How to determine the minor loss for this system?

[nebousuke]

Hi, it's me again. I've attached the diagram of the system which its minor loss is needed to be determined. Cross section profile 1 is named "cross 1" and cross section profile 2 is named "cross 2" in the given links.

I stumbled yet another hurdle as I've never worked on two opposing flow converges at a given point. I've been through some of the books but I only encounter single direction flow only. The medium of the fluid is air by the way. Any thoughts? thanks.

Cross 1

Cross 2

EDIT: I noticed that there is some contraction element in the junction and ultimately caused the variation in velocity between two sections. If I analyze it as though a tee branch flow, what would be the velocity that I should assumed in determining the minor head loss.

H=K*V^2/2g

 

[Navin A S]

For the above equation, you will need to determine the velocity of the flow at the junction. This can be done by using the continuity equation, which states that the mass flow rate (the product of density and velocity) must be equal throughout the system. Therefore, in this case, since you are looking at two separate flows converging at a junction, you would need to calculate the mass flow rate of each of the two flows separately and then equate them. From this equation, you can then solve for the velocity at the junction. Once you have the velocity at the junction, you can then plug this into the head loss equation to calculate the minor head loss.