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
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