Fluid Mechanis - Pipe Flow Velocity

[360modina]

Homework Statement

I'm looking for a formula that has velocity at a certain point in a pipe. I only have velocity and pipe diameter.

The problem goes something like:

A Tube with a 0.075 meter diameter has four drains equally spaced apart
with a cap at the far end. Each of the four drain opening has a flow of
15 L/s.

I need to find the average Vs in the tube between each of the drains, I marked them as 1, 2, and 3. If the flow is laminar, what are the max velocities at 1, 2, and 3? List assumptions needed for solving.

Homework Equations

I'm still missing a relevant formula...

The Attempt at a Solution

To start of I think that three boundary systems would need to be used:
System 1:
Inlet
Drain 1
Location 1

System 2:
Drain 2
Location 2

System 3:
Drain 3
Location 3
Drain 4

 

[360modina]

I worked on the problem a bit more:

I found the pipe area

A= 0.785 * Diameter²
=4415.625mm²

and Q or liquid flow rate = Rho * V * Area

so in order for the first velocity at the drain to be 15l/s, the Q must be at least 66.27 l/s

I'm still pretty stuck though and not sure if I'm going in the right direction

 

[burningbend]

to find the entrance flow rate you have to do continuity, so pVa=4(pVa)