1. Lecture 6: Thermal and Fluid System

2. Heat Flow

4. Water Tank Example

6. Write the differential equations that relate the flow in to the tank to the flow out of the tank.

7. Key Equations for Dynamic Models

8. Chapter 3: Block Diagrams Block Diagram Model: Helps understand flow of information (signals) through a complex system Helps visualize I/O dependencies Elements of block diagram: Lines: Signals Blocks: Systems Summing junctions Pick-off points Transfer Function Summer/Difference Pick-off point + + U2 U1U1+U2 U U U

9. Three Examples of Elementary Block Diagrams (a) Cascaded system G 1 (s)G 2 (s) (b) Parallel system G 1 (s)+ G 2 (s) (b) Negative feedback system

10. Block Diagram: Simplification Rules = =

11. Block Diagram: Reduction Rules = =

12. Block Diagram Simplification Example: Simplify the block diagram

13. Example