Question

Water will be pumped from a reservoir free surface of which is at an elevation of “z1” to reservoir the free water surface of which is at “z2”. Both of the reservoirs’ free surfaces at atmospheric pressures.Design a piping system that transmits water from the lower reservoir to the upper reservoir at a volumetric flow rate of Q (m3 /h).

Q = 200 (m3/h) Za = 10(m) Zb= 60 (m) Zc = 75 (m) L1=200 (m) L2=125 (m) "Pipe material is "Commercial Stainless Steel" "

1) Consider necesssary fittings( valves, elbows….)

2) Given data and cost elements, determine the optimum pipe diameter of the system . In order to do this:

3) Write the energy equation between z1 and z2 by taking the major losses associated with the pipe, minor losses associated with the fittings, sudden contraction, and expansion regions inside the system and the pump total head rise ”hp” into account .

4) The average velocity of the water inside your piping system should be between 0.1 and 5 m/s. 5) Calculate the head rise “hp” that must be provided by the pump.

6) Choose a pump that provides a head rise of ”hp” (that you calculated) near its most efficient working flow rate at your given flowrate Q from the local manufacturer’s catalogues.

7) Find the cost of the pipe per one meter (TL/m) and unit electricity price ( TL/kWh). Neglect cost of the pump or pumps.

8) Calculate the cost of the system for one year: Obtain the graph which shows the variation of the capital cost, the energy cost and the total cost in function of the pipe diameter for working of the pump at a rate of 24 hours/day for one year.

9) If head loss from reservoir to pump inlet is 0.8 m, where should the pump inlet be placed to avoid cavitation for water at 15°C, pv= 1.71 kPa absolute?.

10)Check the absolute pressure at point C.

11) Draw a schematic representation of the system.

12) Give necessary technical drawings of the pipe and give schematic representations of the chosen minor loss elements.

13) Give the performance characteristics chart of the chosen pump and the technical drawing of it.

Answer 1

for 200 m3/hr @ 93 MWC

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