Fluid dynamics

Fall 2007

Professor Stephen Childress.

Wednesday, 9:30-11:20 am in Room 813 WWH

Office Hours: TBA.

This course is a new one-semester fluids course that will cover incompressible fluid flow as well as the basics of gas dynamics. will discuss basic fluid dynamics, both physical and theoretical aspects. Notes are being prepared and will be handed out. See "books" below for text and reserve books for supplemental reading.

Materials and Content

Books

Videos

Tentative syllabus

Note: Click on a lecture to get topics and reading assignments.

Lecture 1: Eulerian and Lagrangian descriptions of a fluid.
Lecture 2:Conservation of mass and momentum.
Lecture 3: Dynamics of an inviscid fluid.
Lecture 4: Euler flows and vorticity.
Lecture 5: Vorticity continued. Potential flow begun.
Lecture 6: Potential flow continued.
Lecture 7: Calculation of virtual mass. The lifting airfoil. Thrust production in flapping flight.
Lecture 8: Models of drag in two dimensions. Prandtl's lifting-line theory of the 3D wing.
Lecture 9: Navier-Stokes equations. The stress tensor. Elementary solutions
Lecture 10:Low Reynolds number flow.
Lecture 11:High Reynolds number flow: boundary layers.
Lecture 12: The energy equation
Lecture 13: Gas dynamics in one space dimension.
Lecture 14: Shocks.

COURSE NOTES

Chapters 1 to 4 Get PDF file
Chapter 5 Get PDF file
Chapter 6 Get PDF file
Chapter 7 Get PDF file
Chapter 8 Get PDF file
Notes on compressible flow Get PDF file
Corrections to Notes for compressible flow Get PDF file.
GET PDF PF COMPLETE SET OF NOTES HERE

HOMEWORK ASSIGNMENTS It is worth trying all of the problems. Those to be handed in by registered students for grading will be due on the following dates:

September 19, problems 1.1-1.6 of notes.
September 26, problems 2.1-2.6 of notes.
October 10. Problems 3.1-3.6 and 4.1-4.2 of notes. NOTE: In problem 3.1 the vorticity is v_x-u_y = omega. In problem 3.6 the integrals with respect to "t" are from 0 to 1.
October 24, problems 4.3-4.9, 4.11-4.13.
October 31, problems 5.1, 5.3,5.4,5.7.
November 14, problems 6.1-6.7 and problems from chapter 5.
Problems 7.1, 7.2,7.3. NOTE: this and subsequent problems are due in the last week of the course.
Problems 8.1-8.5.