SIMIODE

This project guides students through experimental, analytical, and numerical techniques for understanding the heat (diffusion) equation with nonhomogeneous boundary conditions. In particular, students collect data and model a physical scenario in which heat energy diffuses through a long, thin metal rod that has one of its ends submerged in hot water and the other end in room-temperature water. Students then investigate the subtleties of analytical and numerical techniques used to solve the initial boundary value problem. Finally, the experimental data can be used to compare the theoretical model with the physical phenomenon.

Researchers should cite this work as follows:

• Kimberly Spayd; James Puckett (2019), "9-020-S-HeatDiffusion," https://www.simiode.org/resources/6451.

  BibTex | EndNote

1. boundary conditions
2. collection
3. data
4. Dirichlet
5. experiment
6. heat diffusion
7. heat equation
8. homogeneous
9. initial boundary problem
10. Longer Duration (Week or more project)
11. MatLab
12. modeling
13. Newton's laws
14. non-homogeneous
15. numerical simulations
16. partial differential equation
17. physics
18. project
19. Python
20. Raspberry Pi
21. Separation of veribles