### 2020　Practical Fluid Mechanics

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Academic unit or major
Undergraduate major in Mechanical Engineering
Instructor(s)
Aoki Takayuki  Tanahashi Mamoru  Xiao Feng  Shimura Masayasu  Minamoto Yuki
Class Format
Lecture / Exercise    (ZOOM)
Media-enhanced courses
Day/Period(Room No.)
Mon5-8(W241,W242)
Group
-
Course number
MEC.F211
Credits
2
Academic year
2020
Offered quarter
4Q
Syllabus updated
2020/12/7
Lecture notes updated
-
Language used
Japanese
Access Index

### Course description and aims

This course focuses on basic concepts of viscous flow and its applications. Topics include fundamentals of viscous fluid, Navier-Stokes equations, Reynolds number, exact solutions of Navier-Stokes equations for parallel flows such as Couette-Poiseuille flow and Hagen-Poiseuille flow, Stokes's approximation, Oseen's approximation, boundary layer, Compressible flows. By combining lectures and exercises, the course enables students to understand and acquire the fundamentals of viscous fluid which are important for developments of real applications in mechanical engineering.

Fluid mechanics is one of the most important basic science in mechanical engineering. Following to ‘Fundamentals of Fluid Mechanics’, this lecture focuses on viscous fluids which appears in real worlds. By combining lectures and exercises, the course enables students to understand and acquire the fundamentals of viscous flow.

### Student learning outcomes

By the end of this course, students will be able to:
1) Understand and derive governing equations of viscous fluid.
2) Acquire exact solutions of Navier-Stokes equations for several parallel flows.
3) Explain basic aspects of boundary layer
4) Explain Stokes's and Oseen's approximations
5) Explain friction and pressure drag forces and lift force.
6) Explain basic aspects of compressible flows

### Keywords

Viscous fluid, Navier-Stokes equations, Reynolds number, Parallel flows, Couette-Poiseuille flow, Hagen-Poiseuille flow, Boundary layer, Stokes's approximation, Oseen's approximation, Drad force and Lift force, Compressible flows

### Competencies that will be developed

 ✔ Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

### Class flow

The course is taught in lecture style. Exercise problems will be assigned every 2 or 3 classes. Required learning should be completed outside of the classroom for preparation and review purposes.

### Course schedule/Required learning

Course schedule Required learning
Class 1 Viscosity, Strain tensor, Rate of deformation Understand basic concept of viscous fluid and characteristics of strain tensor and rate of deformation
Class 2 Navier-Stokes equations, Couette flow, Reynolds number Derive Navier-Stokes equations and understand basics of Couette flow and Reynolds number
Class 3 Parallel flow, Couette-Poiseuille flow, Hagen--Poiseuille flow Understand several parallel flows as exact solutions of Navier-Stokes equations
Class 4 Rayleigh's problem and flows induced by oscillating walls Understand exact solutions of Navier-Stokes equations for flows induced by oscillating walls
Class 5 Concept of boundary layer, Prandtl's boundary layer equation Understand concept of boundary layer and derive boundary layer equation
Class 6 Blasius solution of boundary layer equation Understand Blasius solution of boundary layer equation
Class 7 Numerical solution of boundary layer equation Obtain numerical solution of boundary layer equation
Class 8 Momentum-integral equation of boundary layer and separation of boundary layer Understand Momentum-integral equation of boundary layer and separation of boundary layer
Class 9 Stokes's approximation Understand Stokes's approximation of Navier-Stokes equations
Class 10 Oseen's approximation Understand Oseen's approximation of Navier-Stokes equations
Class 11 Drag force and lift force Understand drag force and lift force
Class 12 Compressible flow and Mach number Understand compressible flows with Mach number
Class 13 Thermodynamic property, isentropic flow Understand isentropic compressible flow with thermodynamic properties
Class 14 Supersonic flow and shock wave Understand shock waves

### Out-of-Class Study Time (Preparation and Review)

To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.

### Textbook(s)

M. Hino, Fluid Mechanics, Tokyo: Asakura: ISBN: 4-254-20066-8 C305

### Reference books, course materials, etc.

I. Imai, Fluid Mechnaics(first part), Tokyo: Shoukabou ISBN: 4-7853-2314-0

### Assessment criteria and methods

Students' knowledge of visous fluid and compressible flows, and applications will be assessed.
For year 2020, evaluation will solely base on submissions of the reports and exercise problems as requested by lecturers.

### Related courses

• Advanced Fluid Mechanics

### Prerequisites (i.e., required knowledge, skills, courses, etc.)

Partial Differential Equations (MEC.B213.A), Vector Analysis (MEC.B214.A), Fundamenals of Fluid Mechanics (MEC.F201.R)