PO6009 Advanced Fluid Mechanics 51 Lecture hours 1 Lectures 2 ...

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Course number
:

PO6009

Course title
:

Advanced Fluid Mechanics

Degree course / Non
-
degree course
:

Degree course

Schedule:


Spring,
Autumn

Course hours
:



51 Lecture

hours


Credits:

3

Language of instruction

Chinese / English

Form of teaching:

1 Lectures

2 Classroom exercise and discussion


3 Class demo
n
stration


Students’ learning style


1 Team discussion

2 Homework assignments(14 in a semester)

3 Final student presentations
and evaluation
by the other students


Prerequisites / Corequisites:

Material Mechanics, Advanced Maths, Thermodynamics, Heat Transfer


Teacher:


Yongwen Liu


General course objectives / course profile



Advanced Fluid Mechanics is one of the major courses for graduate students in the study of the
flow of fluids. The course focuses on the internal flow in equipment, such as pipes, power
machinery, fluid machinery and vessels, etc. The relative reactions be
tween fluids and
equipment will also be discussed in the course. The focus of the course is a central theme of
modern applied mathematics. Based on mathematical concepts of gradient, divergence,
vorticity and tensor, the basic properties normally ascribed
to fluids such as density,
compressibility and dynamic viscosity will be introduced. Then general equations, including
continuous equation, momentum equation and energy equation are derived. In general, the
motion of fluids is extremely complicated, includ
ing highly nonlinear phenomena like
turbulence, and cannot be described exactly. Therefore the course is used to model a vast
range of physical phenomena and plays a vital role in science and engineering.




Learning outcomes:



The

focus

of

the course

is

to solve problems in industry.

The

course

is

int
ended to
provide students with the following benefits:

(1)

Understanding the concept of fluid and the models of fluids

(2)

Understanding the basic physical meaning of general equations

(3)

Understanding the concept of

stream function
and potential function

(4)

Ability to derive the equation for viscous flow, including laminar flow and turbulent
flow

(5)

Ability to address such problems in engineering, and to solve the problems

(6)

Ability to cooperate with the team members


Content




Lectures

quiz

report

1

Mathematical techniques (gradient, diversity, vorticity,
calculus, tensor)

3



2

Curvilinear coordinate system, fluid concepts, continuum
model

3

v

v

3

Basic qualities of fluid, density, viscosity, compressibility,
etc.

3

v


4

Fluid kinetics, including study viewpoints, continuity equation

3

v


5

Steam function, potential function and the solutions

3

v


6

Forces on fluid particles, stress tensor, derivation of NS
equations

3

v


7

2D & 3D ideal fluid flow

3

v


8

Complex potential functions, Residual Theorem

3

v


9

Kolakowski transform, non
-
inertia coordinate

3

v


10

Introduction of compressible flow, supersonic flow, method of
characteristics, non
-
inertial coordinates

3

v


11

Mid
-
term exam

2



12

Laminar flow
and its description

3

v


13

Basic solution of simple flows

3

v


14

Conceptions of turbulent flow, turbulent flow equations

3

v


15

Turbulent models

3

v


16

Boundary layer theory, Solutions of Boundary layer equations

3

v


17

Turbulent boundary layer

3

v



Final exam

3


v


T
he

course

has

been

designed

with
3

hours

of

lecture
time and about 1 hour for discussion per

week.

It

is

expected

that

each

student

will

prepare

for

and

attend

all

of

the

class sessions and
will regularly enhance class discussion
s
.

The homework can be finished as a team work, and each
student in a team is expected to attend the discussion and express his or her viewpoint.

.



Assessment Methods


Course activities are weighted in the following way:


1

Attendance and individual
behavior

10%

2

quiz

10


3

Team homework

20


4

report

10


5

Mid
-
term exam

20


6

Final exam

30



Class attendance
and individual behavior

Attendance of students in class includes performance, discussion, in
-
class exercises and
presentation. Class
participation will be determined on the basis of your comments in each
class session, and your completion of the exercise sheets handed in at the end of the lectures.

Team homework assignment

Homework is assigned and turned in every week. The due day is th
e following week. Homework
will be collected at the beginning of the class. To be fair to all students, late homework is given
20% penalty. Late homework after two weeks is not accepted.

All of the homework can be finished as team work. Individual homewor
k is acceptable. Each
student is expected to join in the discussion for each assignment.

Quiz

Before the start of a lecture, a quiz will be held to examine the previous class contents. No
make
-
up quiz is allowed.

Mid
-
term exam


In the 10
th

week, the mid
-
term exam will be held to check the half term’s study. It is a closed
book exam. No make
-
up mid
-
term exam is allowed.

Final Exam

The final exam is an open
-
book exam. No make
-
up final exam is allowed.


Honesty Policy

All persons involved in cheating will
get a fail for the course.

However, the homework or other assignments are encouraged to be done in a group
environment with discussions and exchange of ideas, as long as understanding is achieved,
rather than simply copying.



Teaching materials and
reference books:


Textbook

ISBN number:



0073529265
a

Name of book:




Fluid Mechanics

Fundamentals and Applications

Author:

Y. Cengel & J. M. Cimbala

a

Publisher :


McGraw
-
Hill

a

Version:
2
nd

Edition

a


Other
readings

费祥麟主编,高等流体力学,西安交通大学出版社

王献孚、熊鳌魁编著,高等流体力学,华中科技大学出版社

清华大学工程力学系编,流体力学基础

吴望一,流体力学(上下册)