MAE 210A Fall Quarter 2006

Fluid Mechanics I

Fall Quarter 2006

Stefan LLEWELLYN SMITH
EBUII 574
x23475
http://mae.ucsd.edu/~sgls

This is the homepage for MAE210A/CENG210A during Fall Quarter 2006. Last updated: December 8, 2006.

Lectures

Lectures: Tuesdays and Thursdays, 12:30-1:50 pm in WLH 2111. No formal office hours; I sit in EBU II 574, e-mail sgls@ucsd.edu. TA: Sébastien Michelin (smichelin@ucsd.edu). Office hours: Monday 10-11 am in EBUII 569. Recitations: Wednesdays 3-4 pm and Thursdays 230-2:30 pm in EBUII 305. If you have a question and can't make these times, e-mail him).

Semi-required text

The book for the class is Fluid Mechanics (3rd edition) by Kundu and Cohen, Elsevier Academic Press (on reserve at S&E library). Other books you might find useful:

Elementary Fluid Dynamics, D. J. Acheson, Oxford University Press. Very clear and concise (also on reserve).
Physics of Continuous Matter, B. Lautrup, IoP Press. Good introduction to continuum mechanics written by a physicist (ordered by reserves).
An Introduction to Fluid Dynamics, G. K. Batchelor, Cambridge University Press. Not as introductory as one might wish.
Hydrodynamics, Sir Horace Lamb, Cambridge University Press/Dover. Hard-core book from the 1930s. Read it and be impressed.
Schaum's outline of theory and problems of vector analysis and an introduction to tensor analysis, M. R. Spiegel, McGraw-Hill (on reserve).
An Album of Fluid Motion, M. Van Dyke, Parabolic Press (on reserve).
A Gallery of Fluid Motion, Ed. Samimy et al., Cambridge University Press (ordered by reserves).

Syllabus

Introduction
Vector analysis and tensors
Fluid kinematics
Conservation laws
Bernoulli's theorem
Irrotational flow
Exact solutions of the Navier-Stokes equations
Dimensional analysis

Lecture Schedule (provisional)

Sep 21: I Introduction (handout)
Sep 26: II Vector analysis and tensors
Sep 28: III Fluid kinematics
Oct 3: (Cont.)
Oct 5: (Cont.) HW I due
Oct 10: IV Conservation laws
Oct 12: (Cont.)
Oct 17: (Cont.) HW II due
Oct 19: V Bernoulli's theorem
Oct 24: VI Irrotational flow
Oct 26: Midterm
Oct 31: (Cont.) HW III due
Nov 2: (Cont.)
Nov 7: (Cont.)
Nov 9: VII Exact solutions of the Navier-Stokes equations
Nov 14: (Cont.) HW IV due
Nov 16: (Cont.)
Nov 21: Problem session (Erik Hurlen)
Nov 23: Thanksgiving Holiday
Nov 28: VIII Dimensional analysis HW V due
Nov 30: (Cont.)

Homework

Homework policy: you may discuss problems amongst yourselves, but everything you write and hand in should be your own work.

0 (practice). Solutions.
I Solutions.
II Solutions. Q3 (linearization) detailed solution.
III Q4: inviscid, not viscous. Solutions.
IV Solutions.
V Solutions.

Midterm

October 26. 80 minutes in class, closed book, closed notes, no calculator. Solution.

Suggestions about homework and such from a previous class

Final

The final will be on Wednesay December 6th from 11:30 am-2:30 pm. A make-up exam will only be provided for medical reasons with proper documentation from a physician. The final will cover the material lectured during the course and the material assigned as reading. Solutions.

Grading policy

I remind you of UCSD's policy on academic integrity. I may rescale the three components (homework, midterm and final) separately to arrive at the final grade.