Lesson 8 Dimensional Analysis & Similitude

## Goals

- Concepts. Explain/apply key concepts
^{1}: Pi-group, Model, Prototype, Similitude, Geometric similitude, Dynamic similitude.

- Procedural Knowledge.
- Apply the Pi-Buckingham theorem to identify the # of pi groups.
- Apply the step-by-step method to find pi-groups.
- Relate pi-groups and/or variable between models and prototypes

- Factual Knowledge.
- Describe meaning of common pi-groups (Table 8.3).
- Explain how to achieve similitude (2 key ideas).

## Resources

- Chapter 8

## Plan to reach goals

- Lecture. Keynote, Pecha Kucha.
- Text Problems. 8.6, 8.15, 8.18
- Class. 8.14â€”example (I do), 8.21â€”example you do.
- Lecture. Common pi-groups. Similitude.
- HW. Create or improve your documentation so that you know and so that Prof. Elger knows you are on track to reaching the lesson goals.
- Text Problems 8.42, 8.61, 8.74. Correct in red pen using supplied solutions. After problems are done, apply RT to improve your knowledge, beliefs, and skills.