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Can someone help me out with these question as im completely at a loss how to do

ID: 1827957 • Letter: C

Question

Can someone help me out with these question as im completely at a loss how to do it.


This a hydraulic A hydroelectricity plant is supplied from a reservoir via a 5km, 1.8m diameter steel pipeline with roughness of 0.045mm. The pipeline follows the ground surface which has a constant grade and drops by 10m over the length of the pipeline. The water level in the reservoir is maintained at a constant 20 m above the inlet end of the pipeline.


A surge tank, with diameter of 4.0 metres (Fs = 0.9) is positioned at the end of this 5km pipeline in order to mitigate any pressure surges due to changes in flow rate. For the purposes of modelling you may assume that varying the flow in the hydroelectricity plant has the same impact as a valve positioned immediately downstream of the surge tank. At time zero the hydro plant is stopped with zero flow in the pipeline. The turbines in the plant are enabled to ramp up to full speed slowly over a period of 100 seconds. At full speed the discharge to the turbines is 7 m3/s.


Model the flows within the pipe and surge tank using the numerical solution Technique. Use a time step of 5 seconds or smaller and account for the change in f with velocity


From your model produce plots of


a) the variation of water level in the surge chamber expressed relative to the ground level at the surge tank over time


b) the variation of velocity in the tunnel over time Plot each of these over a time of 15 minutes.


Important Hints:

- The z in the equations is the water level relative to the zero flow water level in

the surge chamber.

- A diagram will be very useful in understanding the system.

Explanation / Answer

sorry this is very hard

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