| Course title | |||||
| 流体力学Ⅰ [Hydrodynamics] | |||||
| Course category | technology speciality courses,ets. | Requirement | Credit | 2 | |
| Department | Year | 2～4 | Semester | Spring | |
| Course type | Spring | Course code | 022509 | ||
| Instructor(s) | |||||
| 亀田 正治, 田川 義之 [KAMEDA Masaharu, TAGAWA Yoshiyuki] | |||||
| Facility affiliation | Faculty of Engineering | Office | Email address | ||
| Course description |
| Hydrodynamics is one of the physical disciplines, which covers flows and waves of a gas or a liquid. The hydrodynamics has been developed in order to understand fluid dynamics, which is seemingly quite complicated, with a few basic equations. In this lecture, mathematical models for the conservation laws (for mass, momentum, and energy) and forces acting on fluids (pressure, viscous force, gravity force) will be explained in detail. As a concrete example, the students will learn some practical relations and properties for the pipe flow. |
| Expected Learning |
| At university, the students will encounter "Hydrodynamics" for the first time. The priority of this lecture is thus to understand the characters of fluid and its dynamics. This lecture will aim for the students to (1) understand perfectly the equation of continuity (mass conservation law), Bernoulli's equation (mechanical energy conservation law; the equation represents the relation between the pressure and the velocity), Reynolds number, and laminar/turbulent flows, (2) derive properly the mathematical models to describe typical flows, and (3) conduct practical calculations accurately. |
| Course schedule |
|
1. General guidance: Introduction to fluid dynamics and tutorial for this lecture. 2. What is "fluid"?: Introduction for important quantities describing flow motions such as density, viscosity, temperature, pressure, and velocity. 3. Conservation law for mass (1): The concept of "control volume" will be explained in detail for deriving the conservation law for mass. 4. Conservation law for mass (2): General formula of the conservation law for mass will be given in both integral and differential formulas. The students will learn the concept of "(volume) flow rate" and the conservation law for the flow rate. 5. Forces acting on fluids: The students will learn the body force (gravity force), the surface force (pressure, viscous force), and the viscous nature of fluids. 6. Fluid statics: The "static pressure", pressure acting on a quiescent fluid, will be formulated based on the balance between the gravity and the pressure. The students will learn the principle of manometer and the mechanism for the buoyancy force (Archimedes principle). 7. Conservation law for momentum: General form of the conservation law for momentum will be provided. The students will exercise the way of calculating forces acting on an object in the "steady flow", in which the flow velocity at any position is time-independent. 8. Mid-term exam 9. Conservation law for energy: Conservation of energy for an open system is expressed based on the idea of control volume, where mechanical work done againt the surroundings and heat transfer through the surface of control volume are taken into account. Some examples of practical design for fluid machinery will be provided. 10. Bernoulli's equation (1): The Bernoull's equation, a special form of conservation law for mechanical energy along a streamline, will be derived. 11. Bernoulli's equation (2): Derivation of pressure and velocity using the Bernoulli's equation in a Pitot tube (velocity meter), a Venturi tube (flow rate meter), or a water-filled tank with an open hole (Torricelli's theorem). 12. Bernoulli's equation (3): Exercise 13. Pipe flow and pressure loss (1): The students will formulate the pressure loss due to flow separation and friction at the wall. Furthermore, the students will learn "laminar flow", "turbulent flow", and Reynolds number that relates flows with different length scales. 14. Pipe flow and pressure loss: (2): The lecture provides theory and practical formulas for the pressure loss in a laminar flow or a turbulent flow. The mechanism for pressure loss due to flow contraction/expansion will be explained. 15. Final exam |
| Prerequisites |
| Basic physics (High-school level or university-freshman level) |
| Required Text(s) and Materials |
| Japanese Societry for Mechanical Engineers (ed.), JSME Textbook Series 5. Fluid Mecahnics, Maruzen, Tokyo, 2005. |
| References |
| Sugiyama, H. et al., Fluid Dynamics, Morikita, Tokyo, 1995; Fujikawa, H., Fluid Dynamics, Baifu-kan, Tokyo, 2005; Tatsumi, T., Fluid Mechanics, Baifu-kan, Tokyo, 1982. |
| Assessment/Grading |
| Homework (1pt ×10), Mid-term exam (40pt), Final exam (50pt). The students scoring 60 total points will pass this lecture. |
| Message from instructor(s) |
| Course keywords |
| Continuum equaiton, Static pressure, Bernoulli's equation, Pressure loss, Reynolds number |
| Office hours |
| Lunch break (11:45-13:00) |
| Remarks 1 |
|
Grade distribution for three years: (2014) Total number of students: 152, S: 9, A: 33, B: 45, C: 33, D: 32 (2013) Total number of students: 158, S: 13, A: 24, B: 42, C: 39, D: 40 (2012) Total number of students: 70, S: 5, A: 9, B: 21, C: 16, D: 19 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 4/13/2017 10:45:52 AM |