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最終更新日:2026年10月16日

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機械工学特別講義II

「流体応力場の物理と再構成(Fluid Stress Fields: Physics and Reconstruction)」
This course, "Fluid Stress Fields: Physics and Reconstruction," aims to provide an understanding of the physics of stress and pressure fields in fluid flows, as well as the theories and methodologies for reconstructing these fields from observable data. While conventional fluid measurements have primarily focused on velocity fields, this course adopts a perspective that directly addresses stress fields in order to achieve a more fundamental understanding of fluid phenomena.
The course begins with a review of the governing equations of fluid mechanics and the stress tensor, emphasizing how stresses are generated and transported within fluid flows. It then introduces the relationship between physical quantities and observational data obtained through optical measurement techniques, such as polarized-light imaging and photoelasticity, thereby clarifying the process of inferring physical quantities from experimental observations. Furthermore, the course covers the basic concepts of three-dimensional reconstruction and inverse problem analysis, providing a theoretical framework for estimating stress fields in fluids.
Integrating concepts from fluid mechanics, measurement science, and numerical analysis, this course aims to equip students with a comprehensive understanding of both the physics of fluid stress fields and modern approaches for reconstructing physical quantities from measurement data.
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時間割/共通科目コード
コース名
教員
学期
時限
3724-051
GEN-ME6b31L2
機械工学特別講義II
高木 周
S1 S2
集中
マイリストに追加
マイリストから削除
講義使用言語
日本語、日本語/英語
単位
2
実務経験のある教員による授業科目
NO
他学部履修
可
開講所属
工学系研究科
授業計画
This course is offered in an intensive format (equivalent to 105 minutes × 3 sessions per day for 2 days) and corresponds to a 2-credit graduate-level course. 1. Fundamentals of Fluid Mechanics and the Stress Tensor 1.1 Navier–Stokes equations and stress 1.2 Relationship between velocity and stress fields 2. Flow Structures and Physical Quantities 2.1 Shear, extension, and vorticity 2.2 Observable quantities and physical variables 3. Fundamentals of Optical Measurements 3.1 Polarization and birefringence 3.2 Stress-optic law 4. Measurement and Reconstruction of Stress Fields 4.1 Correspondence between image data and physical quantities 4.2 Fundamentals of three-dimensional reconstruction (tomography) 5. Inverse Problems and Numerical Analysis 5.1 Fundamental concepts of inverse problems 5.2 Introduction to machine learning and data-driven approaches
授業の方法
Prof. Yoshiyuki Tagawa, Tokyo University of Agriculture and Technology, gives the lectures. The lecutures are given in English with in-person style on July 24th and 27th as Intensive Lecture Course.
成績評価方法
Reports and Exercise Priblems
履修上の注意
Undergraduate-level coursework in Vector Analysis, Linear Algebra, and Differential Equations is expected.