Introduction to Fluid Mechanics 2020

SIO 214a Introduction to Fluid Mechanics (section 20949), Fall 2020 (4 units)

syllabus & course information

Instructor: Sarah Giddings
Class times: 01 Oct – 05 Dec 2020, Tu/Th 09:30-10:50
Problem sessions: Tuesdays 08:30-09:20
Location: REMOTE to start, we may transfer to Hubbs Hall 4500 if COVID-19 conditions allow.
Zoom lecture link: contact instructor or view through Canvas
Office hours: TBD 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 (overview, detailed course notes to be posted soon):

* Week 1-2: introduction, mathematics refresher, kinematics

* Week 2-3: conservation laws

* Week 4: Boussinesq, Bernoulli, hydrostatics,

* Week 4-6: problem vignettes (Poiseuille-Couette flow, wind driven flow on a lake, lubrication problem, Stokes first and second problems, Blazius boundary layer, gravity current, etc.)

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

* Week 8-9: conservation of energy and hydraulics

* Week 9: horizontal convection

* Week 11: instability (Raleigh Bernard, KH instability, Reynolds experiment), turbulence, course review

 

credit & homework:

Participation in class and problem sessions is critical as I 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 oral exam. Grades will be based on homework (20%), a take-home mid-term (20%), and an oral final exam (60%).

*** please see the course syllabus for expanded information regarding grading as well as expected ethical conduct.

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.

*** please see the course syllabus for expanded reference options for particular topics.