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。）
（この授業は英語開講科目です。）
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.
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 | 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
|
| Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
|---|---|---|---|
| 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) | Read the syllabus description (preparation & review). シラバスの確認（予習・復習） |
30分 |
| Consider the difference between fluid and solid (preparation & review). 流体と固体の違いを考える（予習・復習） |
30分 | ||
| Learn basic fluid properties such as density, specific gravity, compressibility and viscosity (preparation & review). 流体の基本的性質（密度、比重、圧縮性、粘性）を学ぶ（予習・復習） |
60分 | ||
| 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) | Learn the concept of shear stress and strain rate (preparation & review). せん断の変形速度とせん断応力を学ぶ（予習・復習） |
60分 |
| Learn the properties of Newtonian fluid and non-Newtonian fluids (preparation & review). ニュートン流体と非ニュートン流体を学ぶ（予習・復習） |
60分 | ||
| Learn the surface tension and wetting (preparation & review). 表面張力と濡れ性を学ぶ（予習・復習） |
60分 | ||
| 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) | Learn the hydrostatic pressure, relation between absolute and gauge pressure (preparation & review). 静水圧、絶対圧、ゲージ圧を学ぶ（予習・復習） |
60分 |
| Learn the concept of pressure head (preparation & review). 水頭（圧力ヘッド）を学ぶ（予習・復習） |
60分 | ||
| Learn different types of manometers for pressure measurement (preparation & review). 圧力計測のためのマノメーターを学ぶ（予習・復習） |
60分 | ||
| 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) | Lean the pressure distribution in liquid (preparation & review). 液体中での圧力分布を学ぶ（予習・復習） |
60分 |
| Learn the forces acting on a solid surface immersed in liquid (preparation & review). 液体中の固体表面に働く力を学ぶ（予習・復習） |
60分 | ||
| Learn the concept of Pascal's law, buoyancy and Archimedes's principle (preparation & review). パスカルの原理、浮力、アルキメデスの原理を学ぶ（予習・復習） |
60分 | ||
| 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) | Learn different types of flows including steady/unsteady flows, compressible/incompressible flows, viscous/invisid flows,
laminar/turbulent flows (preparation & review). 流れの様式（定常/非定常流、圧縮/非圧縮流、粘性/非粘性流、層流/乱流）を学ぶ（予習・復習） |
60分 |
| Learn the three different lines: stream line, path line and streak line, and Consider examples of them, respectively (preparation
& review). 流線、流跡線、流脈線を学び、それぞれの例を考える（予習・復習） |
60分 | ||
| Learn flowrate and continuity equation (preparation & review). 流量、連続の式を学ぶ（予習・復習） |
60分 | ||
| 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) | Learn the continuity equation of a flow (preparation & review). 連続の式を学ぶ（予習・復習） |
60分 |
| Learn the one-dimensional Euler's equation of motion for perfect fluid (preparation & review). オイラーの運動方程式を学ぶ（予習・復習） |
120分 | ||
| 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) | Learn Bernoulli's theorem (preparation & review). ベルヌーイの定理を学ぶ（予習・復習） |
60分 |
| Learn Torricelli's law (preparation & review). トリチェリ―の定理を学ぶ（予習・復習） |
60分 | ||
| Learn the principle of Pitot tube (preparation & review). ピトー管の原理を学ぶ |
60分 | ||
| 8. | intermediate examination (中間試験) and the review of the examination (中間試験の解説) | Review the contents learned before the examination (review). 中間試験の準備勉強（復習） |
360分 |
| Review the intermediate examination (review). 中間試験の復習（復習） |
60分 | ||
| 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) | Review the intermediate examination (review). 中間試験の復習（復習） |
60分 |
| Learn the principle and application of Venturi nozzle (preparation & review) ベンチュリ―管の原理と応用を学ぶ（予習・復習） |
120分 | ||
| 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) | Learn the basic and derived quantities (preparation & review). 基本単位と組立単位を学ぶ（予習・復習） |
60分 |
| Learn Buckingham pi-theorem (preparation & review). バッキンガムのパイ定理を学ぶ（予習・復習） |
120分 | ||
| 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) | Learn similarity parameters obtained in dimensional analysis (preparation & review). 次元解析から得られる相似パラメーターを学ぶ（予習・復習） |
60分 |
| Learn the procedure of dimensional analysis (preparation & review). 次元解析の手順を学ぶ（予習・復習） |
60分 | ||
| Learn examples of dimensional analysis (preparation & review). 次元解析の例題を学ぶ（予習・復習） |
60分 | ||
| 12. | hydrodynamics: momentum theorem (運動量の法則) | Learn the momentum theorem of fluid flow (preparation & review). 運動量の法則を学ぶ（予習・復習） |
180分 |
| 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) | Learn applications of momentum theorem to bending pipes and impinging jet (preparation & review). 運動量の法則の曲がり管と衝突噴流への応用を学ぶ（予習・復習） |
180分 |
| 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)) | Review the contents learned before the examination (review). 期末試験の準備勉強（復習） |
360分 |
| Review the intermediate examination (review). 期末試験の復習（復習） |
120分 | ||
| Total. | - | - | 3000分 |
| 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% | - |
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。
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。
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。
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。
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 scomb 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scombにアクセスし、課題を確認する。
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 scomb 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scombにアクセスし、課題を確認する。
- 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）
- Course that cultivates a basic self-management skills
- Course that cultivates a basic problem-solving skills
- Course that cultivates an ability for utilizing knowledge
| Work experience | Work experience and relevance to the course content if applicable |
|---|---|
| N/A | 該当しない |
- 4.QUALITY EDUCATION
- 7.AFFORDABLE AND CLEAN ENERGY
- 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sun Mar 21 16:13:32 JST 2021