Fluid Dynamics - Math 6750 - Fall 2013
Lectures:
Instructor:
Office & Phone:
E-mail:
Webpage:
Office Hours:
MW 9:10am-10:30am, ST 208
Christel Hohenegger
LCB 333, (801) 585-1637
choheneg@math.utah.edu
http://www.math.utah.edu/~choheneg
TBD or by appointment
Texts: No textbook is required. Lecture notes will be posted online for each topic.
To supplement the notes, the following books have been put on reserve at the Marriott Library:
Elementary Fluid Dynamics, D.J. Acheson; Oxford Applied Mathematics and Computing Science Series, Oxford University Press 2009 (1990); ISBN 978-0-19-859679-0;
An Introduction to Fluid Dynamics, G.K. Batchelor; Cambridge University Press 2002 (1967);
ISBN 0 521 66396 2.
Fundamental Mechanics of Fluids, I.G. Currie; CRC Press 2013 (4th ed.); ISBN 978-1-43987460-8.
Advanced Transport Phenomena Fluid Mechanics and Convective Transport Processes, L. Gary
Leal; Cambridge Series in Chemical Engineering, Cambridge University Press 2010 (2007);
ISBN 978-0-521-17908-9.
Boundary Integral and Singularity Methods for Linearized Viscous Flow, C. Pozrikidis; Cambridge University Press 1992; ISBN 0 521 40693 5.
Updates: Course webpage http://www.math.utah.edu/~choheneg/fluids.
Prerequisites: “C” or better in MATH 5440 or MATH 6420 .
Description: Topics include derivation of the equations of fluid dynamics, one dimensional
flow, bubbles, lubrication theory, free surfaces, creeping flow, boundary layers and hydrodynamic instabilities.
Homework: There will be six bi-weekly homework sets, collected every other Wednesday
starting on September 11th and ending on December 4th (no homework on November 27th).
Late homework will only be accepted under exceptional circumstances. Collaboration is allowed, however each student is required to turn in his or her own solution.
Final Project: Instead of a final exam, a final project will be due on Tuesday December
17th at 12:00pm. Topics and instructions will be discussed after Fall break.
Grading: Grades are determined according to 60% Homework and 40% Project.
Honor Code: Students are expected to abide by the University of Utah Honor Code and
to avoid any instances of academic misconduct, including but not limited to: substitution
of material that is wholly or substantially identical to that created or published by another
individual or individuals; false claims of performance or work that has been submitted by the
student.
Schedule (tentative):
Weeks
1-3
4
5-6
7
8
9-10
11-12
13-14
15
Dates
08/26-09/04
09/16 & 09/18
09/23-10/02
10/07 & 10/09
10/21 & 10/23
10/28-11/06
11/11-11/20
11/25-12/04
12/09-12/11
Topics
Basic principles, Navier Stokes equations
One dimensional flow
Asymptotics
Lubrication theory
Thin gap and Free surfaces
Creeping flow, Axisymmetric flow
Boundary layers
Hydrodynamic instabilities
TBD