Course Objectives
Learning purposes :
Acquire the basic ability to theoretically analyze various problems and phenomena related to fluid dynamics.
Course Objectives :
1. To understand the basic equations for the motion of perfect fluids, and analyze typical flow problems.
2. To understand the basic equations for the motion of compressible fluids, and analyze typical flow problems.
3. To understand the basic equations for the motion of viscous fluids, analyze typical flow problems.
Rubric
| Ideal Level | Standard Level | Acceptable Level | Unacceptable Level |
| Achievement 1 | Analyze typical flow problems related to perfect fluids, and explain the equations and solutions from a physical point of view. | Explain the basic equations for the motion of perfect fluids, and analyze typical flow problems. | Explain the basic equations of motion of perfect fluids. | Has not reached the level described in the columns on the left. |
| Achievement 2 | Analyze typical flow problems related to compressible fluids, and explain the equations and solutions from a physical point of view. | Explain the basic equations for the motion of compressible fluids, and analyze typical flow problems. | Explain the basic equations of motion of compressible fluids. | Has not reached the level described in the columns on the left. |
| Achievement 3 | Analyze typical flow problems related to viscous fluids, and explain the equations and solutions from a physical point of view. | Explain the basic equations for the motion of viscous fluids, and analyze typical flow problems. | Explain the basic equations of motion of viscous fluids. | Has not reached the level described in the columns on the left. |
Assigned Department Objectives
Teaching Method
Outline:
Relationship to practice : In this course, a teacher, who has been engaged in the measurement of exhaust gas from combustion facilities and hot spring water power generation demonstration project, etc., teaches in the form of a lecture on energy transfer and gas state change, drawing on their experience.
General or Specialized : Specialized
Field of learning : Energy and Flow
Foundational academic disciplines : Mechanical engineering/Fluid engineering
Relationship with Educational Objectives :
This class is equivalent to "(2) Acquire knowledge of specialized technical fields including materials and structure, motion and vibration, energy and flow, information and measurement/control, design and production/management, and machinery and systems, and acquire the ability to apply this knowledge to mechanical and system design, manufacture, and operations".
Relationship with JABEE programs :
The main goal of learning / education in this class is "(A), A-2".
Course outline :
In Fluid Engineering, which students have already studied, explanations were given from a hydraulic approach in order to understand the physical meaning of phenomena. In contrast, in this course, basic equations for fluid motion are derived and typical flows are explained from the hydrodynamic approach.
Style:
Course method :
The class will be taught mainly on the board or by slides, with explanations of basic concepts and derivation of equations.
Exercises and reports will be assigned as necessary to deepen understanding.
Grade evaluation method :
Exams (70%) + Exercises and reports (30%). Students may be allowed to bring their own notebooks, calculators, etc. to the exam.
Students whose grades are below 60 points may be required to take a retest, where the grade is re-evaluated up to 60 points by using the average of the regular and retest scores.
Notice:
Precautions on the enrollment :
This is a class that requires study outside of class hours. A total of 45 hours of study is required per credit, including both class time and study outside class time. Follow the instructions of the instructor regarding study outside of class hours.
Course advice :
Since knowledge of mathematics (differential equations, vector analysis, complex functions, etc.) is required as prior knowledge, students are required to review these basics as preparatory studies.
Foundational subjects : Linear Mathematics (3rd year), Applied Mathematics II (4th), Fluid Engineering (4th), Thermodynamics (4th), Highly Advanced Mathematics (5th), Energy System Engineering (Adv. 1st), etc.
Related subjects : Computational Mechanics (Adv. 2nd year), etc.
Attendance advice :
In order to deepen understanding, take the initiative in doing exercises and reports, and review the foundational subjects as necessary.
Arriving (leaving) more than 20 minutes late (early) result in one absence, and arriving (leaving) more than 65 minutes late (early) result in two absences.
Characteristics of Class / Division in Learning
Course Plan
|
|
|
Theme |
Goals |
| 1st Semester |
| 1st Quarter |
| 1st |
Guidance
Fundamentals of fluid motion (description of motion, deformational motion, rotational motion)
Homework related to fluid motion |
Understand the basics of describing fluid motion, and express deformational and rotational motions mathematically.
|
| 2nd |
Properties of fluids (volume and area forces, stress, Newtonian and perfect fluids) |
Explain the forces acting on fluids, and classify fluids.
|
| 3rd |
Basic equation 1 (conservation of mass, conservation of momentum)
Homework related to the equation of continuity and the equation of motion |
Explain the derivation of the equation of continuity and the equation of motion.
|
| 4th |
Basic equations 2 (vorticity equation, conservation of energy)
Homework related to vorticity and energy equations |
Explain the derivation of the vorticity and energy equations.
|
| 5th |
Motion of a perfect fluids 1 (Fundamental theorem of potential flow) |
Explain the fundamental theorem of potential flow.
|
| 6th |
Motion of perfect fluids 2 (various potential flows)
Homework related to potential flows |
Obtain solutions for various potential flows.
|
| 7th |
Incompressible and irrotational flow in two dimensions 1 (stream function, complex velocity potential) |
Explain the stream function and complex velocity potential.
|
| 8th |
Incompressible and irrotational flow in two dimensions 2 (example of flow field) |
Obtain solutions for a typical two-dimensional incompressible and irrotational flow.
|
| 2nd Quarter |
| 9th |
Incompressible and irrotational flow in two dimensions 3 (conformal transformation, Joukowski transformation, forces acting on objects)
Homework related to incompressible and irrotational flow |
Explain conformal transformation, Joukowski transformation, and forces acting on objects.
|
| 10th |
Compressible fluid 1 (sound waves) |
Derive the wave equation from the basic equations of compressible fluid, and explain the solution of the wave equation.
|
| 11th |
Compressible fluid 1 (shock waves)
Homework related to the Rankine-Hugoniot relations |
Explain shock waves, and derive the Rankine-Hugoniot relations.
|
| 12th |
Viscous Fluid Flow 1 (basic equations and boundary conditions, similarity law)
Homework related to similarity laws |
Explain the basic equations and boundary conditions of viscous fluids.
Explain the physical meaning of the similarity law and the classification of flows.
|
| 13th |
Viscous fluid flow 2 (parallel flow, low Reynolds number flow)
Homework related to parallel flow |
Obtain solutions for typical parallel flows.
Explain the equation of low Reynolds number flow.
|
| 14th |
Viscous fluid flow 3 (high Reynolds number flow) |
Explain the high Reynolds flow equation and boundary layer.
|
| 15th |
(1st semester final exam) |
|
| 16th |
Return and commentary of exam answers |
|
Evaluation Method and Weight (%)
| Examination | Exercises and reports | Total |
| Subtotal | 70 | 30 | 100 |
| Basic Proficiency | 0 | 0 | 0 |
| Specialized Proficiency | 70 | 30 | 100 |
| Cross Area Proficiency | 0 | 0 | 0 |