- #1
Anachronist
Gold Member
- 117
- 47
- TL;DR Summary
- One pressure vessel has 6 holes from which air escapes, another has 8 holes, total open area of the holes is same on each vessel. Should the volume flow be the same?
I know the Bernoulli equation for calculating the air velocity through a pressurized hole, but I am wondering if one hole of a given area behaves the same as multiple holes with the same total area. The Bernoulli equation doesn't make a distinction.
Background: As a personal 3D design and printing project I designed a siren whistle patterned after a Francis turbine, in which a dual runner (two runners back to back) chops the air coming out of exit holes on each side. The number of blades on each side of the runner is different (6 and 8) with a corresponding number of exit holes. As the runner rotates, the turbine produces two tones, with the airflow interrupted 6 times per rotation on one side, and 8 times per rotation on the other. The holes on each side have the same total open area.
The device works pretty well, but if I cover the holes on one side or the other, to allow only one side of the runner to drive its rotation, the rotation speed is clearly different for the same input pressure (by my best guess by breathing into it). It's slower when air exits only the 6-hole side.
That made me wonder if several small holes behave differently than fewer holes with the same open area.
Hmm, as I write this, I realize the difference could also be due to the different number of blades. The side with the higher number has a higher surface area on which the air can impart force.
Background: As a personal 3D design and printing project I designed a siren whistle patterned after a Francis turbine, in which a dual runner (two runners back to back) chops the air coming out of exit holes on each side. The number of blades on each side of the runner is different (6 and 8) with a corresponding number of exit holes. As the runner rotates, the turbine produces two tones, with the airflow interrupted 6 times per rotation on one side, and 8 times per rotation on the other. The holes on each side have the same total open area.
The device works pretty well, but if I cover the holes on one side or the other, to allow only one side of the runner to drive its rotation, the rotation speed is clearly different for the same input pressure (by my best guess by breathing into it). It's slower when air exits only the 6-hole side.
That made me wonder if several small holes behave differently than fewer holes with the same open area.
Hmm, as I write this, I realize the difference could also be due to the different number of blades. The side with the higher number has a higher surface area on which the air can impart force.