Tentative Lecture Outline (this will evolve depending on the class)

 

Week

Topic

HW Problems and Reading:

DUE ON THE DAY

1 (January 8)

Physical Principles: What are fluids? The continuum hypothesis and the complexity of geological materials. Observing “physically”. Control volumes and problem solving strategies.

TUESDAY

Heuberger et al., Density Fluctuations Under Confinement: When Is a fluid not a fluid? Science, 292, 905-908, 2001.

 

CER Ch. 1 - 3 (review material as needed)

 

THURSDAY

Home experiment: CV choice. Turbulent jets and plumes in the kitchen

 

Read: CER Ch. 4.1-4.3, 5

Read: PF 2.1-2.4.2 (as needed)

Probs:  CER 5.3, 5.4, 5.5, 5.10, 5.12, 5.16;

 

2

Physical Principles: Systems, control volumes and integral forms of the conservation laws. Practice with various geological fluid flow problems. Dimensional analysis and scaling analysis to build physical insight;

 

 

TUESDAY

Read: CER Ch. 4.1-4.3, 5

Read: PF 2.1-2.4.2 (as needed)

Supplemental problems: Review 1

 

THURSDAY

Read CER Ch. 6.1-6.4; PF 2.4.3-2.4.4

 

Probs: PF 2.3, 2.4, 2.8

 

Supplemental problem: Lava lakes, bubbles and gas loss. Home experiment: Kinetics and gas loss from soda driven by a salt shaker.

 

3

QUIZ 1.  More practice with real problems; Links between variations in momentum flux, dynamic pressure and surface forces including drag.  Volcanic ballistics and forces on river bends.

TUESDAY

Re-read as needed: CER Ch. 6.1-6.4; PF 2.4.3-2.4.4

 

Supplemental problem: Mass conservation: Sedimentation from volcanic clouds with predictions for deposits

 

 

Probs: PF 2.12, 2.14, 2.18 , 2.19

 

THURSDAY

Supplemental problem: Home experiments on momentum fluxes and Bernoulli effects

 

4

Momentum conservation along and across streamlines.  Euler and Bernoulli equations. More practice. How fast do turbulent gravity currents generally go?

TUESDAY

Supplemental problem: Drag. Ballistics calculation and analysis of field data

 

THURSDAY

 

5

QUIZ 2. Continuum mechanics review; Div, Grad, Curl; Links between vorticity, circulation and dynamic pressure variations

TUESDAY

Supplemental problem: Kinematics. Home experiments on simple and pure shear and melting ice

 

Read and outline supplemental notes on continuum mechanics as needed;

Read: PF 1.3

Supplemental problems: Review 2

 

 

THURSDAY

Quiz

 

6,7

Kinematics of fluids; Lagrangian and Eulerian reference frames; Velocity gradients; PDEs of fluid flow; Navier Stokes Equations; Boundary Conditions

 

MIDTERM EXAM (probably outside of class, week 7)

 

TUESDAY

Read: CER Ch. 4; PF Ch. 3 (this is long)

Probs: 1.7,1.16,1.18, 3.3, 3.5

 

THURSDAY

Supplemental problems: Kinematics

 

 

 

 

TUESDAY (After Break)

R: PF Ch. 6.1-6.4

 

 

THURSDAY

Probs: PF   3.5 ; 3.20 ; 3.22 (ignore heat transfer!)

 

8

Working with the equations of motion; Scaling, simplifying and building understanding of the PDEs of fluid flow by example

 

 

TUESDAY

MIDTERM

 

THURSDAY

Probs:,

 

9

Very slow (creeping) flows; Velocity gradients and viscous stresses; Plate tectonics; Spreading mantle plumes and very viscous lava flows and glaciers; Mantle plume rise

 

 

TUESDAY

R: PF Ch. 4; 6.1-6.4 (again or for the first time)

 

 

 

THURSDAY

PROJECT PROPOSAL DUE

 

 

 

 

10,11

Scaling theory; More about slow flows; lubrication. Plume-lithosphere interactions; thermal entrainment

 

 

Boundary layers and boundary conditions, vorticity production, advection and diffusion. Lava lake tectonics

 

 

TUESDAY

Supplemental problems:

Home experiment on very viscous gravity currents

 

THURSDAY

 

TUESDAY

QUIZ 3 (week 11)

 

Journal Article Review Due (graduate students only)

 

THURSDAY

PF: 5.2, 9.1-9.2 (9.8 is neat but optional)

 

Supplemental problems: Home experiment on boundary layers

 

11,12

Laminar and Turbulent gravity currents of various class. Dynamic pressure variations, vorticity and momentum exchange, instability and mechanical entrainment;

 

Closure: Tying things together

 

TUESDAY

Supplemental problem: Home experiment on turbulent gravity currents

 

THURSDAY

 

TUESDAY

Supplemental problem: Home experiment on turbulent gravity currents

Last class (wk 12)

Time-permitting or by demand (if we are out of time): The instability and collapse of molecular clouds and the origin of our solar system

 

 

April 10

12:30 PM: Project Talks (Food handled by Sam)