山口大学教務システム - 1061130180-流体工学II

開講年度	開講学部等
2025	工学部
開講学期	曜日時限	授業形態	AL（アクティブ・ラーニング）ポイント
前期	月3～4	講義	1.0
時間割番号	科目名[英文名]			使用言語	単位数
1061130180	流体工学II[Fluids Engineering II]			日本語	2
担当教員（責任）[ローマ字表記]					メディア授業
蒋飛[SHO Hi]					ー
担当教員[ローマ字表記]
蒋飛　[SHO Hi]
特定科目区分		対象学生	生体・ロボット	対象年次	3～
ディプロマ・ポリシーに関わる項目			カリキュラムマップ(授業科目とDPとの対応関係はこちらから閲覧できます)

授業の目的と概要

Fluid Engineering Ⅱ focuses on acquiring mathematical analytical capability for analysis of fluid phenomena.
Learn how to understand flow by learning the equation of motion based on analysis and getting its approximate solution.
The target theme is the force exerted from the fluid, learn the drag force and lift acting on the object, and the fundamentals of the boundary layer which causes it.

授業の到達目標

In this course, we will apply vector calculus to fluid dynamics to understand acceleration, deformation, and rotation, as well as grasp the characteristics of the equations of motion for perfect fluids. Students will learn various methods of flow visualization (streamlines, pathlines, streaklines) and the use of stream functions, deepening their understanding of exact solutions, numerical solutions, and boundary layer approximations. Through the process of deriving solutions to equations of motion, students will learn how to set appropriate conditions and simplify differential equations. Students are expected to develop an active approach to problem-solving by incorporating their own ideas and methods. Finally, students will acquire practical skills in setting appropriate conditions for target flows, simplifying differential equations, and deriving solutions.

授業計画

【全体】

We understand that drag and lift are the most important forces in fluid engineering and understand that it is the boundary layer that influences it.
The best tool for predicting and controlling the boundary layer is a differential equation and learns how to express fluid motion based on differential equations.
The equation of motion of a fluid is nonlinear, understand and acquire a method to derive an analytical solution by setting appropriate conditions for flow.
Finally, we derive a solution that predicts frictional resistance by considering the boundary layer equation and similarity.

	項目	内容	授業時間外学習	備考

第1回	Fluid force acting on an object	Take up the flow around the cylinder and check the expression of drag and lift and the change due to Reynolds number.	Solve problems in class and submit it by next lecture

第2回

Fluid as a continuum and the basis of vector analysis

For fluids as a continuum, understand that velocity and pressure are defined as vector quantities and scalar quantities, and computation is performed using the basis of vector analysis.

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第3回

Euler observation method and conservation law of mass

In the description of the motion by the Euler observation method, we learn that continuous expression can be obtained by understanding substance differentiation and applying it to mass conservation law.

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第4回

Fluid momentum equation (momentum conservation law)

Understand the generalized fluid momentum equation (momentum conservation law).

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第5回

Stress tensor of viscous fluid and derivation of the Navier-Stokes equations

Explain the stress tensor of viscous fluid and derivation of the Navier-Stokes equations

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第6回

Exact solution of viscous fluid flows

Understand that you can learn that exact solutions can be obtained by parallel flow approximation such as Hagen Poiseuille flow, Couette flow, and calculate basic values such as friction resistance coefficient based on exact solution.

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第7回

Similarity laws and Euler's equation of motion (ideal fluid)

Understand the similarity laws of fluids. Understand two types of external forces, volumetric and area forces, and Euler's equation of motion as a law of conservation of momentum.

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第8回

Intermediate check point

Confirm the learning outcomes so far on fluid force acting on the object, expression of motion, substance differential, continuous equation, motion equation and Bernoulli's theorem.

For questions that were incorrect, check the cause and use it for future learning.

第9回

Ideal fluid and potential flow

Explain the difference between perfect fluid and potential flow. Understand how to represent non-rotational flow.

Solve problems in class and submit it by next lecture

第10回

Mathematical representation of streamlines and potential and flow functions

Explain the mathematical expression of streamlines and the potential function and flow function. Understand the relationship between the flow function and the flow rate.

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第11回

Turbulence and Reynolds' equation

Explain the treatment of turbulence and the derivation of the Reynolds equation. To understand Reynolds averages.

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第12回

Boundary layer approximation

Understand the significance of boundary layer approximation (thin layer approximation) and boundary layer equation based on order analysis, that the boundary layer has an important meaning to drag.

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第13回

Basic properties of the boundary layer

Understand that basic values of the boundary layer, such as momentum thickness, exclusion thickness and wall shear stress, are closely related to the velocity distribution.

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第14回

Kalman's momentum integral equation

Understand the derivation of the Karman's momentum integral equation and learn to obtain theoretical solution of momentum thickness and frictional resistance in a similar flow.

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第15回

Last examination

Confirm the degree of comprehension by the final examination on the exact solution of the Navier-Stokes equation and the analytic solution based on the boundary layer

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※AL（アクティブ・ラーニング）欄に関する注
・授業全体で、AL（アクティブ・ラーニング）が占める時間の割合を、それぞれの項目ごとに示しています。
・A〜Dのアルファベットは、以下の学修形態を指しています。
【A：グループワーク】、【B：ディスカッション・ディベート】、【C：フィールドワーク（実験・実習、演習を含む）】、【D：プレゼンテーション】

A: --%　B: --%　C: 10%　D: --%

成績評価法

Evaluation will be based on reports and written exams (midterm and final).
Reports: 20%
Written exams (midterm and final): 80%

教科書にかかわる情報

教科書	書名	工科系流体力学				ISBN	9784320080362
教科書	著者名	中村育雄・大坂英雄	出版社	共立出版				出版年	1985

備考

参考書にかかわる情報

備考

The following books are appropliate to understand fandamentals of Fluid Mechanics.
Fluid Mechanics, by Pijush K.Kundu and Ira M.Cohen, Academic press.
Fluid Mechanics - An Intermediate Approach -,by Bijay K.Sultanian, Academic press.

メッセージ

Students need a lot of expressions of mathematics.
Solving the problem in each classes helps understanding indeed.

キーワード

Vector analysis, Navier-Stokes equation, Boundary layer, Drag force, Lift force, contuinity equation, Material derivative

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