Course title
M01050002
Hydrodynamics

SHIRAI Katsuaki
Course description
The course is compulsory for the second year students at the department of mechanical engineering. In this lecture, the students will learn the fundamentals of fluid mechanics. The lecture consists of basic properties of fluids, static and dynamical aspects of fluids. In addition, dimensional analysis will be taught with examples.
(この授業は英語開講科目です。)
Purpose of class
1.To learn the basic knowledge on fluid properties (continuity, density, viscosity, and surface tension).
2.To learn the fundamentals of fluid statics (absolute/gauge pressure, manometers, Pascal’s law, pressure distribution, forces acting on a solid surface immersed in liquid, buoyancy, Archimedes' principle).
3.To learn the fundamentals of fluid dynamics (different types of flows (steady/unsteady, viscous/inviscid, laminar/turbulent), stream/path/streak lines), flowrate and hydrodynamic conservation laws (continuity equation, Euler’s equation of motion, Bernoulli’s theorem, Torricelli's law, Pitot/ Venturi tubes, momentum theorem).
4.To learn the dimensional analysis (basic/derived quantities, Buckingham’s pi-theorem, similarity parameters).
5.To learn the applications of the above concepts to fluid flow problems.
Goals and objectives

Goals and objectives Course Outcomes
1. To be able to explain about fluid including fluid definition, difference between fluid and solid, continuity and viscosity
A-1
2. To be able to calculate static forces acting on a solid surface immersed in liquid based on hydrostatic pressure and buoyancy
A-1
3. To be able to explain different types of fluid flows including steady/unsteady flow, compressible/incompressible flow, viscous/invisid flows and laminar/turbulent flow.
A-1
4. To understand the equations of the conservation laws of fluid (continuity equation, Euler’s equation and Bernoulli’s theorem)
A-1
5. To be able to apply the conservation laws of fluid (continuity equation, Euler's equation of motion and Bernoulli's theorem)
A-1
6. To be able to find non-dimensional parameters by doing dimensional analysis.
To be able to calculate forces acting on a solid body or fluid velocity based on the momentum theorem of fluid flow.
A-1
Relationship between 'Goals and Objectives' and 'Course Outcomes'

practice演習 homework assignments課題レポート midterm examination中間試験 final examination期末試験 Total.
1. 1% 5% 5% 2% 13%
2. 1% 5% 5% 2% 13%
3. 1% 5% 5% 2% 13%
4. 2% 5% 5% 5% 17%
5. 2% 5% 8% 15%
6. 3% 10% 16% 29%
Total. 10% 35% 20% 35% -
Class schedule
  1. Course introduction and fluid properties: (1) course introduction (授業の概要), (2) definition of fluid (流体の定義), (3) fluid properties (流体の基本的性質) including density (密度), specific gravity (比重), compressibility (圧縮性) and viscosity (粘性)
  2. fluid properties: (1) Newtonian fluid (ニュートン流体), (2) non-Newtonian fluids (非ニュートン流体) (3) surface tension and wetting (表面張力と濡れ性)
  3. hydrostatics: (1) hydrostatic pressure (静水圧), absolute (絶対圧), gauge pressure (ゲージ圧) (2) pressure head (水頭, 圧力ヘッド) (3) manometers (マノメーター)
  4. hydrostatics (1) Pascal’s law (パスカルの原理), (2) pressure distribution (圧力分布), (3) forces acting on a solid surface immersed in liquid (液体中の固体表面に働く力), (4) buoyancy (浮力) (5) Archimedes' principle (アルキメデスの原理)
  5. hydrodynamics: (1) flow types (流れの様式) including steady/unsteady flows (定常/非定常流), compressible/incompressible flows (圧縮/非圧縮流), viscous/invisid flows (粘性/非粘性流), laminar/turbulent flows (層流/乱流), (2) stream/path/streak lines (流線、流跡線、流脈線), (3) flowrate (流量), (4) continuity equation (連続の式)
  6. hydrodynamics: (1) continuity equation (連続の式), (2) Euler’s equation of motion for perfect fluid (オイラーの運動方程式)
  7. hydrodynamics: (1) Bernoulli’s theorem (ベルヌーイの定理), (2) Torricelli’s law (トリチェリの定理), (3) Pitot tube (ピトー管)
  8. intermediate examination (中間試験) and the review of the examination (中間試験の解説)
  9. review of the examination and hydrodynamics (1) review of the intermediate examination (中間試験の講評), hydrodynamics: (2) Venturi nozzle (ベンチュリ管)
  10. dimensional analysis: (1) basic (基本単位) and derive quantities (組立単位), (2) Buckingham pi-theorem (バッキンガムのパイ定理)
  11. dimensional analysis: (1) similarity parameter (相似パラメーター), (2) procedure of dimensional analysis (次元解析の手順), (3) examples (例題)
  12. hydrodynamics: momentum theorem (運動量の法則)
  13. hydrodynamics: application of momentum theorem (運動量の法則の応用) to bending pipes (曲がり管) and impinging jet (衝突噴流)
  14. final examination: (1) final examination (期末試験), (2) review (試験の講評) (will be done on the scomb (scomb上で実施))
Goals and objectives (Other Courses)
A:Fundamental Mechanical Engineering B:Advanced Mechanical Engineering C:Environment and Materials Engineering D:Chemistry and Biotechnology E:Electrical Engineering and Robotics G:Advanced Electronic Engineering F:Information and Communications Engineering L:Computer Science and Engineering H:Urban Infrastructure and Environment
Language
English
Evaluation method and criteria
Evaluation method and criteria HW assignments (Including preparation and review of the class.) Amount of Time Required
The final score is evaluated based on practice (10%), assignments (35%), intermediate exam (20%) and final exam (35%). Credit will be given only when the score is equal or over 60% out of 100 % in total. Successful credit acquisition requires the following all the conditions to be satisfied. The student is capable of 1. understanding the concept of fluid and to be able to explain the properties of fluid, and besides, 2 understanding the hydrostatic forces acting on a solid surface immersed in liquid and calculating them in a specific situation, and besides, 3. understanding the basic equations of the conservation laws (continuity equation, Euler's equation, Bernoulli's theorem and momentum theorem) and applying them in a specific problem, and besides, 4. understanding the concepts of dimensional analysis and applying it in a specific situation.

成績評価は演習(10%)、課題(30%)、中間試験(25%)、期末試験(35%)の総合成績に基づく。単位取得にはこれら100%のうち60%以上の成績が必要である。60%のレベルとは、上記目標に対し、1.流体の定義と性質を説明でき、なおかつ2.壁面に作用する静水力を理解し、具体的な問題においてそれを計算でき、なおかつ3.流体の保存則(連続の式、オイラーの運動方程式、ベルヌーイの定理、運動量の法則)を理解し応用でき、なおかつ4.次元解析を理解し応用できることである。
Read the syllabus description (preparation & review).
シラバスの確認(予習・復習)
30分
- - 30分
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class Feedback will be provided in lectures and in the scombZ.
Textbooks and reference materials
The following textbooks are available online for use in this lecture. The students can access the electronic book data via ProQuest Ebook Central through the SIT library.
1. “Introduction to Fluid Mechanics (5th edition)”, by William S. Janna, Chapman and Hall/CRC (2015)
2. “Fluid Mechanics and Machinery” C.P. Kothandaraman , and R. Rudramoorthy, New Academic Science (2011)
The students may refer to other supplement textbooks such as: “A Physical Introduction to Fluid Mechanics” by Alexander J Smits, Wiley (1999). Most of introductory textbooks on fluid mechanics or fluid dynamics would be helpful for the students to understand the course contents. (Those who have difficulties for reading in English can refer any textbook written in their own language on hydrodynamics (such as Nagare-gaku) or fluid mechanics (such as Ryutai-rikigaku).)

下記の電子書籍を教科書として用いる。学生は本学図書館からProQuest Ebook Centralを通じて全文アクセス可能である。
1. “Introduction to Fluid Mechanics (5th edition)”, by William S. Janna, Chapman and Hall/CRC (2015)
2. “Fluid Mechanics and Machinery” C.P. Kothandaraman , and R. Rudramoorthy, New Academic Science (2011)
さらに参考書として、“A Physical Introduction to Fluid Mechanics” by Alexander J Smits, Wiley (1999)も挙げられる。流体力学の初歩的内容を扱う多くの教科書も理解のうえで助けになる。また、上記教科書だけでは理解が難しい場合には、流れ学(水力学)や流体力学について母国語で書かれた教科書を必要に応じて参照するのもよい。
Prerequisites
Prerequisite knowledge
basic knowledge on mathematics (linear algebra, calculus, vector analysis) and physics (dynamics)
(The prerequisite knowledge will not be taught in this class. Those who do not have the prerequisite knowledge are advised not to enroll in this course.)
前提となる知識
数学(線形代数、解析学、ベクトル解析)および物理(力学)の基本的知識
(これらの前提知識に関して本授業では扱わない。前提知識のない学生は履修を控えるのが望ましい。)

Preparation
The students are requested to learn the basic ideas on the content before the lecture for understanding. The students are encouraged to solve problems for improve their understandings of the subject. Homework assignment must be submitted online via scomb system.
履修準備
学生は授業前にその回の授業で扱われる内容を事前に予習する必要がある。また、理解を深めるために演習問題を解くのもよい。課題はscomb上で提出するものである。

Advice
- This course is premised on the regular attendance of students in the lecture.
- The students are expected to be involved in the lecture, practice and homework assignments.
- The students should regularly check the scombZ system for homework assignments every week after the class.
推奨事項
- 本授業は毎回の授業への出席を前提とする。
- 学生は授業に加え、演習や宿題に取り組むべきである。
- 頻繁にscombZにアクセスし、課題を確認する。
Office hours and How to contact professors for questions
  • before/after the class (Omiya)
    授業前および授業後(大宮キャンパス)
  • with an appointment in advance (Omiya or Toyosu)
    事前予約による質問・相談(大宮または豊洲キャンパス)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates a basic self-management skills
  • Course that cultivates a basic problem-solving skills
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
Most classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A 該当しない
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 7.AFFORDABLE AND CLEAN ENERGY
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Wed Feb 28 04:07:46 JST 2024