Fluid flow through branched nozzles

[Marki john]

I wanted to know if the flow rate and velocity would stay constant or change in nozzles 1,2 and 3 in a incompressible fluid flow through a rectangular duct. (Illustrated image in attachment).

Aim is to have he same amount of fluid flowing out of each of the nozzles.

Would the flow rate be;

Qin = Q1 + Q2 + Q3
Or
Qin = Q1 = Q2 = Q3

Same with the velocity;

Vin = V1 + V2 + V3
Or
Vin = V1 = V2 = V3

It would be great if someone could help me with this.

 

[BvU]

Hello Marki john,
I get the impression this is homework; could you please post there ? The advantage is that you get a template thrown in asking for relevant equations. It also asks for your attempt at solution. Both help us guide you towards being able to answer all by yourself (much better than having the exercise wasted by getting the answer on a silver platter). So: what do you think ? (and no, I'm not a shrink, just a physicist).

You must have heard of conservation of mass, Which of the two flow relationships violates that ?
And: v and Q are related very closely. Do you have an idea how ?