SIO 214a Introduction to Fluid Mechanics (section 907951), Fall 2017 (4 units)

### syllabus & course information

*Instructor*: Sarah Giddings

*Class times:* Sept 28 – Dec 7, Tu/Th 9:30-10:50

*Problem sessions:* Tu 14:00-15:20

*Location:* Vaughan Hall, room 100

*Office hours:* TBD, MESOM 363, or email me to set up an appointment

### course summary:

A survey of classical problems in fluid mechanics and approximate techniques of analysis. Topics include kinematics, conservation equations, laminar flows, stability of laminar flows, and turbulent flow through a series of problem vignettes. **Prerequisites:** graduate standing or consent of instructor.

### course schedule (see here for course notes):

#### * Week 1-2: Introduction, mathematics refresher, kinematics

#### * Week 2-3: Conservation laws

#### * Week 4: Bernoulli, hydrostatics, Boussinesq

#### * Week 4-6: Problem vignettes (Plane-Couette flow, wind driven flow on a lake, lubrication problem, Stokes first and second problems, Blazius boundary layer)

#### * Week 6-8: Vorticity, potential flows, flow around bluff bodies, lift/drag

#### * Week 8-9: Problem vignettes (gravity current, horizontal convection, Raleigh Bernard, instability, etc.)

#### * Week 10: Conservation of Energy and Hydraulics

#### * Week 11: Reynolds experiment, turbulence, course review

### credit & homework:

Participation in class and problem sessions is critical as we expect you to become proficient at problem solving and intuitive reasoning. While many of the assignments, mini-labs, and participation are not directly graded, a lack of engagement and understanding will be evident during the final exam. Grades will be based on homework (not graded but must participate in problem sessions, turn in homework, and make your own corrections, 20%), mid-term (20%), and an oral final exam (60%).

### references:

*Textbooks:*

Fluid Mechanics by Kundu & Cohen, Academic Press (3rd, 4th, 5th or 6th edition)

The 5th edition, with one more coauthor Dowling is now available online

*Additional optional textbooks:*

Introduction to Fluid Mechanics, G. K. Batchelor, Cambridge University Press.

Fluid Mechanics, Lev D. Landau and Evgeny M. Lifschitz, 1959, Pergamon Press.

Lectures on Geophysical Fluid Dynamics, R. Salmon, 1998, Oxford University Press.