Parallel pipeline flow rate

[doskdan]

Hello to everybody,

The problem is given here:

My diagram is here:

Per problem question, do we need to find Q2 and Q3 which is governed by Q1=Q2+Q3?

I am also stuck with the absence of data for viscosity and diameter. How to manage them?

Can we express the equation given in the problem in terms of heads?

Thanks

 

[ChipB]

You can determine a value for \(\displaystyle \frac {d^4}{\mu}\) from the intial data of Q, L, and \(\displaystyle \Delta p\). Then after the 2nd pipe is added you have:

\(\displaystyle Q = \frac {\pi d^4 (\Delta P_1)}{128 \mu (12.8\ Km)} = 2 \frac {\pi d^4 (\Delta P_2)}{128 \mu (19.2\ Km)}\)

Combine this with \(\displaystyle \Delta P_1 + \Delta P_2 = 34\ bar \)

and you can solve for Q.

 

[doskdan]

You can determine a value for \(\displaystyle \frac {d^4}{\mu}\) from the intial data of Q, L, and \(\displaystyle \Delta p\). Then after the 2nd pipe is added you have:

\(\displaystyle Q = \frac {\pi d^4 (\Delta P_1)}{128 \mu (12.8\ Km)} = 2 \frac {\pi d^4 (\Delta P_2)}{128 \mu (19.2\ Km)}\)

Combine this with \(\displaystyle \Delta P_1 + \Delta P_2 = 34\ bar \)

and you can solve for Q.

Thanks a lot for your help.