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:

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