# ME 6700 - Intermediate Graduate Fluid Mechanics

Fall 2007

## Class Information

Instructor: Eric Pardyjak

Office: Room 160 KEN

Phone: 585-6414

email: pardyjak@eng.utah.edu

Class Syllabus

Final Exam: Friday December 14 1-3pm 120 WEB

## Announcements

12/10/2007: Click hereto access the data for the **turbulent boundary layer lab** held on Wednesday Dec. 5.

12/05/2007: Click here to access the data for the **turbulent boundary layer lab** held on Monday Dec. 3.

11/28/2007: Lab 2 sessions will be held Monday (12/3) and Wednesday (12/5) in the PFD lab (building 60). Be sure to attend lecture the days you do not have lab.

10/2007: The due date for Homework 3 has been extended until Wednesday October 17 after break.

9/20/2007: The due date for Homework 2 has been extended until Monday September 24.

## Homework Solutions

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

## Class Calendar

Week | Class | Date | Day | Topic | Reading Due | Homework Due | Handouts |

1 | 1 | 08/20 | M | Introduction | None | None | Syllabus |

1 | 2 | 08/22 | W | Math Review | Kundu Ch.1 | None | Math Review Notes |

1 | 3 | 08/24 | F | Math Review - Integrals | Kundu Ch.1 | None | |

2 | 4 | 08/27 | M | Math Review - Examples | Kundu 2.10,2.13,2.14 and 4.1,4.2 | Homework 0 | |

2 | 5 | 08/29 | W | Tensors and Summation Notation | Kundu Ch 2.1-2.9, Stull Handout | None | Reynolds Transport Theorem |

2 | 6 | 08/31 | F | Reynolds Transport Theorem | Currie Handout | ||

3 | 09/03 | M | Labor Day - No Class | ||||

3 | 7 | 09/05 | W | Conservation of Mass | Kundu 4.3 | Homework 1 | Differential forms of Conservation Equations |

3 | 8 | 09/07 | F | Conservation of Momentum | Ch.4 Kundu | ||

4 | 9 | 09/10 | M | Conservation of Momentum | |||

4 | 10 | 09/12 | W | NS Equations Problem Session | |||

4 | 11 | 09/14 | F | NS Equations More Problems | NS Notes 1 NS Notes 2 | ||

5 | 12 | 09/17 | M | Introduction to the Energy Equation | Kundu 4.14 | ||

5 | 13 | 09/19 | W | Mechanical Energy | Kundu 4.13 | ||

5 | 14 | 09/21 | F | Dimensional Analysis | Kundu 3.1-4.4 and Ch. 8 | ||

6 | 15 | 09/24 | M | Similarity | Dimensinal Analysis Handout | Homework 2 | |

6 | 16 | 09/26 | W | Scale Analysis | Bejan Handout | ||

6 | 17 | 09/28 | F | Laminar Boundary Layer Introduction | Kundu Ch. 10 | ||

7 | 18 | 10/01 | M | Blasius Solution | Kundu 10.5 | ||

7 | 19 | 10/03 | W | von Karmen Integral Analysis | Kundu 10.6 | ||

7 | 20 | 10/05 | F | ||||

8 | 10/08 | M | Fall Break - No Class | ||||

8 | 10/10 | W | Fall Break - No Class | ||||

8 | 10/12 | F | Fall Break - No Class | ||||

9 | 21 | 10/15 | M | Laminar Boundary Layer Scaling Analysis | |||

9 | 22 | 10/17 | W | Blasius Solution Introduction | Homework 3 | ||

9 | 23 | 10/19 | F | Blasius Solution | |||

10 | 24 | 10/22 | M | Boundary Layer Measures | Ch.10.3 | Runge Kutta Handout Shooting Method Notes | |

10 | 25 | 10/24 | W | Midterm Exam | |||

10 | 26 | 10/26 | F | Fundamentals of Boundary Layers Video | |||

11 | 27 | 10/29 | M | von Karmen Momentum Integral | |||

11 | 28 | 10/31 | W | Karman-Polhausen Approximation | Kundu Ch. 10.6 | Blasius Numerical Solutions | |

11 | 29 | 11/02 | F | Pressured Gradients and Separation | Kundu 10.7 | ||

12 | 30 | 11/05 | M | Introduction to Vorticity | Kundu Ch. 5 | Homework 4, Kundu 10.1,3,4,5 | |

12 | 31 | 11/07 | W | Simple Vortex Flows | Kundu Ch.3.11 | ||

12 | 32 | 11/09 | F | Vorticity Transport Equation | Kundu 5.5 | ||

13 | 33 | 11/12 | M | Vorticity Transport | Kundu 5.5 | Vorticity Handout | |

13 | 34 | 11/14 | W | Kelvin's Circulation Theorem/Lab 1 session 1 | Kundu 5.4 | ||

13 | 35 | 11/16 | F | Kelvin's Circulation Theorem/Lab 1 session 2 | |||

14 | 36 | 11/19 | M | APS Conference - Attend your session | |||

14 | 37 | 11/21 | W | APS Conference - No Class | Homework 5, Kundu 5.2,3,7,8 (5700 2,3a and b, 8) | ||

14 | 11/23 | F | Thanksgiving Holiday | ||||

15 | 38 | 11/26 | M | Vorticity Video | |||

15 | 39 | 12/28 | W | Circulation and Vorticity Applications | APS Homework due | ||

15 | 40 | 11/30 | F | Turbulence Lecture 1 | Kundu Ch13.1-10 | Lab 1 due | Ecke Turbulence Review Article |

16 | 41 | 12/03 | M | Turbulence Lecture 2/Lab 2 session 1 | Kundu Ch13.11-13.12 | ||

16 | 42 | 12/05 | W | Turbulence Lecture 2/Lab2 session 2 | Ecke Review Article | ||

16 | 43 | 12/07 | F | Final Exam Review Class | Homework 6 | ||

12/10 | M | Lab 2 Due | |||||

12/14 | F | Lab 3 Due - YouTube Lab |

## Extra Handouts

Vorticity handout

Vorticity Sample problmes

## Laboratory Information

Lab TA: Balwinder Singh

balwindersingh@gmail.com