MAE 210A/CENG 210A Winter Quarter 2018

Fluid Mechanics I

Winter Quarter 2018

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

This is the homepage for MAE210A/CENG210A during Winter Quarter 2018. Last updated: March 21, 2018.

Lectures

Lectures: MWF 11-11:50 am in PCYNH 120. My e-mail address is sgls@ucsd.edu, but if you have a question, talk to me before or after class, or come to office hours. Office hours (MAE210A/CENG210A and MAE294B/SIOC203B): I will aim to be available MTuThF 9–10 am, probably MF in EBU II 574, TuTh in Keck 365 (SIO). It is your responsibility to come and find me if you have questions, concerns, etc... TA: Yue (Cynthia) Wu (yuw099@eng.ucsd.edu). Office hours: W 2–3 pm in EBU II 378. Problem classes: W 1–2 pm in EBU II 270 and Th 9–10 am in EBU II 370.

Semi-required text

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

Elementary Fluid Dynamics, D. J. Acheson, Oxford University Press. Very clear and concise (on reserve).
Physics of Continuous Matter, B. Lautrup, IoP Press. Good introduction to continuum mechanics written by a physicist (on reserve).
An Introduction to Fluid Dynamics, G. K. Batchelor, Cambridge University Press. Not as introductory as one might wish (on reserve).
Hydrodynamics, Sir Horace Lamb, Cambridge University Press/Dover. Hard-core book from the 1930s; still relevant (on reserve).
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 (on reserve).

Syllabus (some times out of date; see above)

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)

Jan 8: I Introduction
Jan 10: II Vector analysis and tensors (handout)
Jan 12: (Cont.) HW 0
Jan 15: Martin Luther King Day
Jan 17: (Cont.)
Jan 19: (Cont.) III Fluid kinematics HW I due
Jan 22: (Cont.)
Jan 24: IV Conservation laws
Jan 26: (I will be unvailable) Review session (Cynthia)? HW II due
Jan 28: (Cont.)
Jan 30: (Cont.)
Feb 2: (Cont.) HW III due
Feb 5: (Cont.)
Feb 7: V Bernoulli's theorem
Feb 9: (Cont.) HW IV due
Feb 12: Midterm
Feb 14: VI Irrotational flow
Feb 16: (Cont.)
Feb 19: Presidents' Day
Feb 21: (Cont.)
Feb 23: (Cont.) HW V due
Feb 26: (Cont.)
Feb 28: VII Exact solutions of the Navier-Stokes equations
Mar 2: (Cont.) HW VI due
Mar 5: (Cont.)
Mar 7: (Cont.)
Mar 9: (Cont.) HW VII due
Mar 12: (Cont.)
Mar 14: VIII Dimensional analysis
Mar 16: (Cont.)

Homework

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

0 (practice). Solution.
I Due January 19. Solution.
II Due January 26. Solution.
III Due February 2. Solution.
IV Due February 9. Solution.
V Due February 23. Solution.
VI Due March 2. Solution.
VII Due March 9. Solution.

Midterm

February 12. 50 minutes in class, closed book, one sheet of notes, no calculator. Solution.

Final

The final will be on Monday March 19th 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. It will be open-note. Solution.

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.