CEE/SSP 262a: Hydrodynamics
Autumn 2008-09
Instructor: Stephen G. Monismith 183 Y2E2
Phone: 723-4764, monismith@stanford.edu
Course hours: TuWTh 5:15-6:05 Discussion section Thursday 6:15 – Y2E2 SSP room
Teaching Assistant: Liv Walter (725-5948) livmw@stanford.edu
Office hours; tba
Text: Kundu, P.K. and I.M. Cohen (2008)1. Fluid Mechanics 4ed, Academic Press/Elsevier
Grading: The grading will be based on the following weighting:
50% HW assignments - group ok
50% Take home final exam - individual only
References:
Acheson, D.J. (1990). Elementary Fluid Dynamics, Oxford Press.
Batchelor, G.K. (1967). An Introduction to Fluid Mechanics. Cambridge University Press.
Lamb, H. (1932). Hydrodynamics. (6 ed.) Cambridge University Press (also Dover).
Liggett, J.A. (1994), Fluid Mechanics, McGraw Hill
Paterson, A. R.(1983). A First Course in Fluid Dynamics, Cambridge
Schlichting, H. (1975). Boundary-Layer Theory. (11 ed.) McGraw-Hill.
Sherman, F.S. (1990). Viscous flow. McGraw Hill.
Sommerfeld, A. (1950). Mechanics of Deformable Bodies, Academic Press.
Trittton, D.J.(1977) Physical Fluid Dynamics. Van Nostrand Reinhold (U.K.).
Van Dyke, M. (1982). An Album of Fluid Motion. Parabolic Press.
White, F.M. (1975). Viscous Fluid Flow, McGraw-Hill
Or any one of a host of others with titles similar to those above
Goals of class:
(1) To introduce the fundamental physical concepts of viscous and vortical fluid flows
(2) To lay the foundation for the study of (complicated) environmental flows
(3) To introduce some of the mathematical approaches used to analyze fluid motions
(4) To render the students fluid-mechanics literate (i.e., able to read the fluid mechanics
literature with some comprehension)
(5) To show the utility of scaling to solving fluid problems
(6) To show that math can be your friend!
ASSIGNMENTS
1.
2.
3.
4.
5.
6.
1
Homework 1 – handed out Sept 23, due Oct 3
Homework 2 – handed out Oct 2, due Oct 17
Homework 3 – handed out Oct 16, due Oct 31
Homework 4 – handed out Oct 30, due Nov 14
Homework 5 – handed out Nov 13, due Dec 2
Take home final – handed out Dec 2, due Dec 12
Earlier editions are also ok
COURSE OUTLINE AND TENTATIVE SCHEDULE
Sept 23
Sept 24
Sept 25
Introduction
Basic math (chapter 2)
Kinematics (§3.1-3.5)
Sept 30
Oct 1
Oct 2
Relative motion about a point (§3.6, 3.7 & 3.9)
Rate of strain
Streamfunction,,vorticity and circulation (§3.13, 3.8 & 3.11)
Oct 7
Oct 8
Oct 9
Reynolds Transport Theorem (§4.1&4.2)
Conservation of momentum: The Navier-Stokes equation (§4.5- 4.11)
Simple examples of viscous flows and the Navier Stokes eqn. (§9.12)
Oct 14
Oct 15
Oct 16
Bernoulli equation (§4.16)
Unsteady inviscid flow around a cylinder (§6.9)
Surface gravity waves (§7.1-7.6)
Oct 21
Oct 22
Oct 23
Pressure and the Boussinesq approximation
Coriolis force & geostrophy (§4.12, 13.3-13.5)
Poiseulle-Couette flows (§9.4)
Oct 28
Oct 29
Oct 30
Wind-driven flow in a lake (handout)
Conservation of mass (§4.3), scalars and heat
Horizontal convection in a long box (JFM paper)
Nov 4
Nov 5
Nov 6
More long box
GFD: The Ekman layer (§13.6)
Stokes first problem (§9.7);
Nov 11
Nov 12
Nov 13
Vorticity dynamics (§5.5-5.9 )
Vorticity dynamics cont.
Scaling and boundary layers (§10.1&10.2)
Nov 18
Nov 19
Nov 20
Boundary layers on a flat surface (§10.5 & 10.7)
Ekman layers as boundary layers
Boundary layers and mass transfer
Nov 24 – 28
Thanksgiving break
Dec 2
Dec 3
Dec 4
Baroclinic vorticity example: Internal waves (§14.14)
More internal waves
Summary