Department of Chemical Engineering

donutsclubMechanics

Oct 24, 2013 (3 years and 9 months ago)

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Fluid Mechanics
-

OKM 2013

2

Lecture 0: Introduction

Objective



To introduce the 3
rd

year course and look back at 2
nd

year
Fluid Mechanics course.


Contents



Course objectives


Course outline


Course materials, teaching and learning methods


Assessment methods


Pre
-
requisites from the 2
nd

year course

Fluid Mechanics
-

OKM 2013

3

Course objectives


To

introduce

the

concept

of

streamfunction
,

vorticity
,

and

potential
.


To

solve

problems

in

Stokes

(slow)

and

potential

(fast)

flows
.


To

introduce

concepts

in

two
-
phase

flows
.


To

solve

problems

in

two
-
phase

flows
.



To

introduce

rheological

models

for

non
-
Newtonian

fluids
.


To

solve

flow

problems

involving

non
-
Newtonian

fluids
.



To

introduce

the

concepts

of

flow

instability

and

models

for

turbulence
.


To

solve

problems

involving

turbulent

flows
.

1.
Streamfunctions, vorticity, and potential

(1 lecture)

2.
Stokes and potential flow



(1 lecture)

3.
Two
-
phase flows




(3 lectures)

4.
Non
-
Newtonian fluids: Rheology


(1 lecture)

5.
Non
-
Newtonian flow: Example problems

(1 lectures)

6.
Turbulence: Reynolds
-
averaging and the ‘closure’ problem







(1 lecture)

7.
Turbulence: ‘Mixing length’ theory

(1 lectures)

8.
Turbulence: Example problems


(1 lecture)

Fluid Mechanics
-

OKM 2013

4

Course outline

Fluid Mechanics
-

OKM 2013

5

Course materials, Teaching

and Learning Methods

Course

materials


Problem

sheets
:



available

on

Blackboard
;

problems

discussed

during

lectures
.


Notes
:



can

be

downloaded

from

Blackboard
.

Teaching

and

learning

methods


Lectures:



10

2
-
hour lectures, every Friday in the Spring Term.


Private study:


Working on problem sheets
.


Reading course notes and text books.


Revising for test and exams.


Tutorials:


Discussion of lectures and
problem sheets
run by PGs.

Fluid Mechanics
-

OKM 2013

6

Assessment Methods

Problem sheets


7 sheets (3 of them are for a revision of FM2) with questions to
review your own progress.


Exam


Transfer Processes III (3 hours)


shared with Particle Engineering
and Separation Processes II.


Fluid Mechanics
-

OKM 2013

7

Textbooks

No

textbook

is

required

for

this

course

but

one

may

be

helpful
.


Recommend

list
:


Richardson

(yes,

that

Richardson!),

Fluid

Mechanics,

Hemisphere
.


Wilkes,

Fluid

Mechanics

for

Chemical

Engineers,

Prentice
-
Hall


Denn,

Process

Fluid

Mechanics,

Prentice
-
Hall
.


Massey,

Mechanics

of

Fluids,

van

Nostrand
.


Fox

&

McDonald,

Introduction

to

Fluid

Mechanics,

Wiley
.


Streeter

&

Wylie,

Fluid

Mechanics,

McGraw
-
Hill
.


Available from the Library. Try to find one that helps you.

Consult me should you decide to buy one.

Fluid Mechanics
-

OKM 2013

8

Pre
-
requisites from the 2
nd

year course



Derivation of Navier
-
Stokes

(NS) equations using vector calculus
and the divergence theorem: see FM2 lecture notes.



Solution of the NS equations for
unidirectional flows
: see problem
sheet 1.



How to make the NS
dimensionless
, what is Re for some example
flows: see problem sheet 2.



Self
-
similar solutions

of the NS equations, using the product and
chain rule of differentiation, and separation of variables: see problem
sheet 3.

See ‘Revision of FM2’ notes on BB and
basic FM equations