Course description from the student handbook

Tomas Bohr  Department of Physics, Building 309, room 256, tel. 3310. E-mail: tbohr@fysik.dtu.dk

Mogens Samuelsen  Department of Physics, Building 309, room 219, tel. 3248.
E-mail: mrs@fysik.dtu.dk

Lectures
Monday 13-15 in room 245 of building 309.

Exercises
Monday 15-17 in room 245 of building 309.

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), which will be available from the first day of lectures (Feb. 4) at the Expedition at the main entrance of building 309 at a price of 200 kr or at the lectures.

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)
Steven Vogel: Life in Moving Fluids (Princeton 1994)
 

• Homework assignment 1: available March 4, due March 18. It can be found here after March 4.
• Homework assignment 2: available April 9, due April 23. It can be found here after April 9.
• Homework assignment 3: available May 6, due May 24. It can be found here after May 6. Additional material here.

Click here for the course logbook: day-to-day info and status.

1. Monday, Feb 4 (TB): Continuum fields and equations. Dimensional analysis. Gravity (Chap 1-3)

Exercises: Problems for chapter  2  and 3 (in particular 2.10-2.13,3.4, 3.5, 6.13 )

2. Monday, Feb 11 (TB): Fluids at rest, hydrostatics, buoyancy, stability of ships (Chap 4-5)

Exercises: Problems for chapter  4 and 5 (in particular 4.1, 4.2, 5,6, 5.8 and 5.9). Also, you can try

homework exercise #1 from 1999.

3. Monday, Feb 18 (TB): Tides on the Earth.  The shape of a rotating planet. Legendre polynomials. (Chap 7)
Extra notes here.

Exercises: 7.1, 7.2, 7.7, 7.8, 7.9, 7.11. Also, you can try homework exercise #1 from 2001.

4. Monday, Feb 25 (MRS): Description of elastic bodies: Stress and strain. (Chap 8-9)

Exercises: Problems 8.7, 8.8, 8.11, 9.3, 9.4, and 9.5.

5. Monday, Mar 4 (MRS): Elasticity of isotropic solids. Hookes law. Examples of elastic deformations. Elasticity in cylindrical and spherical coordinates (Chap 10-11)

Exercises: Problems 10.1-10.4, 11.4, and 11.5. Assignment 1 available

6. Monday, Mar 11 (MRS): Buckling. Bending of beams. Sound in solids. (Chap 11-12 )

 Exercises: Problems 11.8-11.10 and 12.1.

7. Monday, Mar 18 (TB): Fluids in motion. Euler's equation.  Bernoulli's theorem. Potential flow. Control volume formulation (Chap 13.1-4, Chap 14, Chap 15.1-4)

Exercises: 13.2, 13.3, 13.8, 14.1, 14.2, 14.4, 15.1, 15.4, 15.8 .Assignment 1 due

Mar 25 - Apr 1: Easter Holidays -Påske

8. Monday, Apr 8 (TB): The Navier Stokes equation. Simple laminar flows . The Reynolds number.

Viscous flows with a free surface. Rotating Couette flow. Taylor vortices. (Chap 16.1-4,17)

Exercises: 16.3, 16.5, 17.1-3, 17.5-9, 17.12Assignment 2 available

9. Monday, Apr 15 (TB): Sound in fluids (Stokes II). Stokes flow. Life at low Reynolds numbers. (Chap 18.1, 19 + Notes by Purcell)

18.2, 19.1, 19.2, eksamensopgave 2001/2002

10. Monday, Apr 22 (MRS):  Surface waves  (Notes)

Exercises: 3.4, 3.5, 3,6, 3.13, and 3.14 all from the Notes.
Assignment 2 due.

Exercises: Discussion of Assignment 2

11. Monday, Apr 29 (MRS):  Surface tension. Capillary waves. Rayleigh-Plateau instability. (Notes,

especially pp. 22-31, 110-113, and 131-136)

Exercises:

12. Monday, May 6 (TB): Boundary layers (Chap 22)

Exercises for chap. 22.

Assignment 3 available

Exercises:

13. Monday May 13 (MRS): Whirls and Vortices. Rotating flows. Geostrophic approximation. The bathtub vortex  - lecture and demonstration (Chap 21+ 23)

Exercises for chap. 21 and 22.

Friday, May 24 Assignment 3 due.

Friday, May 31: Discussion of Assignment 3 and final marks (14:00 in room 250, 2. floor of building 309).