From:
TOListserver@theatreorgans.com on behalf of ASeflPipes@aol.com

Sent:
Friday, May 23, 2003 4:58 PM

To:
Theatreorgans-L List Member

Subject:
[Theatreorgans-L] CFM Orifice

In a
message dated 5/20/03 11:35:10 AM Pacific Daylight Time,

Dixleis@theatreorgans.com
writes:

<<
Can any of you engineers help me with the following information. I am

>sizing
a blower for an European dance organ and need to know the size

>orifice
that will pass 600 CFM at 10.5" W.P?
I suspect the relationship

>is
linear, so if you can furnish me with CFM flow through various size

>orifices
at 10.5"W.P., it would be most appreciated. I can the plot it

>out
on a graph and fill in the intermediate sizes. As the measurement

>of
CFM is not real easy, I suspect in most cases this figure is

>calculated
from orfice and static pressure.

>Dick
Leis in Florida

>>

Greetings
Dick:

How
about if I furnish you with math "back of the envelope"
examples. You

don't
say whether the orifice is a free standing plate, a linear pipe, or what.

It does
make a difference. If the orifice is on
a blower plate of thin metal

then
the "vena contracta" effect really comes into play whereby the air

self-limits
its own flow as it tries to squeeze into the opening and flow through.

Pressure
roughly converts to flow speed (velocity) under most circumstances.

The
formula is Velocity in feet per second is equal to 66 times the square

root of
Pressure in Water Column Inches. Thus,
3"WC will give you a 114 feet

per
second flow into free air. 114 fps = 66
* (3)^.5 To convert to feet per

minute
flow you would need to multiply by 60 seconds for 6480 feet per minute.

Assuming
a 4" diameter orifice of a cross sectional area of A = pi*r^2 then

with
12.56 square inches or 0.087 square feet you get what is called a blast

area. Now the problem comes in that the orifice
can restrict flow ranging from

a
coefficient of discharge of 0.60 to 0.94 depending on how the flow is

funneled
into the orifice. A thin metal plate
with sharp edges will give you the

0.60
times the 0.087square feet blast area for an *effective* orifice of 0.052

square
feet. Multiplying the effective orifice
of 0.052 square feet times the

flow of
6480 feet per second and you have about 337 cubic feet per minute at

3"WC.

Taking
your figure of 10.5"WC then V = 66*(10.5)^.5 = roughly 214 fps.

214 fps
times 60 seconds gives 12,840 feet per minute.

Using a
4" diameter opening you get (12.57"^2/144"^2) or 0.087 square
feet.

Multiplying
0.087 square feet times the 0.60 factor gives an effective

orifice
of 0.052 square feet.

0.052
square feet times 12,840 fps will give you a delivery of 668 cubic feet

minute.

Thus, a
4" diameter thin plate orifice will allow you the 600 cubic feet per

minute
at 10.5"WC that you were seeking and give you about 10% more flow for

fudge
factor.

Hope
that helps,

Al Sefl

A guy
known for his wind...

PS: Air flow is also temperature sensitive since
air viscosity is directly

effected. The above is calculated in the mid 60s
Fahrenheit.

--Theatreorgans-L----------------------------------------------------

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