Course number:
Course title:
PO6009
Advanced Fluid Mechanics
Degree course / Non-degree course:
Degree course
Course hours:
Credits:
3
51 Lecture hours
Schedule:
Spring, Autumn
Language of instruction
Chinese / English
Form of teaching:
Students’ learning style
1 Lectures
2 Classroom exercise and discussion
1 Team discussion
3 Class demonstration
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 between 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, including 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 intended 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
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
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
The 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 discussions. 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 the 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 homework 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 10th 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:
Name of book:
Author:
Publisher :
Version:
0073529265 a
Fluid Mechanics：Fundamentals and Applications
Y. Cengel & J. M. Cimbala a
McGraw-Hill a
2nd 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）