CENG 101A Fall Quarter 2006

Introductory Fluid Mechanics

Fall Quarter 2006

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

This is the homepage for CENG101A during the Fall Quarter 2006. Last updated: December 15, 2006.

E-mail

Please make sure the e-mail address UCSD has on file for you is correct. I may end up giving out crucial information via e-mail, so if your e-mail does not work you may miss this crucial information.

Times

Lectures: Mondays, Wednesdays and Fridays, 10:00-10:50 am in CENTR 212; Lectures/quizzes: Fridays 2:00-2:50 pm in CENTR105. Professor's office hours: MW 2:00-3:00 pm in EBU II 574. TA: Vladimir Guzaev (vguzaev@ucsd.edu). TA problem sessions: W 3-5 pm in EBUII 312; office hours: Tu 10-11 am in EBUII 312.

Text

Welty, Wicks, Wilson and Rorrer, Fundamentals of Momentum, Heat and Mass Transfer (4th edition), Wiley. (Also for CENG101B.)

Other useful books (all on reserve):
Young, Munson and Okiishi, A Brief Introduction to Fluid Mechanics (various editions), Wiley. Chapters 1-9. Clear short book.
Bird, Stewart and Lightfoot, Transport Phenomena, Wiley. All you need to know for chemical engineerrs.
Multi-media fluid mechanics (CD Rom). Good animations and movies.

Syllabus

Lecture Schedule

Sep 22: Chapter I Concepts and Definitions
Sep 22: Review of vector calculus
Sep 25: Chapter II Fluid Statics
Sep 27: (Cont.)
Sep 29: (Cont.)
Sep 29: Chapter III Description of a Fluid in Motion HW I due
Oct 2: Chapter IV Conservation of Mass: Control-Volume Approach
Oct 4: (Cont.)
Oct 6: Chapter V Newton's Second Law: Control-Volume Approach HW II due
Oct 6: Quiz I
Oct 9: (Cont.)
Oct 11: Chapter VI Conservation of Energy: Control-Volume Approach
Oct 13: (Cont.)
Oct 13: HW III due
Oct 16: Chapter VII Shear Stress in Laminar Flow
Oct 18: (Cont.)
Oct 20: (Cont.) HW IV due
Oct 20: Quiz II
Oct 23: Chapter VIII Analysis of a Differential Fluid Element in Laminar Flow
Oct 25: (Cont.)
Oct 27: Chapter IX Differential Equations of Fluid Flow HW V due
Oct 27: Review session
Oct 30: (Cont.)
Nov 1: (Cont.)
Nov 3: Chapter X Inviscid Fluid Flow HW VI due
Nov 3: Quiz III
Nov 6: (Cont.)
Nov 8: (Cont.)
Nov 10: Veterans' Day Holiday
Nov 10: Veterans' Day Holiday
Nov 13: Chapter XI Dimensional Analysis HW VII due
Nov 15: Chapter XII Viscous Flow
Nov 17: HW VIII due
Nov 17: Quiz IV
Nov 20: (TA) Review session
Nov 22: Chapter XIII The Effect of Turbulence on Momentum Transfer
Nov 24: Thanksgiving Holiday
Nov 24: Thanksgiving Holiday
Nov 27: Chapter XIV Flow in Closed Conduits HW IX due
Nov 29: (Cont.)
Dec 1: (Devin Conroy) Review session and survey HW X due
Dec 1: Quiz V

Homework

Homework will be assigned every week and will be due by a specific time the following week. Homework should be turned in to the TA in class. No late homework will be accepted. I encourage you to discuss the homework among yourselves, but what you write and hand in should be your own work.

I Due Sep 29. Question 1: the units for sigma are W m^-2 K^-4 and Btu hr^-1 ft^-2 ºR^-4. Question 5: the integral should be -rho \int gz dS_z , i.e. the z-component of the vector n dS. Solutions. Mean: 16.2. Standard deviation: 3.9.
II Due Oct 6. Question 3: the velocity field should be U(y/h)ⁿ(1-y/h) and the average velocity should be U/3. Question 5: calculate the density, not the pressure. Solutions. Mean: 17.1. Standard deviation: 4.5.
III Due Oct 13. Question 1: should be dF = mdot dv. Questions 2 and 3: take a control volume with 0<y<delta along the plate; the velocity field at the left edge is u = U (constant). Question 5: you should take the jump to extend from radius r₁ to r₂. Solutions. Mean: 16.6. Standard deviation: 5.8.
IV Due Oct 20. Solutions. Mean: 16.8. Standard deviation: 5.3.
V Due Oct 27. Solutions. Mean: 17.2. Standard deviation: 5.1.
VI Due Nov 3. Solutions. Mean: 14.7. Standard deviation: 5.7.
VII Due Nov 13. Solutions. Question 2: x²/a²+y²/b² = 1 is the equation of the boundary. The fluid is inviscid. Mean: 16.8. Standard deviation: 5.6.
VIII Due Nov 17. Solutions. Mean: 16.8. Standard deviation: 6.0.
IX Due Nov 27. Solutions. Mean: 14.8. Standard deviation: 7.1.
X Due Dec 1. Solutions. Mean: 16.4. Standard deviation: 6.1.

Here are guidelines (some of which should be obvious, I hope):

Name (printed clearly) on top of page.
Box in final answers, especially for problems with multiple (a, b & c) parts.
Label multiple parts of problems (a, b & c) clearly.
List assumptions clearly.
For exams/quizzes, new page for each question.
Staple your answers together.

Quizzes

There will be five 50-minute quizzes every other Friday starting October 6. There will be no make-up exams. All exams are closed book. Bring pencil and calculator to all exams.

I (Euler), (Lagrange). Solutions: Euler, Lagrange. Mean: 13.6. Standard deviation: 4.9.
II (Newton), (Bernoulli). Solutions: Newton, Bernoulli. Mean: 10.1. Standard deviation: 4.5.
III (Navier), (Stokes). Solutions: Navier, Stokes. Mean: 13.6. Standard deviation: 7.1.
IV (Laplace), (Buckingham). Solutions: Laplace, Buckingham. Mean: 17.8. Standard deviation: 6.8.
V (Prandtl), (von Karman). Solutions: Prandtl, von Karman. Mean: 13.9. Standard deviation: 6.8.

Final

The final will be on Monday December 4th from 8-11 am. 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. Mean: 55.9. Standard deviation: 20.6.

Pick up in EBUII 573 with ID.

Equations: I don't like answering the question "Which equations should I memorize?" Either I say everything, which seems useless, or I end up indicating what's on the final. It may seem like there are a lot of equations, but most of them reduce to
a) Bernoulli in some form
b) conservation of something
c) vector calculus relations for streamfunctions, etc...

Grading

Method A: Curve based on: Homework 10%, 4 best of 5 exams 40%, final 50%.
Method B: Absolute scale based on final: A > 80%, B> 70%, C>55%, D>40%.
Your grade will be computed by methods A and B and you will receive the higher of the two. I may rescale the different components (homework, quizzes, final) separately to arrive at the final grade. I do not recommend planning on Method B from the beginning. Method A is more reliable.

Cheating

I remind you of UCSD's integrity on academic dishonesty. Action will be taken in cases of cheating. Don't make it happen to you.