This course focuses on fluid motion, theories of which need to be extended from the mathematical expressions founded on solid-state physics. Through this series of lectures and exercises, students will learn the most fundamental and important mathematical or experimental expressions in the field of fluid dynamics, including equations of motion for fluids and their derivations, definitions of laminar and turbulent flows, and practical formulas for pipelines or open channels. The present course is comprised of 3 parts in order to effectively include all the essences in a single course of lectures. It begins with Part 1 (the 1st to 6th class) which teaches theories of perfect fluids, followed by Part 2 (7th to 11th) covering theories for viscous fluid and Part 3 (12th to 15th) dealing with practical fluid problems and their solution using the formulas derived.
By the end of this course, students will be able to understand:
1) Dynamics, force and energy of fluids and their expressions in physics
2) Distinctive properties of fluids such as compressivity and viscosity
3) Regimes in fluids, laminar and turbulent flows, and their theories and experimental expressions
4) Fluid motions in pipe or open channels and their theories and experimental expressions
perfect fluid, viscous fluid, laminar flow, turbulent flow, equation of continuity, Euler equations of motion, Navier-Stokes equations, Bernoulli's principle, pipe flow
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
Towards the end of class, students are given exercise problems to solve related to the lecture given that day. To prepare for classes, students should read the course schedule section and check what topics will be covered. Required learning should be completed outside of the classroom for preparation and review purposes.
Course schedule | Required learning | |
---|---|---|
Class 1 | Engineering applications of fluid dynamics, various properties of fluids | Fluid properties such as compressibity and viscosity, hydrostatic pressure |
Class 2 | Equation of continuity, Euler equations of motion | Formularisations of motions in perfect fluids |
Class 3 | Potential flow | Ideas and formularisations of potential flow, application of conformal mapping to fluid problems |
Class 4 | Bernoulli's principle | Derivation of Bernoulli's principle, application to apparatuses such as pitot tube, Venturi tube, and siphon |
Class 5 | Potential flow and Bernoulli's principle | Derivation of a water wave theory, as an application of fluid dynamics for perfect flow |
Class 6 | Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 1–5. | Test level of understanding and self-evaluate achievement for classes 1–5. |
Class 7 | Conservation of mass and energy (review), conservation of momentum | Conservation laws in Fluid Dynamics (Review) |
Class 8 | Viscosity, Reynolds number, Navier-Stokes equations | Concept of viscosity, formularisations of viscous flow |
Class 9 | Boundary layer, laminar flow, turbulent flow | Characteristics of boundary layer, concept of laminar and turbulent flow |
Class 10 | Flow around a body, Drag | Relation between flow field around a body and force on the body |
Class 11 | Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 7–10. | Test level of understanding and self-evaluate achievement for classes 7–10. |
Class 12 | Pipe flow and parallel plate flow | Formularisations of pipe flow and parallel plate flow, understanding of friction loss |
Class 13 | Nonuniform flow | Understanding of energy loss for nonuniform flow |
Class 14 | Thermal fluid | Formularisations of thermal flow, understanding of two phase flow and heat transfer |
Class 15 | Test level of understanding with exercise problems - Solve exercise problems covering the contents of classes 12–14. | Test level of understanding and self-evaluate achievement for classes 12–14. |
A mandatory textbook is not designated. A handout will be given at each class.
The following textbooks are recommended, though not necessarily limited.
森川敬信ら 『新版流れ学』 朝倉書店, ISBN: 978-4-254-23077-2 (in Japanese)
日野幹雄『明解水理学』丸善，ISBN: 4-621-02778-6 (in Japanese)
秋本 肇ら 『原子力熱流動工学 (原子力教科書)』オーム社, ISBN: 978-4-274-20679-5 (in Japanese)
R. Byron Bird et al. "Transport Phenomena", Wiley, ISBN: 978-0470115398
Students' knowledge of mathematical or experimental expressions in fluid dynamics, and their ability to apply them to problems will be assessed. The results of test level of understanding with exercise problems will be considered for the final evaluation.
Students must have successfully completed "Ordinary Differential Equations and Physical Phenomena"，"Theory of Linear System"，"Solid Mechanics and Structure Engineering" or have equivalent knowledge.