CE 576 Environmental Flows

Spring 2009

 

Course material

 

CE 576 will meet MWF 9 in Town 178.

 

Email Prof. Chris Rehmann for more information.

 

  1. Lecture 1, Mon. January 12:  Introduction

Syllabus

Presentation

Survey

 

  1. Lecture 2, Wed. January 14: Viscous slot flow—dimensional analysis

Presentation

Lecture notes

 

  1. Lecture 3, Fri. January 16: Viscous slot flow—dimensional analysis

Lecture notes

Homework 1

 

  1. Lecture 4, Wed. January 21: Viscous slot flow—dimensional analysis

Lecture notes

 

  1. Lecture 5, Fri. January 23: Viscous slot flow—conservation of momentum and velocity profile

Lecture notes

 

  1. Lecture 6, Mon. January 26: Conservation of mass: derivation

Lecture notes

 

  1. Lecture 7, Wed. January 28: Uses of conservation of mass

Lecture notes

 

  1. Lecture 8, Fri. January 30: Uses of conservation of mass, conservation of momentum

Lecture notes

 

  1. Lecture 9, Mon. February 2: Conservation of momentum

Lecture notes

Homework 2

Files for problem 9: temperatures at x = 230 m, temperatures at x = 680 m, measurement depths, measurement times

 

  1. Lecture 10, Wed. February 4: Conservation of momentum, constitutive relations

Lecture notes

 

  1. Lecture 11, Fri. February 6: Stress and constitutive relations

Lecture notes

Comments on HW 1

 

12.  Lecture 12, Mon. February 9: Example of the stress tensor and the calculation of pressure

Lecture notes

 

13.  Lecture 13, Wed. February 11: Scaling and approximation for viscous slot flow

Lecture notes

 

14.  Lecture 14, Fri. February 13: Scaling and approximation for viscous slot flow, relation to groundwater, particle settling

Lecture notes

 

15.  Lecture 15, Mon. February 16: Particle settling, turbulence flow in pipes and channels

Lecture notes

Comments on HW 2

Homework 3

Data for problem 19

 

16.  Lecture 16, Wed. February 18: Turbulent flow on a wall, log law

Lecture notes

 

17.  Lecture 17, Fri. February 20: Discussion of HW 3

Lecture notes

 

18.  Lecture 18, Mon. February 23: Estimating shear velocity

Lecture notes

 

19.  Lecture 19, Wed. February 25: Open channel resistance

Lecture notes

 

20.  Lecture 20, Fri. February 27: Gradually varied flow

Lecture notes

 

21.  Lecture 21, Mon. March 2: Water surface profiles

Lecture notes

 

22.  Lecture 22, Wed. March 4: Sketching water surface profiles

Lecture notes

Homework 4

 

23.  Lecture 23, Fri. March 6: Sketching water surface profiles

Lecture notes

 

24.  Lecture 24, Mon. March 9: Hydraulic jump

Lecture notes

                      Comments on HW 3

Learning objectives for exam 1

 

25.  Lecture 25, Wed. March 11: Review for the midterm

Lecture notes

Comments on HW 4

 

26.  Lecture 26, Fri. March 13: Midterm

 

27.  Lecture 27, Mon. March 23: Introduction to numerical methods

Lecture notes

Example of a numerical solution

 

28.  Lecture 28, Wed. March 25: Computing water surface profiles

Lecture notes

Example of a computed water surface profile

Homework 5

 

29.  Lecture 29, Fri. March 27: Unsteady viscous flow

Lecture notes

 

30.  Lecture 30, Mon. March 30: Impulsively started plate and extensions

Lecture notes

Velocity profiles for the impulsively started plate

 

31.  Lecture 31, Wed. April 1: Extensions to the impulsively started plate, introduction to river mixing

Lecture notes

 

32.  Lecture 32, Fri. April 3: Analogies in diffusion problems, instantaneous dumping of a contaminant

Lecture notes

Homework 6

 

33.  Lecture 33, Mon. April 6: Dye studies

Lecture notes

 

34.  Lecture 34, Wed. April 8: Shear dispersion and mixing parameters

Lecture notes (Needs to be corrected)

 

35.  Lecture 35, Fri. April 10: Calculations for a dye study

Lecture notes

Formulas for the dispersion coefficient

 

36.  Lecture 36, Mon. April 13: Mixing in more than one dimension, effect of boundaries

Lecture notes

Comments on HW 5

 

37.  Lecture 37, Wed. April 15: Method of images

Lecture notes

 

38.  Lecture 38, Fri. April 17: Determining mixing parameters

Lecture notes

Comments on HW 6

 

39.  Lecture 39, Mon. April 20: The need for boundary layers, boundary layer thickness

Lecture notes

 

40.  Lecture 40, Wed. April 22: The flat plate boundary layer

Lecture notes

Homework 7

Data for problem 38

 

41.  Lecture 41, Fri. April 24: Integral analysis of the flat plate boundary layer

Lecture notes

 

42.  Lecture 42, Mon. April 27: Integral analysis of the thermal boundary layer

Lecture notes

 

43.  Lecture 43, Wed. April 29: Thermal boundary layer, example problems, and review

Lecture notes

 

44.  Lecture 44, Fri. May 1: Review

Lecture notes

Learning objectives

 

45.  Lecture 45, Mon. May 4: Final exam—Town 388, 10 am–12 noon.