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現在位置: ホーム ja シラバス(2020年度) 工学研究科 化学工学専攻 Advanced Topics in Transport Phenomena

Advanced Topics in Transport Phenomena

JA | EN

科目ナンバリング
  • G-ENG17 5H003 LE76
開講年度・開講期 2020・前期
単位数 1.5 単位
授業形態 講義
配当学年 修士・博士
対象学生 大学院生
使用言語 英語
曜時限 火4
教員
  • 山本 量一(工学研究科 教授)
授業の概要・目的 After general introductions on the flow properties (Rheology) of polymeric liquids as typical examples of non-Newtonian fluids, the relationship (known as the constitutive equation) between strain rate and stress is explained. In addition to classical phenomenological approaches, molecular approaches based on statistical mechanics will be taught in this course. To this end, basic lectures on “Langevin Equation”, “Hydrodynamic Interaction”, and “Linear Response Theory” will also be given.
到達目標 To understand strength and weakness of both phenomenological and molecular approaches to formulate general behaviors of non-Newtonian fluids mathematically as forms of constitutive equations. Also to learn mathematical and physical methodologies necessarily to achieve this.
授業計画と内容 - Polymeric Liquids / Rheology(6回)
Shedding lights on the nature of polymeric liquids in comparisons with simple Newtonian liquids. Various formulations on the characteristic behaviors of polymeric liquids based on both empirical and molecular approaches are lectured.

- Stochastic Process / Langevin Equation(3回)
To deal with Brownian motions of particles in solvents, a lecture on Langevin equation is given after some basic tutorials on stochastic process.

- Green Function / Hydrodynamic Interaction(2回)
To deal with motions of interacting particles in solvents, a lecture on the hydrodynamic interaction is given after some basic tutorials on Green function and Poisson equation.

Understanding Check(1回)
成績評価の方法・観点 Answers to several questions and exercises, which will be given during the course, are used to judge.
履修要件 Under graduate level basic knowledge on “Fluid Mechanics / Transport Phenomena” and basic mathematics including “Vector Analyses” are required.
授業外学習(予習・復習)等 Notify if necessary.
教科書
  • Transport Phenomena 2nd Ed., Bird, Stewart, Lightfoot, (Wiley)
参考書等
  • Introduction to Polymer Physics, Doi, (Oxford) Theory of Simple Liquids 4th Ed., Hansen, McDonald, (Academic Press) Colloidal Dispersions, Russel, Saville, and Schowlter, (Cambridge)