# Air flow in tube with smaller perforated holes balance

Given: I have a $1.5$ diameter tube that I'm pushing air through that has perforated holes along its length, and the far end is closed. Air leaves 10 perforated holes to atmosphere. Temperature is $20^o C$ constant. Initial $P$ is $200\ mm$ Hg, flow rate is $0.0024\ m^3/min$. I'm right at RE ~ transition. Change in $z = 0$.

Question: I'm trying to size the 10 holes so that the air velocity leaving the tube sides is constant varying the hole diameter -- to balance the tube. At the first junction I have $P_1$, $P_2$, and $P_{exit}$. I have $V_1$, but not $V_2$ and $V_{exit}$. If I use the Bernoulli equation $P_{exit}$ goes to $0$. Not sure how to solve this.

-