# Syllabus & Schedule - Spring 2013

## Instructor

Benoit Cushman-Roisin

134 Cummings Hall

Telephone: 1-603-646-3248

Email: Benoit.Cushman.Roisin@dartmouth.edu

## Teaching Assistant

Nick Wimer

## Course description

Following a review of the basic equations of fluid mechanics, the subjects of potential flow, viscous flows, boundary layer theory, turbulence, compressible flows, and wave propagation are considered at the intermediate level. The course also includes sections on Computational Fluid Dynamics (CFD) and Biofluid Mechanics. Applications are directed to engineering, geophysics, and beyond to biology. The course provides a basis for subsequent more specialized studies at an advanced level.

*Prerequisites*: ENGS-34 (Fluid Mechanics) or PHYS-44 (Mechanics), or permission of the instructor.

## Web address

http://thayer.dartmouth.edu/~d30345d/courses/engs150.html

## Textbook (suggested)

*Fluid Mechanics*

by Pijush K. Kundu, Ira M. Cohen & David R. Dowling

5^{th} edition

Academic Press © 2012

## Course Objectives

- Ability to perform mass, momentum and energy balances in fluid systems
- Ability to apply the Bernoulli principle in various situations
- Ability to perform a boundary layer analysis
- Knowledge of various types of waves and wakes
- Knowledge of homogeneous, shear and convective forms of turbulence
- Understanding of the various approach to computational fluid dynamics
- Basic understanding of biological fluid dynamics

## Course Format

- Lectures by instructor (Monday-Wednesday-Friday 8:45-9:50am)
- X-hour on Thursday 9:00-9:50am (not used unless something happens)
- Weekly graded homeworks (Friday to Friday)
- Term project (in groups of 3 or 4 students)
- Mid-term exam (take home, 2+ days, open books)
- Final exam (take home, 2+ days, open books)

## Project

Students will group themselves in teams of 3 to 4 students (preferably 3), and each team will conduct a term-long project under the supervision of the TA and professor. Students decide on the nature of their project but need to obtain approval from the professor, based on the following criteria.

The project must involve a laboratory experiment, an outdoor investigation, or a computational simulation. Examples of acceptable projects are:

- Experimental investigation of bicycle-wheel drag (with comparison among different wheel models)
- Experimental study of one type of waves and verification of the corresponding theoretical formulas (ex. roll waves on a sheet of water flowing downhill)
- In-situ determination of the wind profile in the vicinity of a building
- Computer simulation of the flow around a structure such as a skyscraper or wind turbine
- Computer simulation of a continuously stirred chemical reactor
- Computer simulation of road traffic as a fluid flow.

Each project will culminate in the writing of a 15-to-20 page report stating the problem, describing the method of solution, and concluding with a discussion. In addition, each team will deliver a 20-minute oral presentation summarizing the project at the end of the term.

## Grading

- 25% Homeworks
- 25% Project
- 25% Mid-term exam
- 25% Final exam

## Academic Honor Code

As always, students are expected to observe all aspects of the Academic Honor Principle in effect at Dartmouth College. In this course, collaboration is allowed during homework preparation, although students have to turn in their individual answers. No collaboration whatsoever is allowed during the mid-term and final examinations. During those assignments, questions may only be directed to the instructor or TA.

Dartmouth College policy requires that any apparent violation of the Honor Code be reported to the Committee on Standards. The professor does not have another choice, regardless of how he/she may feel.

## Note on laptop use in class

Use of laptop computers is forbidden during class. The only granted exception is to students with documented writing disabilities who need a computer for note taking.

## Note to students with disabilities

Students with any type of disability are encouraged to contact the instructor to discuss their needs and what accommodations are necessary. Such contact should be made at the beginning of the term or, in the case of a new condition, as soon as it occurs.

## Scheduling

Week of | Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|---|

25 March | Introduction, Variables, Continuity |
- | Strain, Vorticity, Stress |
- | Momentum and energy budgets |

1 April | Vorticity | - | Circulation theorems | - | Bernoulli; Irrotational flows |

8 April | Capillary & gravity waves |
- | Group velocity | Experiments with vacuum cleaner |
Ship wakes |

15 April | No Class(Professor away) |
- | Viscous flows |
Lubrication theory | Boundary layers (part 1) |

22 April | Boundary layers (part 2) |
- | No class(Day of solidarity) |
Aerodynamics of sports balls |
Homogeneous turbulence |

29 April | Shear turbulence |
Mid-term exam assigned (at 10am) |
Turbulent jets |
Mid-term exam due (at 5pm) |
Convective turbulence |

6 May | Airfoil theory | - | Utilization of the lift force |
- | Brenden EppsPropulsion of fish |

13 May | Compressible flows (part 1) |
- | Compressible flows (part 2) |
- | Oleg BatishchevRockets |

20 May | CFD-1: Introduction & Finite Differences |
- | CFD-2: Finite Elements Lattice-Boltzmann |
- | Biofluids-1: Vascular system |

27 May | Memorial DayCollege Holiday |
- | Biofluids-2: Pulmonary system |
Student project presentations | Final exam assigned (at 10am) |

3 June | Final exam due (at 5pm) |
- | - | - | - |