Flow rate through an obstruction

[vollmi]

I need help solving a problem involving a water washing system. I have a pipe with (48) 1/16" holes drilled around it. This pipe is inserted into a slightly larger T-Connector and sealed. the top of the connector is attach to a water hose. The water from the hose flows at approx. 10 gpm and 50 psi. I need to know the Flow rate and pressure of the water as it exits the 1/16" holes in the inner pipe.
as this is a school project i am not allowed to build a prototype to do this analysis. Please can some one help me out

 

[Navin A S]

.This is a difficult problem to solve without building a prototype due to the complexity of the system. However, you could use a Bernoulli equation to model the pressure and flow rate at various points in the system. The equation is as follows:P1 + (1/2)*ρ*v1^2 + ρ*g*h1 = P2 + (1/2)*ρ*v2^2 + ρ*g*h2 Where P1 is the pressure of the water at the outlet of the hose, v1 is the velocity of the water at the outlet of the hose, h1 is the height of the water at the outlet of the hose relative to some reference point, P2 is the pressure of the water at the outlet of the 1/16" holes, v2 is the velocity of the water at the outlet of the 1/16" holes, and h2 is the height of the water at the outlet of the 1/16" holes relative to the same reference point. You can assume the heights of each are equal and the density of the water is 1 kg/m3. Then you can use the given parameters to calculate the velocity and pressure at the outlet of the 1/16" holes. Good luck!