2.25 Advanced Fluid Mechanics, Fall 2002

教學大綱

Homework problems from Shapiro and Sonin's Advanced Fluid Mechanics Problems are indicated in the course outline for each topic. The homework problems are not to be turned in. Instead, they will be discussed in the tutorial sessions. Three tutorials are scheduled per week, but the idea is that each student should come to one session each week, usually the same one. Three sessions are scheduled, partly to accommodate a variety of student schedules and partly to reduce the class size and allow for a more informal atmosphere for discussion.

The main purpose of this course is not so much to feed the students with "advanced" material (the topics covered do not in fact appear terribly advanced) as to help students develop a mastery of the underlying principles and the ability to solve, quickly and efficiently, a variety of real fluid mechanics problems from first principles. The lectures present and illustrate the fundamental laws and the methods and modeling approximations that form the basis of fluid mechanics. The problems and tutorials help the students gain a mastery of the material and to develop, by practice and trial and error, the mindset of an effective problem solver in fluid mechanics.

Both the assigned problems and the tutorials are entirely voluntary. No problem sets are collected, nor is roll call taken, except perhaps to help the instructors remember the students' names. However, based on repeated experience over many years, you may take our word that your chances of doing well in this course are minimal if you do not independently do at least the assigned problems before the tutorials, and use the tutorials to repair weaknesses and develop new insights. We are ready to help you in every way to master the course material. There is, however, a profound difference between being taught and learning.

There will be two one-hour quizzes during the term, announced well in advance. In order to minimize time pressures, we prefer to give the (nominally) one-hour quizzes in the evening.

There will be a three-hour final exam.

Quizzes and the exam will permit a limited number of pages of open notes (and a calculator and a book of mathematical formulas and tables). No other books will be allowed. The quizzes and the exam will not present you with routine problems, but will probe for mastery of the underlying material and for skill in modeling problems in the simplest possible realistic terms.

Grading will be based on equal weight between the two quizzes and the final exam.

You can gain extra credit by turning in, at the conclusion of the final exam, a notebook in which you have reworked and amplified your lecture notes in cohesive, clearly reasoned form. This is not obligatory, and that your grade will not suffer if you do not do it: grades will be assigned before the notebooks are examined, and only upward adjustments will be made thereafter. However, thinking through and rewriting the lecture notes, preferably on the same day as the lectures and in consultation with a text, is one of the most effective forms of study, and well worth the effort. Please do not bother to turn in a pretty version of what is on the blackboard: extra credit will be given only when it is apparent that thought has gone into the rewriting.

教學時程

相關閱讀資料

Knowledgeable students will be able to read equally profitably from alternative texts, provided they are in the habit of reading broadly and searching out references that satisfy them on the fundamentals.

A second book, Advanced Fluid Mechanics Problems by Ascher H. Shapiro and Ain A. Sonin, is required for all students.

課堂講稿

作業

For Section 5, Control Volume Theorems, a revised set of problems has been posted here with hints and answers as well as some full solutions and examples. This is part of an on-going updating of the problems and the way they are presented. Note that while the web-based problems seem at first sight to be similar to the ones in the problem book, they bear different numbers and are in many cases altered.

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