Hydraulics I mainly covers nonviscous (ideal) fluids among various water flows. Students will understand fundamental concepts and principles on hydraulics such as Euler equation of motion, Bernoulli's theorem (conservation of energy), equation of continuity (conservation of mass), and conservation of momentum, and also study examples of their applications to various hydraulic phenomena (for example, Pitot tube, Torricelli theorem, U-shaped tube, forces on curved pipe sections, drag forces on objects, etc.). Students will also understand that velocity potentials, flow functions, pressure equations, etc., and how to apply such principal to the vortex-free flow (e.g., blade weir flows, wave flows, etc.). Viscous fluid is mainly treated in Hydraulics II (open channel, pipeline, etc.), but in Hydraulics I, students learn the mathematical derivation and application of Navier-Stokes equation (Poiseuille flow, etc.) through the concept and formulation of viscous stress and shear stress. In the second half of this class, students learn not only how to apply the above-mentioned hydraulic concepts and principles to blade weir flows and wave flows, but also specific experimental techniques and analytical examples. Understanding of water flow is essential for the maintenance and management of a safe and healthy environment in lakes, rivers, and coastal marine areas. By understanding the basic principles and fundamental phenomena of water flow in this lecture, students will be able to understand the complex and diverse aspects of water flow in the real environment and gain a foundation for further in-depth study of flow and environmental phenomena occurring in rivers, lakes, and coastal.
By taking this course, students will acquire the following abilities
1. Fully understand the fundamental concepts and principles of hydraulics, such as Euler equation of motion, Bernoulli's theorem (conservation of energy law), continuity equation (conservation of mass law), momentum conservation equation, Navier-Stokes equation, etc., and be able to derivative the equations.
2. To be able to apply the above basic concepts and principles of hydraulics to actual hydraulic phenomena (Pitot tube, Torricelli theorem, U-tube, force acting on a curved pipe, drag force acting on an object, etc.).
3. To be able to apply hydraulic principles such as velocity potentials and flow functions (etc) that can be treated as vortex-free (potential flow, blade weir flow, wave flow, etc.)
4. To be able to apply specific experimental and analytical methods, as well as the hydraulic concepts and principles described above, to blade weir flows and wave flows.
Euler equation of motion, Bernoulli's theorem (conservation of energy), continuity equation (conservation of mass), momentum conservation equation, Navier-Stokes equation,potential flow, blade weir flow, flow net, water waves, small amplitude waves, specific energy
✔ Specialist skills | Intercultural skills | Communication skills | Critical thinking skills | Practical and/or problem-solving skills |
At the each class, solutions to exercise problems are requested. Required learning should be completed outside of the classroom for preparation and review purposes .
Course schedule | Required learning | |
---|---|---|
Class 1 | Fundamentals in hydraulics + conservation law of energy (1) | To understand fundamentals in hydraulics and conservation law of energy |
Class 2 | Conservation law of energy (2) | Application of conservation of energy law (Bernoulli equation) to various flows |
Class 3 | Conservation law of momentum (1) | Understand the law of conservation of momentum in water flow. |
Class 4 | Conservation law of momentum (2) | Application of conservation law of momentum to various flows |
Class 5 | Equation of motion | Understand the equations of motion in water flow. |
Class 6 | Equation of motion and conservation of energy law | Understand the relationship between the equation of motion and the conservation law of energy in water flow |
Class 7 | Potential flow | Understand potential and applicable water flows. |
Class 8 | Midterm exam | Review the content of the first half of the lecture |
Class 9 | Fundamental principle of water flow II - application of energy conservation law (Bernoulli's principle) | Understand pressure distribution in hydrostatic conditions. |
Class 10 | Fundamental principle of water flow III - derivation of momentum conservation law | Understand hydrostatic pressure acting on various objects. |
Class 11 | Flow over blade weir (1) | To study fundamental matters on flow over weir such as the flow net method, etc. |
Class 12 | Flow over blade weir (2) | To study important issues in conducting experiments on flow over a blade weir (specific energy in open channel flow, subcritical flow, supercritical flow etc) |
Class 13 | Water Wave (1) | To study fundamental matters on water waves such as the nature of waves, etc. |
Class 14 | Water Wave (2) | To study the important issues involved in conducting wave experiments |
Class 15 | Final examination |
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.
Hino Mikio, Hydraulics "Meikai Suirigaku", Maruzen (1983/01), ISBN-13: 978-4621027783 (Japanese)
Ikeda Shunsuke, Hydraulics "Shoujutu Suirigaku", Gihodo (1999/01), ISBN-13: 978-4765515993 (Japanese)
Other references in Japanese
Midterm and Final exams 80% (in classroom), exercise problems 20%.
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