Course title
4M607000
Advanced Course on Applied Gas Dynamics

 tsunoda kazumi Click to show questionnaire result at 2018
Course content
Among the broad range of application fields of fluid dynamics, the course will focus on the themes of “supersonic flow” and “magnetohydrodynamcs” which are intimately related with gas dynamics, and the basic principles will be explained. The phenomena dealt with in this course include many interesting themes from a physical perspective, as well as from an engineering application perspective relating to energy and the environment etc. While it is important to understand each phenomenon in-depth, students should always be aware of their interrelationships and potential applications, and understand those aspects which are related their own research fields.
Purpose of class
The specific purposes of the class are:
1. To understand physical phenomena of a supersonic flow.
2. To master calculation methods to examine compressible fluid motions.
Goals and objectives
  1. Students will be able to derive the governing equations of compressible fluid flow and to explain the fundamental phenomena of gas based on the equations.
  2. Students will be able to explain the characteristics of the supersonic flow through a nozzle.
  3. Students will be able to apply oblique shock wave relations and Prandtl-Meyer function to explain two-dimensional supersonic flow-fields.
  4. Students will be able to understand important plasma parameters and to apply the MHD approximation to the plasma flow.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1． Introduction
- Physical phenomena in a compressible flow
- Continuum model of a fluid 		Review the governing equation of fluid flow and the fundamental laws of thermodynamics 90minutes
Review the today's lesson by watching the lecture video recorded in the class room 90minutes
2． Conservation equations -1-
- Definition of control volume and system in a flow
- Gauss's divergence theorem
- Control volume analysis of mass conservation
- Conservation of mass in integral form and differential form 		- Read the handout #1 90minutes
- Review the today's lesson by watching the lecture video recorded in the class room 90minutes
3． Conservation equations -2-
- Control volume analysis of momentum conservation
- Conservation of momentum in integral form and differential form 		- Read the handout #2 90minutes
90minutes
4． Conservation equations -3-
- Control volume analysis of energy conservation
- Conservation of energy in integral form and various differential forms 		- Read the handout #3 90minutes
90minutes
5． Steady one-dimensional flow -1-
- Continuity equation for steady one-dimensional flow
- Momentum equation for steady one-dimensional flow
- Energy equation for steady one-dimensional flow 		- Read the handout #4 90minutes
90minutes
6． Steady one-dimensional flow -2-
- Propagation of infinitesimal disturbance and speed of sound
- Characteristic Mach number
- Stagnation condition 		- Read the handout #5 90minutes
120minutes
7． Normal shock-wave
- Calculation of normal shock-wave properties
- Stagnation conditions ahead of and behind a normal shock wave 		- Read the handout #6 90minutes
90minutes
8． Nozzle flow -1-
- Development of the governing equations for quasi-one-dimensional flow
- Compressible flow in converging and diverging ducts
- Supersonic nozzle and supersonic diffuser 		- Read the handout #7 90minutes
90minutes
9． Nozzle flow -2-
- Area-Mach number relation
- Flow properties through a convergent-divergent nozzle
- Supersonic nozzle flow with a normal shock inside the nozzle 		- Read the handout #8 90minutes
90minutes
10． Steady two-dimensional flow -1-
- Oblique shock relations
- Supersonic flow over concave corner
- Strong shock-wave and weak shock-wave 		- Read the handout #9 90minutes
90minutes
11． Steady two-dimensional flow -2-
- Weak wave produced by an infinitesimally small flow deflection
- Prandtl-Meyer expansion fan and Prandtl-Meyer function
- Pseudo shock-wave 		- Read the handout #10 90minutes
90minutes
12． Magnetohydrodynamics -1-
- Definition of plasma
- Debye length and plasma frequency
- Collision cross-section and collision frequency 		- Read the handout #11 100minutes
90minutes
13． Magnetohydrodynamics -2-
- The velocity distribution function in plasma
- Current density and electrical conductivity 		- Read the handout #12 120minutes
90minutes
14． Magnetohydrodynamics -3-
- MHD equation
- Generalized Ohm's law
- Hartmann flow 		- Read the handout #13 120minutes
120minutes
Total. - - 2650minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 literature review Report Total.
1. 15% 5% 20%
2. 15% 15% 30%
3. 15% 15% 30%
4. 15% 5% 20%
Total. 60% 40% -
Evaluation method and criteria
Students will be evaluated based on literature review (60%) and reports (40%). The details will be explained during the first class.
Textbooks and reference materials
J.D.Anderson,Jr. "Modern Compressible Flow"
M.Michner and C.H.kruger,Jr. "Partially Ionized Gases"
Prerequisites
Fundamental knowledge of Fluid dynamics and Thermodynamics
Office hours and How to contact professors for questions
  • Every Thursday, 12:30-13:10 at Toyosu campus
Relation to the environment
Environment education course (30%)
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
Most classes are interactive
Last modified : Wed Oct 17 07:01:13 JST 2018