21, 2007 9:21 PM
To: Rotary motors in aircraft
Subject: [FlyRotary] Area of a circle

 

Chaps, 

I am trying to work out the area of carb inlet as it is opened incrementally.

 

This involves the overlapped portion of two circles, as well as, a circle cut into slices ( straight cuts).

 

This should give me an indication of the linier or otherwise, volume of air as it sweeps through the carb.

 

This then should indicate the shape of the grind of the needle in maintaining continuity of the mixture ratio of fuel to air.

 

Any helpers with this one!?

George (down under)


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