fluids

fluif.docx

Figure below shows a piping system in which a pump delivers a certain amount of water (Q) at 25 °C from a low- level reservoir to two high-level reservoirs. The same pipe of diameter 6 in and roughness 0.046 mm is used throughout the piping system. Valves 1 and 2 are fully open flanged globe. As depicted, there are four 90° regular flanged elbows in the system. The pipe length from reservoir 1 to the junction, J, is 50 m. The water is split into two directions at the junction. The pipe length from J to reservoir 2 is 100 m, whereas it is 200 m from J to reservoir 3. Assume that the level of reservoir 3 is the same as that of reservoir 2 (z3 = z2), and that of junction is negligible. The pressure at the free surfaces is atmospheric.

Your task is to pick a value for the water flow rate, Q, from the range 50-300 m3/hr, and

(a) Determine the water flow rate in each pipe section after the junction; 

(b) Find the gage pressure at the junction;

 (c) Determine the pump power, pump efficiency, and shaft rotation speed. The pump is to be purchased from a company which manufactures pumps of similar shapes. The pump efficiency η and head hp [ft] are related to the flow rate Q [ft3/s], the rotation rate of the pump shaft N [rad/s], and the impeller diameter D [ft] as

Assume an impeller diameter of 3 ft; 

(d) Plot the pump power, in kW, versus the water flow rate to be delivered by the pump. Vary the flow rate from 0.01 to 0.08 m3/s.

Parts (a)&(b)

Please provide a step-by-step problem formulation. This should include energy equation, conservation of mass, equation to calculate friction factor, local losses. You are also required to provide your code (e.g. EES) at the end of this report.

After describing the detailed equations, please indicate what value you have chosen for the flow rate, Q, and the results obtained for part (a) and part (b).

Part (c)

Similar to Parts (a)&(b), please describe what equations, in addition to two equations given by the manufacture, should be used to find the pump power, pump efficiency, and shaft rotation speed.

Please provide the values found for the above mentioned parameters.

Part (d)

Please provide a graph illustrating the variation of the pump power versus the flow rate.

* The project report needs to be typed and as a DOC/PDF  