Introduction to Fluid Dynamics

AMS107/PHYS107/AMS217: Introduction to Fluid Dynamics

Instructor: Prof. Nic Brummell, Applied Math and Statistics

This course focuses on the fundamentals of fluid dynamics as applied to astrophysical and geophysical systems. We will deal with: a kinematic understanding of fluid flows (how do we describe flows?, the continuum hypothesis, Eulerian and Lagrangian descriptions, etc); a dynamic understanding of fluid flows i.e. the various equation sets describing inviscid and viscous flow derived from conservation laws; dynamic similarity and scale analysis; inviscid potential flows; gravity waves; exact solutions of Navier-Stokes equations; boundary layer formulations; and a selection of more advanced topics such as numerical simulations, compressible flows and some introductory discussions of fluid instabilities, waves, chaos, nonlinear equilibration, and turbulence.

The course is aimed at providing the student with a basic understanding of fluid dynamics, both intuitively and from an applied mathematics point of view.

By the end of the course, you will know how to fly and how to throw a good curve ball in baseball!

The regular lecture material will be augmented with video presentations and experimental demonstrations.

Lectures:

Earth & Marine B210, Tues/Thurs, 4:00-5:45pm

Primary Required Text:

Kundu, Cohen and Dowling (= K), Fluid Mechanics (5th ed., Academic Press)

Lecture Notes

Extra video sessions and office hours:

Wednesday at 5:15pm in BE358

The URL for the set of videos if you are not coming to the session is here, or get them directly on YouTube here

10/08: "Flow Visualization"
10/15: "Eulerian Lagrangian Descriptions"
10/22: "Pressure and fluid acceleration"
10/29:
11/05: "Vorticity I and II"
11/12: "Rotating flows"
11/19: "Secondary Flows"
12/03: "Waves in Fluids" & "Stratified Flow"
12/10: "Fundamentals of Boundary Layers" & "Low Reynolds Number Flow"

Announcements Archive

09/10: Get ready ... ! First class Thurs Oct 2nd ...
10/03: First set of lecture notes -- Chapter 1 -- are up! See below.
10/09:

Second set of lectures notes -- Chapter 2 Part 1 -- are up! See below
HW1 due by today.
HW2 -- Hero's Fountains: Fountain off next Thursday, Oct 16th?

10/14:

Class pics are published here!

10/16:

FOUNTAINS TODAY!!!!

10/22:

HW3 due tomorrow! Thurs 23rd Oct
Next section of lectures notes published

10/28:

APOLOGIES, I WILL NOT BE HERE TO LECTURE YOU TODAY! Grad student Ryan Moll will teach lecture. Treat him nicely!
I will alsoNOT be around for Wed video session either. You can start watching the "Vorticity" two parts series in your own time.
Next section of lectures notes published
HW4 is up for your pleasure ;)

11/05:

Forgot to mention in class: Vorticity movies tonight BE 358 5:15pm

11/06: Here is the collection of Vortex ring stuff that I showed in class:

11/12:

So you slackers didn't show up to class yesterday BUT there are still movies tonight BE 358 5:15pm!! Rotating flows.

11/18:

Self-test midterm up in the Homework section :)

11/26:

HW5 due in today (or tomorrrow, haha!). You can email me a PDF if easier than physical paper.
NO MOVIE SCREENING TONIGHT! We'll carry on next week.
You CAN come see me if you have class questions etc though. Email me to confirm.
NOTE THAT YOU CAN ENTER YOUR ONLINE COURSE EVALUATIONS DEC 1ST-14TH

Please do! I encourage EVERYONE to do this. Make your voice heard!
Please be constructive.

12/02:

Does this look familiar? Nicely explained!

http://themetapicture.com/she-simply-drags-her-plate-along/

12/12:

CONGRATULATIONS YOU ARE DONE!
FINAL IS ON MONDAY 15TH AT 4PM-7PM USUAL PLACE
PRACTICE FINAL QUESTIONS ARE HERE!
PS. DOES ANYONE HAVE FOUNTAIN VIDEOS? (I lost mine on broken phone). Please email them to me if you do, thx!

Instructors and Assistants

Nicholas H Brummell (brummell) (Instructor)