2016 Fluid Mechanics (EPS course)

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Academic unit or major
Undergraduate major in Earth and Planetary Sciences
Nakamoto Taishi  Okamoto Taro 
Course component(s)
Day/Period(Room No.)
Tue3-4(S321)  Fri3-4(S321)  
Course number
Academic year
Offered quarter
Syllabus updated
Lecture notes updated
Language used
Access Index

Course description and aims

Fluid mechanics has profound importance in Earth and planetary sciences because various phenomena on the Earth and planets are related to the dynamic motion of the fluids. This course is designed as an introductory course for fluid mechanics for Earth and planetary sciences: it begins with fundamental aspects of fluid mechanics and will deal with typical fluid motions in the field of Earth and planetary sciences.

Student learning outcomes

By completing this course, students will able to
(1) Understand the basic terms and equations of the fluid mechanics,
(2) Understand the basic aspects of the flow of inviscid, incompressible fluid,
(3) Understand the basic aspects of the flow of viscous fluid,
(4) Understand the basic aspects of the fluid mechanical stability.


inviscid and incompressible fluids, viscous fluids, geophysical fluid dynamics

Competencies that will be developed

Specialist skills Intercultural skills Communication skills Critical thinking skills Practical and/or problem-solving skills

Class flow

This course mainly consists of lectures. Discussions will be held about exercises.

Course schedule/Required learning

  Course schedule Required learning
Class 1 Basics for fluids. Understand the concept of the fluid as a continuum.
Class 2 Motion of fluids Understand how to describe the motion of the fluids.
Class 3 Fundamental equations of fluid mechanics (1): the equation of continuity Understand the equation of continuity
Class 4 Fundamental equations of fluid mechanics (2): the stress tensor Understand the stress tensor and constitutive relations.
Class 5 Fundamental equations of fluid mechanics (3): the equation of motion Understand the equation of motion
Class 6 Fundamental equations of fluid mechanics (4): the energy equations Understand energy equations
Class 7 Ideal fluids (1): the circulation theorem Understand the circulation theorem
Class 8 Ideal fluids (2): the Bernoulli's theorem Understand the Bernoulli's theorem
Class 9 Ideal fluids (3): the potential flow Understand the potential description of the fluid flow.
Class 10 Viscous fluids (1): the steady flow Understand effect of viscosity in steady flow
Class 11 Viscous fluids (2): similarities in fluid flow Understand similarities in fluid flow
Class 12 Viscous fluids (3): turbulence Understand physical aspects of turbulence
Class 13 Rotating fluid Understand fluid motions under rotating coordinate system.
Class 14 Fluid mechanical stability (1): the concept of stability Understand how to describe the concept of stability mathematically.
Class 15 Fluid mechanical stability (2): thermal convection Understand the conditions for the thermal convection



Reference books, course materials, etc.

Fluid Mechanics, Landau & Lifshitz, Butterworth-Heinemann

Assessment criteria and methods

Student's knowledge and understanding of fluid mechanics are assessed by contents of reports and exams.

Related courses

  • EPS.B203 : Mechanics (EPS course)
  • EPS.B212 : Electromagnetism (EPS course)
  • EPS.B201 : Mathematics for Physics A (EPS course)
  • EPS.B210 : Mathematics for Physics B (EPS course)
  • EPS.B202 : Thermodynamics (EPS course)

Prerequisites (i.e., required knowledge, skills, courses, etc.)

It is recommended to complete the courses of Mechanics (EPS course), Electromagnetism (EPS course), Mathematics for Physics A (EPS course), Mathematics for Physics B (EPS course) and Thermodynamics (EPS course) before taking this course.

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