Course title
Hydrodynamics 1

SHIRAI Katsuaki Click to show questionnaire result at 2019
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.
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
  1. To be able to explain about fluid including fluid definition, difference between fluid and solid, continuity and viscosity
  2. To be able to calculate static forces acting on a solid surface immersed in liquid based on hydrostatic pressure and buoyancy
  3. To be able to explain different types of fluid flows including steady/unsteady, compressible/incompressible, viscous/inviscid and laminar/turbulent flows.
  4. To understand the conservation laws of fluid (continuity equation, Euler’s equation and Bernoulli’s theorem)
  5. To be able to apply the conservation laws of fluid (continuity equation, Euler's equation of motion and Bernoulli's theorem)
  6. To be able to apply the momentum theorem to calculate the forces acting on flowing fluid and solid body in a fluid flow.
  7. To be able to find non-dimensional parameters by conducting dimensional analysis in a specific situation
Class schedule

Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Course introduction and fluid properties: (1) course introduction, (2) definition of fluid, (3) fluid properties including density, specific gravity, compressibility and viscosity Read the syllabus description (preparation & review). 30minutes
Consider the difference between fluid and solid (preparation & review). 30minutes
Learn basic fluid properties such as density, specific gravity, compressibility and viscosity (preparation & review). 60minutes
2. Fluid properties: (1) Newtonian and non-Newtonian fluids, (2) rheological diagram, (3) surface tension and wetting, (4) capillary, (5) meniscus Learn the concept of shear stress and strain rate (preparation & review). 60minutes
Learn the properties of Newtonian fluid and non-Newtonian fluids (preparation & review). 60minutes
Learn the surface tension and wetting (preparation & review). 60minutes
3. Hydrostatics: (1) hydrostatic pressure: absolute/gauge pressure (2) pressure head (3) manometers Learn the hydrostatic pressure, relation between absolute and gauge pressure (preparation & review). 60minutes
Learn the concept of pressure head (preparation & review). 60minutes
Learn different types of manometers for pressure measurement (preparation & review). 60minutes
4. Hydrostatics: (1) Pascal’s law, (2) pressure distribution in fluid, (3) forces acting on a solid surface immersed in fluid Lean the pressure distribution in liquid (preparation & review). 60minutes
Learn the forces acting on a solid surface immersed in liquid (preparation & review). 60minutes
Learn the concept of Pascal's law, buoyancy and Archimedes's principle (preparation & review). 60minutes
5. Hydrostatics and hydrodynamics: (1) buoyancy, (2) stability of a floating object, (3) flow types Learn different types of flows including steady/unsteady flows, compressible/incompressible flows, viscous/invisid flows, laminar/turbulent flows (preparation & review). 60minutes
Learn the three different lines: stream line, path line and streak line, and Consider examples of them, respectively (preparation & review). 60minutes
Learn flowrate and continuity equation (preparation & review). 60minutes
6. Hydrodynamics: (1) stream/path/streak lines , (2) flowrate, (3) continuity equation Learn the continuity equation of a flow (preparation & review). 60minutes
Learn the one-dimensional Euler's equation of motion for perfect fluid (preparation & review). 120minutes
7. Hydrodynamics: (1) Euler’s equation of motion, (2) Bernoulli’s theorem, (3) Torricelli’s law Learn Bernoulli's theorem (preparation & review). 60minutes
Learn Torricelli's law (preparation & review). 60minutes
Learn the principle of Pitot tube (preparation & review). 60minutes
8. Intermediate examination Review the contents learned before the examination (review). 360minutes
Review the intermediate examination (review). 60minutes
9. Review of the examination and hydrodynamics (1) review of the intermediate examination, hydrodynamics: (2) Pitot tube, (3) Venturi nozzle Review the intermediate examination (review). 60minutes
Learn the principle and application of Venturi nozzle (preparation & review). 120minutes
10. Hydrodynamics: (1) momentum theorem, (2) calculation of the forces acting on fluid and solid Learn the basic and derived quantities (preparation & review). 60minutes
Learn Buckingham pi-theorem (preparation & review). 120minutes
11. Hydrodynamics: further applications of the momentum theorem (including pipe, propulsion, and etc.) Learn similarity parameters obtained in dimensional analysis (preparation & review). 60minutes
Learn the procedure of dimensional analysis (preparation & review). 60minutes
Learn examples of dimensional analysis (preparation & review). 60minutes
12. Dimensional analysis: (1) basic and derive quantities, (2) Buckingham pi-theorem, (3) procedure of dimensional analysis, (4) non-dimensional parameters Learn the momentum theorem of fluid flow (preparation & review). 180minutes
13. Dimensional analysis: (1) similarity, (2) examples of dimensional analysis, (3) course summary Learn applications of momentum theorem to bending pipes and impinging jet (preparation & review). 180minutes
14. Final examination: (1) final examination, (2) review (will be done on the scomb) Review the contents learned before the examination (review). 360minutes
Review the intermediate examination (review). 120minutes
Total. - - 3000minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

practice homework assignments midterm examination final examination Total.
1. 1% 5% 4% 2% 12%
2. 1% 5% 7% 2% 15%
3. 1% 5% 2% 2% 10%
4. 2% 5% 3% 2% 12%
5. 2% 5% 4% 13% 24%
6. 2% 5% 8% 15%
7. 1% 5% 6% 12%
Total. 10% 35% 20% 35% -
Evaluation method and criteria
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.
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class Feedback will be provided both in the lectures and the scombZ. Comments will be given to the individual reports.
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).)
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.)

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.

- 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.
Office hours and How to contact professors for questions
  • before/after the class (Omiya)
  • with an appointment in advance (Omiya or Toyosu)
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
About half of the classes are interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
Education related SDGs:the Sustainable Development Goals
Last modified : Sat Sep 09 06:42:08 JST 2023