MTuWThF 11:30-12:20: ATG 310c
Note: I have changed the Tuesday class to 11:30-12:20 and
we will use it for a quiz (problem-solving) section. Thursdays at
11:30-12:20 will be used for making up lectures missed due to my travel schedule.
Instructor: Prof. Chris Bretherton breth@washington.edu ATG 704, x5-7414 Office hours: MW 12:30-1:20, (after class) or by appointment. |
Course description | Prerequisites | Textbook | Schedule/Syllabus | Grading | Homework and Exams | Matlab scripts |
Note: We won't discuss Cartesian tensors or singular perturbation theory in any depth, but we will do sound waves. We will emphasize air and water as example fluids.
Day | Date | Type | Topic | Kundu Reading |
We | 28 Sep | Lecture+videos | What is a fluid? Continuum approx., viscosity, | 1.1-1.5 |
Th Fr |
Lecture |
Surface tension. Statics & thermodynamics: Pressure, hydrostatic balance, thermodynamics, compressibility, potl density, scale height |
1.6-1.10 | |
Mo Tu We |
3 Oct 4 Oct 5 Oct | NO CLASS | Instructor at NRC meeting in Washington DC | |
Th Fr | Lecture | Essentials of vector analysis, indicial notation, div, grad and curl. Vorticity and circulation. |
2.1-2.3 2.7-2.10 | |
Mo |
Lecture |
Lagrangian vs. Eulerian views, material derivative, mass conservation |
3.1-3.4, 4.3 | |
Tu |
11 Oct |
Quiz section | ||
We Th Fr |
Lecture |
Forces and stresses. Momentum conservation equation. |
4.5-4.8 | |
Mo | Lecture | Energy conservation equations I | 4.13-4.15 | |
Tu |
18 Oct |
Quiz section | ||
We |
19 Oct | Lecture | Energy conservation equations II | 4.13-4.15 |
Th | Lecture | Bernoulli's equation for steady inviscid barotropic flow. | 4.16-4.17 | |
Fr | Lecture | Boundary Conditions | 4.19 | |
Mo Tu We |
24 Oct 25 Oct 26 Oct | NO CLASS | Instructor at WCRP meeting in Denver | |
Th Fr | Lecture | Linear sound waves and Mach number | 16.1-16.2 | |
Mo Tu |
31 Oct 1 Nov | NO CLASS | Instructor at CPT meeting in Boulder CO | |
We | Lecture | Kelvin's circulation theorem | 5.4 | |
Th | 3 Nov | Lecture | Vortex tubes and vortex lines. | 5.1-2, 5.4 |
Fr | Lecture | Vorticity equation, vortex stretching and tilting | 5.5-5.7 | |
Mo Tu We |
7 Nov 8 Nov 9 Nov | NO CLASS | Instructor at NRC meeting in Irvine CA | |
Th |
10 Nov | MIDTERM | Closed book, 1 double-sided page of notes. Covers thru 28 Oct. | |
Fr |
11 Nov | NO CLASS | Veterans Day Holiday | |
Mo | Lecture | Some vortical flows | 3.11, 5.8-5.9 | |
Tu |
15 Nov |
Quiz section |
Includes discussion of midterm | |
We | Lecture | Potential (irrotational incompressible) flow - general properties and mathematical description | 6.1-6.2 | |
Th Fr | Lecture | Potential flow around a cylinder and airfoil. Circulation, lift and drag | 6.9-6.10 | |
Mo | 21 Nov | Lecture | Swirling flow in a narrowing pipe | 10.1-10.10 |
Tu |
22 Nov |
Quiz section | ||
We | Lecture | Surface gravity waves - mathematical formulation | 7.4 | |
Th Fr |
24 Nov 25 Nov | NO CLASS | Thanksgiving Holiday | |
Mo | Lecture | Surface gravity waves - dispersion reln. | 7.4 | |
Tu |
29 Nov |
Quiz section | ||
We | Lecture | Surface gravity wave physics | 7.5 | |
Th | Lecture | Viscous stress vs.strain for Newtonian fluids. Navier-Stokes equation. | 4.10-11 | |
Fr | 2 Dec | Lecture | Scaling analysis, dynamical similarity, Reynolds number, low Re flow. Pics of flow around a cylinder from Van Dyke's Album of Fluid Motion (1982, Parabolic Press) scanned by physics.bu.edu/~redner/542/refs/flow-pix.pdf. | 8.7 |
Mo | 5 Dec | Lecture | Laminar shear and pipe flow. | 9.4-5 |
Tu |
6 Dec |
Quiz section | ||
We Th |
Lectures |
Shear instability at a stratified interface |
12.6 | |
Fr |
9 Dec |
Video |
Turbulence (29 min, NCFMF) | |
We | 14 Dec | Final Exam | 2:30-4:20pm, open book |
Please email or call me to arrange another meeting time if you need to talk to me outside office hours.
I will be out of town on:
View before | Topic |
Fr 30 Sep | |
We 10 Oct |
Eulerian and Lagrangian Descriptions in Fluid Mechanics (27 min) |
Fr 21 Oct | Pressure fields and fluid acceleration (31 min) |
Th 4 Nov | Vorticity Part 1 and Part 2 (45 min combined) |
Th 1 Dec | Waves in Fluids (33 min) |
Th 8 Dec |
Item | Due Date | Download Solutions |
HW1 | Fri 7 Oct | HW #1 Solutions |
HW2 | Fri 14 Oct | HW #2 Solutions |
HW3 | Fri 21 Oct | HW #3 Solutions |
HW4 | Fri 28 Oct | HW #4 Solutions |
HW5 | Fri 4 Nov | HW #5 Solutions |
HW6 | Wed 23 Nov | HW #6 Solutions |
HW7 | Fri 2 Dec | HW #7 Solutions |
HW8 | Fri 9 Dec | HW #8 Solutions |
HW2, problem 2: Script to make this plot of velocity vectors, sample streamlines, and the evolution of a square of dye in a deformation flow u=D*x, v=-D*y, D = 1, y > 0.
Evolution of steady inviscid constant-density swirling flow in a pipe with an upstream nondimensional radius 1, uniform along-pipe flow U=1 and a swirling velocity component V = S*r after the flow moves into a part of the pipe where the pipe radius narrows by 50%. The script swirl_demo_commands.m calls functions to make the plot and animations we saw in class. To use it, open a Matlab command window and hit any key when it pauses. Plots (see links for examples) include
Homework 6 solution scripts for problems 1, 2 and 3. All use ComplexPotlCirc.m and ComplexPotlCircDeriv.m.