Calculate reynolds number for the process

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Reference no: EM13835857

1. The diagram shown below represents a process for which a pump and associated pipe work require to be correctly sized.

2394_Calculate the head required for the pump.png

The liquid is to be pumped from the underground storage vessel which is vented to atmosphere (assume 1 bar pressure) to a pressurised container supported some distance above ground level. The pump is sited at ground level and must be capable of delivering 0.01 m3 s-1 with a maximum velocity of 1.8 ms-1

Data:

Liquid density, Ρ = 960 kg m-3

Liquid viscosity, μ = 0.081 Pa s

(a) Calculate the theoretical diameter of the pipe; the nominal pipe diameter chosen from the table; and the actual average velocity in the nominal pipe.

Inside diameter (mm)

20

25

32

40

50

65

80

90

100

(b) Calculate Reynolds number for the process and hence the head loss due to friction. State any assumptions made.

(c) Using the following table for minor head losses, calculate the minor head losses for the system using both the equivalent length method and the number of velocity heads method. Compare the head losses estimated by each method.

Fitting

Equivalent length as number
of pipe diameters

Number of velocity
heads lost

Standard 90) bend

37

075

Entry to pipe

15

03

Exit front pipe

50

1

(d) Calculate the head required for the pump and its power requirement assuming a 70% efficiency.

(e) If the same pump was later used to pump water from the lower reservoir to the upper reservoir, what flow rate of liquid could be achieved? (N.B.This may require an iterative solution).

State any assumptions made.

Water density, Ρ = 1000 kg m-3

Water viscosity, μ = 0.001 Pas

Reference no: EM13835857

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