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A butterfly mechanism, offers variable restriction in a pipe, but how much

 

Can any one tell me a formula a for calculating the amount of restriction offered by the butterfly at a set angle, 90 degrees being fully open therefore a theoretical nil restriction and 0 degrees being theoretically closed maximum restriction. I would like to relate the data to an equivalent fixed restriction i.e. a ring of smaller diameter than the pipe. I am no good at fluid or aerodynamics just need a formula to stick in a spread sheet.

 

Just an idea brewing.

 

:cool:

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I don't know if this is any help, but I remember the formula for laminar fluid flow.

 

Flow rate = pressure * pi * radius to fourth power divided by 8 * viscosity of fluid * length

 

This is known as the Hagen-Poiseuille law

 

 

It would follow that changing the radius of the pipe or the angle of the restrictor will significantly affect the rate of flow because it is proportional to the fourth power.

 

Hope that is useful.

 

(Also hope you guys aren't going to have a go at me for being a nerd and remembering that from school. My physics teacher would be proud!) :stupid:

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Originally posted by Mark D

...I remember the formula for laminar fluid flow.

 

Flow rate = pressure * pi * radius to fourth power divided by 8 * viscosity of fluid * length

 

This is known as the Hagen-Poiseuille law

 

 

It would follow that changing the radius of the pipe or the angle of the restrictor will significantly affect the rate of flow because it is proportional to the fourth power.

 

:eek:

 

Respect!

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Right;

 

I'm assuming this is for gas flow not liquid. I've found the equations you need and they're bloody complicated, I understand them but not well enough to explain them to someone with no experience of fluid dynamics (not wishing to be patronising or Mycroftian here, but I'm guessing that's you!).

 

To get really accurate figures, I'd need lots of information about the pressure difference across the valve, the flow rate through it in metres cubed, and the absolute temperature of the gas going through it. ie things which are pretty difficult to measure without a fair bit of gear.

 

However, if you give me the diameter of the butterfly in mm I can do you a table of opening angle vs percentage of max flow rate, based on lots of assumptions etc which should be accurate to within 15% or so.

 

If you want accurate figures, you're going to have to invest in manometers, temp probes, a hotwire flow meter, all sorts of crap!

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Thanks guys I knew I could rely on you.

 

Adam I don’t have any of the crap to which you refer. I will mail you off list some time with details. You are right we are talking about, a gas flow not liquid. Temp will be variable in the range 600 to 900 centigrade. My experience of fluid dynamic is fairly extensive but in a very specific field associated with the consumption of alcohol, not much use here I fear. I don’t need mega accuracy I just want some rough idea of potential flow rates for a given angle. It is my limited understanding that the change in restriction will be fairly limited as the plane of the butterfly moves from a position parallel to the flow. The most significant flow change per degree of turn will be towards the closed position or approaching 90 degrees to the flow.

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Originally posted by Adam Wootten

Right;

 

I'm assuming this is for gas flow not liquid. I've found the equations you need and they're bloody complicated, I understand them but not well enough to explain them to someone with no experience of fluid dynamics (not wishing to be patronising or Mycroftian here, but I'm guessing that's you!).

 

To get really accurate figures, I'd need lots of information about the pressure difference across the valve, the flow rate through it in metres cubed, and the absolute temperature of the gas going through it. ie things which are pretty difficult to measure without a fair bit of gear.

 

However, if you give me the diameter of the butterfly in mm I can do you a table of opening angle vs percentage of max flow rate, based on lots of assumptions etc which should be accurate to within 15% or so.

 

If you want accurate figures, you're going to have to invest in manometers, temp probes, a hotwire flow meter, all sorts of crap!

 

Brainiac:stupid:

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