10401: Continuum Physics
Spring 2001
Course
description from the student handbook
Teachers
Tomas Bohr
(lectures) Department of Physics, Building 309, room 256, tel. 3310. E-mail: tbohr@fys.dtu.dk
Mogens Samuelsen (lecture) Department of Physics, Building 309, room
219, tel. 3248.
E-mail: mrs@fysik.dtu.dk
Lectures
Monday 11.10 - 12.30 and Thursday 9.35 - 10.55 Auditorium
38 in Building 306.
Exercises
Monday 13.30-15.30 in room 028 in Building 307.
Requirements
Three homework assignments are given during the semester and they replace
the examination. Each assignment will be given a number of points. The
final grade for the course (in the 13-scale) will be based on the points
obtained in the individual assignments.
Course material
The lectures will be based on Benny
Lautrup:
Continuum Physics: Exotic and Everyday Phenomena
in the Macroscopic World (The Niels Bohr Institute 2000/2001), volume
1-2 which will be available from the first day of lectures (Feb. 5) at
the Expedition at the main entrance of building 309 at a price of 100 kr
pr. volume.
Additional useful literature
D. J. Tritton: Physical Fluid Dynamics (Oxford 1988)
D. J. Acheson: Elementary Fluid Dynamics (Oxford 1990)
M. van Dyke: An Album of Fluid Mechanics (The Parabolic Press
1982)
Claus Schelde Jacobsen: Introduktion til Fluid Mekanik (DTU
1998)
Jørgen Fredsøe: Hydrodynamik (DTU 1991)
Niels Olhoff og Arne Gudmann Nielsen: Noter til Styrkelære
II (Faststofmekanik, DTU)
Pauli Pedersen: Elasticity - Anisotropy - Laminates (Solid Mechanics,
DTU)
Schedule for homework exercises:
-
Homework assignment 1: available March 1, due March 12. It can be found
here
after March 1.
-
Homework assignment 2: available March 29, due April 19. It can be found
here
after March 29.
-
Homework assignment 3: available May 10, due May 21. It can be found here
after May 10. Additional material here.
Logbook:
Click here
for the course logbook: day-to-day info and status.
Calender
(Will be updated during the semester):
-
1. Monday, Feb 5 (TB): Continuum fields and equations. Dimensional analysis.
Gallery of fluid motion. (Chap 1-2)
-
2. Thursday, Feb 8 (TB): Gravity (Chap 3)
-
3. Monday, Feb 12 (TB): Fluids at rest (Chap 4)
-
Exercises:
Problems for chapter 2 and 3 (in particular 2.8, 2.10 and 3.3)
-
4. Thursday, Feb 15 (TB): Buoyancy, stability of ships (Chap 5)
-
5. Monday, Feb 19 (TB): Planets and stars (Chap 6)
Exercises:
Problems for chapter 4 and 5 (in particular 4.5 and 5.5). Homework
exercise #1
from 1999.
-
6. Thursday, Feb 22 (TB): White dwarf stars. Tides on the Earth. (Chap
6-7 + notes)
-
7. Monday, Feb 26 (TB): The shape of a rotating planet. Theory of Legendre
polynomials. (Chap 7) Notes here.
-
Exercises: Problems
for chapter 6 and 7 (in particular 6.6 and 7.6). Homework exercise
#1
from 2000.
-
8. Thursday, Mar 1 (MRS): Description of elastic bodies: Stress. (Chap
8) Assignment 1 available
-
9. Monday, Mar 5 (MRS): Description of elastic bodies: Strain. Elasticity
of isotropic solids. (Chap 9)
-
Exercises: Problems
6.5, 8.5, 8.6, and 8.10.
-
10. Thursday, Mar 8 (MRS): Hookes law. (Chap 10)
-
11. Monday, Mar 12 (MRS): Examples of elastic deformations. Elasticity
in cylindrical and spherical coordinates
(Chap 11). Assignment
1 due
Exercises:
Problems 9.3, and10.3.
-
12. Thursday, Mar 15 (MRS): Buckling. Bending of beams. (Notes)
-
13. Monday, Mar 19 (MRS): Sound in solids. (Chap 12 + notes)
-
Exercises:
Discussion of Assignment 1.
-
14. Thursday, Mar 22 (TB): Fluids in motion. Euler's equation. (Chap
13 - 14)
-
15. Monday, Mar 26 (TB): Bernoulli's theorem. Potential flow. (Chap
14)
-
Exercises: Problems 13.1, 13.4,13.5, 14.3, 14.4, 14.5
-
16. Thursday, Mar 29 (TB): Examples of potential flows. (Chap 13
- 14).
Assignment 2 available
-
17. Monday, Apr 2 (TB): The Navier Stokes equation. Simple laminar flows
(Chap
15 - 16)
-
Exercises: Problems from chap. 15. KU Eksamen vinter 2000/20001.
-
18. Thursday, Apr 5 (TB): Viscous flows with a free surface. Rotating
Couette flow. Taylor vortices. (Chap 16)
-
Apr 9 - Apr 16: Easter Holidays
-
19. Thursday, Apr 19 (MRS): Sound in Fluids. (Chap 17)
Assignment
2 due.
-
20. Monday, Apr 23 (MRS): Creeping flow. Stokes solution of a
falling sphere. Exercises: Discussion of Assignment 2
-
21. Thursday, Apr 26 (MRS): Surface waves I. (Notes)
-
22. Monday, Apr 30 (MRS): Surface waves II. (Notes)
-
Exercises: To be assigned
-
23. Tuesday, May 3 (MRS): Surface tension. Capillary waves.
Rayleigh-Plateau instability. (Notes)
-
24. Monday, May 7 (MRS): Whirls and Vortices. (Chap 20)
-
Exercises: To be assigned
-
25. Thursday, May 10 (MRS): Rotating flows. Geostrophic approximation.
Assignment
3 available (Chap 22)
-
Monday, May 14: no lecture
-
26. Thursday, May 17 (TB): The bathtub vortex - lecture and demonstration
(Chap
21 + 22.5)
-
27. Monday, May 21: Final lecture. Assignment
3 due.
-
Monday, May 28: Discussion of Assignment 3 and final marks (14:00 in
room 250, 2. floor of building 309).
Tomas Bohr
January 2001