Fluid Dynamics Assignment

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MODULE TITLE : FLUID MECHANICS

TOPIC TITLE : FLUID DYNAMICS

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FM - 2 - TMA (v1.2)

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Published by Teesside University Open Learning (Engineering)

School of Science & Engineering

Teesside University

Tees Valley, UK

TS1 3BA

+44 (0)1642 342740

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IMPORTANT

Before you start please read the following instructions carefully.

1. This assignment forms part of the formal assessment for this module. If

you fail to reach the required standard for the assignment then you will be

allowed to resubmit but a resubmission will only be eligible for a Pass

grade, not a Merit or Distinction.

You should therefore not submit the assignment until you are reasonably

sure that you have completed it successfully. Seek your tutor's advice if

unsure.

2. Ensure that you indicate the number of the question you are answering.

3. Make a copy of your answers before submitting the assignment.

4. Complete all details on the front page of this TMA and return it with

the completed assignment including supporting calculations where

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5. Your tutor’s comments on the assignment will be posted on Blackboard.

Teesside University Open Learning (Engineering)

1. The diagram shown below represents a process for which a pump and

associated pipe work require to be correctly sized.

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 m s–1.

Data:

Liquid density, ρ = 960 kg m–3

Liquid viscosity, µ = 0.081 Pa s

200 kPa absolute

1 m pipe length

6 m

15 m

5 m2 m

3 m pipe length

1 m

Vent

Teesside University Open Learning (Engineering)

(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.

(b) Calculate Reynolds number for the process and hence the head loss

due to friction. State any assumptions made.

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.

(d) Calculate the head required for the pump and its power requirement

assuming a 70% efficiency.

Fitting

Standard 90° bend Entry to pipe

Exit from pipe

Equivalent length as number of pipe diameters

Number of velocity heads lost

0.75

0.3

Inside diameter (mm)

100

Teesside University Open Learning (Engineering)

(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 Pa s

Teesside University Open Learning (Engineering)

Question No.

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