Register to reply

Converting pressure to flow rate

by Phobos
Tags: converting, flow, pressure, rate
Share this thread:
Phobos
#1
Feb4-04, 03:32 PM
Emeritus
Sci Advisor
PF Gold
P: 2,021
Trying to convert differential pressure (inch WC) measurements from a 6-inch diameter pipe into an air flow rate (cfm).

Here's what I got so far...

I'm assuming laminar, imcompressible flow with negligible friction, head, or thermal losses (this is a very low-flow system). From the Bernoulli equation...

V = (2P/d)^0.5

V = velocity
P = differential pressure
d = air density @ STP

area = A = pi(r^2)

flowrate = Q = VA

Seems straightforward enough, but when I plug in my pressure readings, I'm getting too high of a result for Q (I get a result I'd expect for a fan, and not the dribbling of air I'm actually getting from the pipe).

I think I have the units converted correctly, so am I missing something in the velocity equation?
Phys.Org News Partner Science news on Phys.org
An interesting glimpse into how future state-of-the-art electronics might work
Tissue regeneration using anti-inflammatory nanomolecules
C2D2 fighting corrosion
NateTG
#2
Feb4-04, 04:07 PM
Sci Advisor
HW Helper
P: 2,537
I don't know anything about the topic at hand, but unless you're in 'not even wrong' territory (which it doesn't look like.) You should probably also post your differential pressure, and the flow rate that you got.
Phobos
#3
Feb5-04, 11:16 AM
Emeritus
Sci Advisor
PF Gold
P: 2,021
P = 0.001 inch WC (this is the resolution of my meter...which I am taking as the "detection limit"...I've been getting readings higher than that)
r = 3 inches
d = 0.075 pound/cubic foot

results
V = 126.6 ft/min
A = 0.2 ft^2
Q = 24.8 cfm (cubic feet per minute)

I would expect 24 cfm from a fan, not a pipe from which there is no discernable air flow.


or in metric...
P = 0.2486 Pa
r = 0.0762 m
d = 1.202 kg/m3
...
V = 0.643 m/s
A = 0.018 m2
Q = 0.012 m3/s (which converts to the same cfm as above)

Bystander
#4
Feb5-04, 01:58 PM
Sci Advisor
HW Helper
PF Gold
P: 1,384
Converting pressure to flow rate

"cfm" is offending your intuition --- translate to linear velocity and watch a smoke marker in the air stream.
russ_watters
#5
Feb5-04, 02:39 PM
Mentor
P: 22,288
The shorthand I use for this is sqrt(p)*4005=v. So your work checks out. I agree with Bystander - 24.8cfm isn't a whole lot. It is more than "no discernable airflow" though. Its about what a typical 80mm computer case fan gets you on medium power.


Register to reply

Related Discussions
Converting Pressure to Energy Engineering Systems & Design 25
Ppm and flow rate General Physics 4
Flow rate Introductory Physics Homework 2
Flow rate and back pressure Mechanical Engineering 2
Rate of Flow Q Introductory Physics Homework 1