Calculating mass flow rate while assuming shock losses

  • #1
Taylor0304
1
0
Below is a 2 part question regarding gravitational pipe flow, I have managed to do Q1) and have got an answer of 144 kg/s. However Q2 asks that shock losses be considered, Although I know how to calculate the shock pressure loss I am unsure of how to apply this to my calculation to get a new mass flow rate value, an explanation would be great, thanks.

1. Homework Statement


Q1) Water flows through a pipe from one reservoir to a lower reservoir. The difference in height of the water levels in the reservoirs is 1.5m. The pipe is 0.5km long with a constant internal diameter of 400mm. It has a surface roughness of 0.20mm. Determine the mass flow rate of water. You may assume negligible shock losses. You will need to iterate to find a solution.

Q2) Repeat Q1 but allow for shock losses in the pipe. Assume that total shock losses (pipe
inlet, outlet and all pipe connections and valves) are equal to 5 times the velocity pressure
in the pipe.

Homework Equations



Bernoulli equation
Darcy equation

The Attempt at a Solution


I believe the change in pressure is 3270pa but I'm not sure how to apply this to get a new mass flow rate value.

rho/2 x C^2 = 1000/2 x 1.144^2 = 654
654 x 5 = 3270Pa
 

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